Metrics for Toniolo and Linder, Equation (7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze318.0ms (2.2%)

Memory

4.8MiB live, 472.7MiB 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)

sample3.4s (23.5%)

Memory

-46.6MiB live, 3 872.4MiB allocated

Samples

952.0ms	5 366×	0	valid
713.0ms	2 724×	1	valid
384.0ms	2 830×	0	invalid
374.0ms	1 587×	1	invalid
47.0ms	166×	2	valid
21.0ms	85×	2	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-sub: 476.0ms (24.1% of total)

ival-mult: 474.0ms (24% of total)

ival-add: 304.0ms (15.4% of total)

ival-div: 252.0ms (12.7% of total)

ival-sqrt: 235.0ms (11.9% of total)

adjust: 210.0ms (10.6% 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

explain332.0ms (2.3%)

Memory

8.0MiB live, 415.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
119	-	1	(5.562054744336389e+96 -8.729812538803249e-216 -4.30034747533298e-157)	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`
89	-	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))`
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	101
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	76
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	101
↳	`(*.f64 t t)`	overflow	76
↳	`(*.f64 l l)`	overflow	82
`-.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	48	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	41	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	101
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	76
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	101
↳	`(*.f64 t t)`	overflow	76
↳	`(*.f64 l l)`	overflow	41
↳	`(*.f64 l l)`	overflow	41
`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	27	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	27
↳	`(.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	19
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	46
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	19
↳	`(*.f64 t t)`	underflow	46
↳	`(*.f64 l l)`	underflow	148

Confusion

	Predicted +	Predicted -
+	175	1
-	1	79

Precision

0.9943181818181818

Recall

0.9943181818181818

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	175	0	1
-	1	0	79

Precision?

0.9943181818181818

Recall?

0.9943181818181818

Freqs

test

number	freq
0	80
1	145
2	31

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms	168×	1	valid
46.0ms	338×	0	valid
2.0ms	6×	2	valid

Compiler

Compiled 296 to 58 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-add: 20.0ms (31.5% of total)

ival-mult: 15.0ms (23.6% of total)

ival-div: 8.0ms (12.6% of total)

ival-sqrt: 8.0ms (12.6% of total)

ival-sub: 6.0ms (9.5% of total)

adjust: 5.0ms (7.9% of total)

ival-true: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

preprocess521.0ms (3.6%)

Memory

-13.6MiB live, 386.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs l)

(negabs t)

Compiler

Compiled 30 to 18 computations (40% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.5%	(/.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

▶

34.5%

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

Compiler

Compiled 30 to 18 computations (40% saved)

simplify569.0ms (3.9%)

Memory

2.9MiB live, 432.6MiB 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 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (.f64 l (neg.f64 l)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))
(sqrt.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (*.f64 l (neg.f64 l))))
(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (*.f64 l (neg.f64 l)))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(*.f64 l l)
l
(.f64 #s(literal 2 binary64) (.f64 t t))
(*.f64 t t)

localize76.0ms (0.5%)

Memory

22.7MiB live, 99.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(/.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	0.44140625	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	18.825590204222244	(-.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	27.496547227653164	(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

19.0ms	169×	0	valid
17.0ms	84×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

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

ival-mult: 7.0ms (28.6% of total)

ival-div: 4.0ms (16.3% of total)

ival-sqrt: 4.0ms (16.3% of total)

ival-sub: 3.0ms (12.3% of total)

adjust: 3.0ms (12.3% of total)

ival-add: 3.0ms (12.3% of total)

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

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

exact: 0.0ms (0% of total)

series189.0ms (1.3%)

Memory

-45.7MiB live, 130.2MiB 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 (* 2 (pow t 2)) (taylor 0 l) (#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 l) (#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 l) (#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 l) (#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 (pow l 2) (taylor inf l) (#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 (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (taylor inf l) (#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 (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (taylor inf l) (#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 (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (taylor inf l) (#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>) () ())) ())
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Calls

36 calls:

Time	Variable		Point	Expression
49.0ms	l	@	-inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
12.0ms	t	@	0	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
12.0ms	t	@	0	(* (sqrt 2) t)
5.0ms	x	@	0	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
4.0ms	x	@	-inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))

simplify511.0ms (3.5%)

Memory

35.3MiB live, 632.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

rewrite319.0ms (2.2%)

Memory

-3.3MiB live, 667.4MiB 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 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))
(+.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))
(-.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (/.f64 (.f64 l (.f64 l (.f64 l l))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))))
(fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))
(fma.f64 l (.f64 l #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 (.f64 l l) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 t (.f64 #s(literal 2 binary64) t) (.f64 l l))
(fma.f64 t (.f64 (.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal 1 binary64) (*.f64 l l))
(fma.f64 #s(literal 1 binary64) (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))
(fma.f64 (.f64 l (.f64 l (.f64 l l))) (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))
(fma.f64 (.f64 #s(literal 2 binary64) t) t (.f64 l l))
(fma.f64 (.f64 #s(literal 2 binary64) t) (.f64 t #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 (exp.f64 (log.f64 l)) (exp.f64 (log.f64 l)) (.f64 #s(literal 2 binary64) (.f64 t t)))
(fma.f64 (.f64 #s(literal 1 binary64) l) l (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 (.f64 #s(literal 1 binary64) t) (.f64 #s(literal 2 binary64) t) (*.f64 l l))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 t t)) #s(literal 2 binary64) (*.f64 l l))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t)) t (*.f64 l l))
(neg.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l)))))))
(neg.f64 (/.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))) (neg.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64)))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))) (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (*.f64 l l))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)) (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 l (.f64 l (.f64 l l))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))))
(/.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) (neg.f64 (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64)))) (neg.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 l (.f64 l (.f64 l l)))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)))
(/.f64 (-.f64 (.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))))) (.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))))) (neg.f64 (neg.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 l (.f64 l (.f64 l l))))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (fma.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))) (.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))))) (+.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))))
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(.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 l (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))
(.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (.f64 l l)) (.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
(.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))) (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l (.f64 l (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (.f64 l l))) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(.f64 (+.f64 (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (.f64 l (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))

eval82.0ms (0.6%)

Memory: 15.7MiB live, 169.3MiB allocated
Compiler: Compiled 33 915 to 2 340 computations (93.1% saved)

prune106.0ms (0.7%)

Memory

-2.5MiB live, 239.4MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	541	20	561
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	542	20	562

Accuracy

92.8%

Counts

562 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 l l)))))
	9.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l)))))
	23.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
	29.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
	35.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))))
▶	26.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
	53.0%	(/.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 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))))
	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 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
	52.6%	(/.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 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))))
	42.7%	(/.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 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))
	54.2%	(/.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 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
▶	80.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
	53.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (.f64 l l)) (.f64 t (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
	78.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	4.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.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)))))))
▶	34.3%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))) t))
	79.0%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
▶	3.9%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))))))
	4.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))))
▶	77.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 1 174 to 690 computations (41.2% saved)

simplify255.0ms (1.8%)

Memory

-19.6MiB live, 254.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))
cost-diff	0	(/.f64 (sqrt.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))) t)
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	384	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))) t))
cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
cost-diff	0	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))
cost-diff	640	(-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))

Rules

11 750×	`lower-fma.f32`
11 742×	`lower-fma.f64`
3 882×	`lower-*.f32`
3 864×	`lower-*.f64`
2 442×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	575
0	94	571
1	167	571
2	280	561
3	553	551
4	1082	543
5	2550	543
6	4941	543
7	7103	543
0	8026	538

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

localize244.0ms (1.7%)

Memory

26.3MiB live, 231.7MiB allocated

Localize:

Found 20 expressions of interest:

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

Samples

182.0ms

256×

invalid

Compiler

Compiled 544 to 53 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-sqrt: 68.0ms (43.4% of total)

ival-mult: 55.0ms (35.1% of total)

ival-add: 16.0ms (10.2% of total)

ival-div: 12.0ms (7.7% of total)

ival-sub: 3.0ms (1.9% of total)

ival-neg: 2.0ms (1.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series275.0ms (1.9%)

Memory

-26.4MiB live, 131.4MiB allocated

Counts

22 → 492

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

Outputs
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Calls

123 calls:

Time	Variable		Point	Expression
21.0ms	t	@	inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
14.0ms	x	@	0	(/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t)
8.0ms	x	@	inf	(sqrt (/ (+ 1 x) (+ x -1)))
5.0ms	t	@	-inf	(/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))))
5.0ms	x	@	inf	(/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))))

simplify421.0ms (2.9%)

Memory

0.3MiB live, 644.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 466×	`lower-*.f64`
7 466×	`lower-*.f32`
5 378×	`lower-fma.f64`
5 378×	`lower-fma.f32`
3 384×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1461	46448
1	5202	45064
0	8930	42101

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

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)))))))))))
(* (* (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))))))
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(sqrt 2)
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(sqrt 2)
(+ (sqrt 2) (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* (pow t 2) (* x (sqrt 2))))))
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(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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(* 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))))))
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(* -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)))))))
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(sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))
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(* t (sqrt 2))
(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))))
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(* t (sqrt 2))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* x (sqrt 2))))) (* 1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (sqrt 2))))) x)) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2)))
(sqrt -1)
(+ (sqrt -1) (* -1 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (- (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (- (* x (+ (* -1/2 (/ (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) (sqrt -1))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))
(pow (sqrt -1) 2)
(- (pow (sqrt -1) 2) (/ 1 x))
(+ (* -1 (/ (+ 1 (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x))) x)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) x))) x))) x)) (pow (sqrt -1) 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(* -1 l)
(/ (sqrt -1/2) t)
(+ (* 1/4 (/ (pow l 2) (* (pow t 3) (sqrt -1/2)))) (/ (sqrt -1/2) t))
(+ (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/2 (/ 1 (pow t 6)))))) (sqrt -1/2))) (* 1/4 (/ 1 (* (pow t 3) (sqrt -1/2)))))) (/ (sqrt -1/2) t))
(+ (* (pow l 2) (+ (* (pow l 2) (+ (* -1/2 (/ (* t (+ (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/2 (/ 1 (pow t 6))))) (sqrt -1/2))) (* 1/2 (/ (* (pow l 2) (* t (- (* 1/2 (/ 1 (pow t 8))) (* -1/4 (/ (+ (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/2 (/ 1 (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2))))))) (sqrt -1/2))))) (* 1/4 (/ 1 (* (pow t 3) (sqrt -1/2)))))) (/ (sqrt -1/2) t))
(/ (sqrt -1/2) l)
(/ (+ (sqrt -1/2) (* 1/4 (/ (pow t 2) (* (pow l 2) (sqrt -1/2))))) l)
(/ (+ (sqrt -1/2) (+ (* -1/2 (/ (+ (* 1/16 (/ (pow t 4) (pow (sqrt -1/2) 2))) (* 1/2 (pow t 4))) (* (pow l 4) (sqrt -1/2)))) (* 1/4 (/ (pow t 2) (* (pow l 2) (sqrt -1/2)))))) l)
(/ (+ (sqrt -1/2) (+ (* -1/2 (/ (+ (* -1/2 (pow t 6)) (* -1/4 (/ (* (pow t 2) (+ (* 1/16 (/ (pow t 4) (pow (sqrt -1/2) 2))) (* 1/2 (pow t 4)))) (pow (sqrt -1/2) 2)))) (* (pow l 6) (sqrt -1/2)))) (+ (* -1/2 (/ (+ (* 1/16 (/ (pow t 4) (pow (sqrt -1/2) 2))) (* 1/2 (pow t 4))) (* (pow l 4) (sqrt -1/2)))) (* 1/4 (/ (pow t 2) (* (pow l 2) (sqrt -1/2))))))) l)
(* -1 (/ (sqrt -1/2) l))
(* -1 (/ (+ (sqrt -1/2) (* 1/4 (/ (pow t 2) (* (pow l 2) (sqrt -1/2))))) l))
(* -1 (/ (+ (sqrt -1/2) (+ (* -1/2 (/ (+ (* 1/16 (/ (pow t 4) (pow (sqrt -1/2) 2))) (* 1/2 (pow t 4))) (* (pow l 4) (sqrt -1/2)))) (* 1/4 (/ (pow t 2) (* (pow l 2) (sqrt -1/2)))))) l))
(* -1 (/ (+ (sqrt -1/2) (+ (* -1/2 (/ (+ (* -1/2 (pow t 6)) (* -1/4 (/ (* (pow t 2) (+ (* 1/16 (/ (pow t 4) (pow (sqrt -1/2) 2))) (* 1/2 (pow t 4)))) (pow (sqrt -1/2) 2)))) (* (pow l 6) (sqrt -1/2)))) (+ (* -1/2 (/ (+ (* 1/16 (/ (pow t 4) (pow (sqrt -1/2) 2))) (* 1/2 (pow t 4))) (* (pow l 4) (sqrt -1/2)))) (* 1/4 (/ (pow t 2) (* (pow l 2) (sqrt -1/2))))))) l))
(sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2))))
(+ (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))) (* (pow t 2) (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 3)))))
(+ (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))) (* (pow t 2) (+ (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 3))) (* 3/2 (* (pow t 2) (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 5))))))))
(+ (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))) (* (pow t 2) (+ (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 3))) (* (pow t 2) (+ (* 3/2 (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 5)))) (* 5/2 (* (pow t 2) (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 7))))))))))
(/ (sqrt -1/2) t)
(/ (+ (sqrt -1/2) (* -1/8 (/ (- (* -1 (pow l 2)) (pow l 2)) (* (pow t 2) (sqrt -1/2))))) t)
(/ (+ (sqrt -1/2) (+ (* -1/2 (/ (+ (* 1/64 (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (sqrt -1/2) 2))) (* 1/8 (pow (- (* -1 (pow l 2)) (pow l 2)) 2))) (* (pow t 4) (sqrt -1/2)))) (* -1/8 (/ (- (* -1 (pow l 2)) (pow l 2)) (* (pow t 2) (sqrt -1/2)))))) t)
(/ (+ (sqrt -1/2) (+ (* -1/2 (/ (+ (* 1/64 (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (sqrt -1/2) 2))) (* 1/8 (pow (- (* -1 (pow l 2)) (pow l 2)) 2))) (* (pow t 4) (sqrt -1/2)))) (+ (* -1/2 (/ (+ (* 1/16 (pow (- (* -1 (pow l 2)) (pow l 2)) 3)) (* 1/8 (/ (* (+ (* 1/64 (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (sqrt -1/2) 2))) (* 1/8 (pow (- (* -1 (pow l 2)) (pow l 2)) 2))) (- (* -1 (pow l 2)) (pow l 2))) (pow (sqrt -1/2) 2)))) (* (pow t 6) (sqrt -1/2)))) (* -1/8 (/ (- (* -1 (pow l 2)) (pow l 2)) (* (pow t 2) (sqrt -1/2))))))) t)
(* -1 (/ (sqrt -1/2) t))
(* -1 (/ (+ (sqrt -1/2) (* -1/8 (/ (- (* -1 (pow l 2)) (pow l 2)) (* (pow t 2) (sqrt -1/2))))) t))
(* -1 (/ (+ (sqrt -1/2) (+ (* -1/2 (/ (+ (* 1/64 (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (sqrt -1/2) 2))) (* 1/8 (pow (- (* -1 (pow l 2)) (pow l 2)) 2))) (* (pow t 4) (sqrt -1/2)))) (* -1/8 (/ (- (* -1 (pow l 2)) (pow l 2)) (* (pow t 2) (sqrt -1/2)))))) t))
(* -1 (/ (+ (sqrt -1/2) (+ (* -1/2 (/ (+ (* 1/64 (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (sqrt -1/2) 2))) (* 1/8 (pow (- (* -1 (pow l 2)) (pow l 2)) 2))) (* (pow t 4) (sqrt -1/2)))) (+ (* -1/2 (/ (+ (* 1/16 (pow (- (* -1 (pow l 2)) (pow l 2)) 3)) (* 1/8 (/ (* (+ (* 1/64 (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (sqrt -1/2) 2))) (* 1/8 (pow (- (* -1 (pow l 2)) (pow l 2)) 2))) (- (* -1 (pow l 2)) (pow l 2))) (pow (sqrt -1/2) 2)))) (* (pow t 6) (sqrt -1/2)))) (* -1/8 (/ (- (* -1 (pow l 2)) (pow l 2)) (* (pow t 2) (sqrt -1/2))))))) t))
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(* -1 (pow l 2))
(* -1 (pow l 2))
(* -1 (pow l 2))
(* -1 (pow l 2))
(* -1 (pow l 2))
(* -1 (pow l 2))
(* -1 (pow l 2))
(* -1 (pow l 2))
(* -1 (pow l 2))
(* -1 (pow l 2))
(* -1 (pow l 2))
(* -1 (pow l 2))

Outputs
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (*.f64 l l)))))
(* 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 t (fma.f64 (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (*.f64 l l)))))))
(* 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 t (fma.f64 (.f64 t t) (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t t)) (.f64 #s(literal -3 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (*.f64 l l)))))))
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))))
(.f64 t (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal -3 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l))))))) (sqrt.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))) (.f64 (sqrt.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t t)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 #s(literal -3 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l))))))) (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))) (/.f64 (.f64 #s(literal 8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (pow.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) #s(literal 4 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))))
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (.f64 (.f64 t t) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(+ (* -1/2 (* (/ (* (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))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l))) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l))) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (.f64 (.f64 t t) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))))
(+ (* -1/2 (* (/ (* (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)))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l))) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l))) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)))) (/.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l))) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l))) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l))) (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))))) (+.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 6 binary64)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (.f64 l l)) (.f64 (.f64 t t) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))))
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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 (* 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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(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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(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 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 (* 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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(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
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(* t (+ (* 1/2 (* (/ (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (* (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 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (* (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 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
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(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))))
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(* -1 (* t (+ (* 1/2 (* (/ (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))
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(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 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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(neg.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) t))
(* -1 (/ (+ (sqrt -1/2) (* -1/8 (/ (- (* -1 (pow l 2)) (pow l 2)) (* (pow t 2) (sqrt -1/2))))) t))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (*.f64 t t) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (neg.f64 t))
(* -1 (/ (+ (sqrt -1/2) (+ (* -1/2 (/ (+ (* 1/64 (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (sqrt -1/2) 2))) (* 1/8 (pow (- (* -1 (pow l 2)) (pow l 2)) 2))) (* (pow t 4) (sqrt -1/2)))) (* -1/8 (/ (- (* -1 (pow l 2)) (pow l 2)) (* (pow t 2) (sqrt -1/2)))))) t))
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))))) (.f64 (pow.f64 t #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (fma.f64 l l (.f64 l l)))) (.f64 (.f64 t t) (sqrt.f64 #s(literal -1/2 binary64)))))) (neg.f64 t))
(* -1 (/ (+ (sqrt -1/2) (+ (* -1/2 (/ (+ (* 1/64 (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (sqrt -1/2) 2))) (* 1/8 (pow (- (* -1 (pow l 2)) (pow l 2)) 2))) (* (pow t 4) (sqrt -1/2)))) (+ (* -1/2 (/ (+ (* 1/16 (pow (- (* -1 (pow l 2)) (pow l 2)) 3)) (* 1/8 (/ (* (+ (* 1/64 (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (sqrt -1/2) 2))) (* 1/8 (pow (- (* -1 (pow l 2)) (pow l 2)) 2))) (- (* -1 (pow l 2)) (pow l 2))) (pow (sqrt -1/2) 2)))) (* (pow t 6) (sqrt -1/2)))) (* -1/8 (/ (- (* -1 (pow l 2)) (pow l 2)) (* (pow t 2) (sqrt -1/2))))))) t))
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))))) (.f64 (pow.f64 t #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))))) (/.f64 (neg.f64 (fma.f64 l l (.f64 l l))) #s(literal -1/2 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l))))))) (.f64 (pow.f64 t #s(literal 6 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (fma.f64 l l (.f64 l l)))) (.f64 (.f64 t t) (sqrt.f64 #s(literal -1/2 binary64))))))) (neg.f64 t))
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(* -1 (pow l 2))
(*.f64 l (neg.f64 l))
(* -1 (pow l 2))
(*.f64 l (neg.f64 l))
(* -1 (pow l 2))
(*.f64 l (neg.f64 l))
(* -1 (pow l 2))
(*.f64 l (neg.f64 l))
(* -1 (pow l 2))
(*.f64 l (neg.f64 l))
(* -1 (pow l 2))
(*.f64 l (neg.f64 l))
(* -1 (pow l 2))
(*.f64 l (neg.f64 l))
(* -1 (pow l 2))
(*.f64 l (neg.f64 l))
(* -1 (pow l 2))
(*.f64 l (neg.f64 l))
(* -1 (pow l 2))
(*.f64 l (neg.f64 l))
(* -1 (pow l 2))
(*.f64 l (neg.f64 l))
(* -1 (pow l 2))
(*.f64 l (neg.f64 l))

rewrite272.0ms (1.9%)

Memory

4.2MiB live, 431.7MiB allocated

Rules

5 554×	`lower-*.f32`
5 538×	`lower-*.f64`
5 150×	`lower-fma.f32`
5 142×	`lower-fma.f64`
3 982×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	375
0	94	363
1	380	352
2	2671	350
0	8976	350

Stop Event

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

Counts

22 → 401

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

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

eval153.0ms (1.1%)

Memory: 26.6MiB live, 292.2MiB allocated
Compiler: Compiled 80 656 to 2 809 computations (96.5% saved)

prune170.0ms (1.2%)

Memory

7.2MiB live, 290.6MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1 021	14	1 035
Fresh	9	6	15
Picked	4	1	5
Done	0	0	0
Total	1 034	21	1 055

Accuracy

93.7%

Counts

1 055 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(/.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 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))))
▶	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 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
	52.6%	(/.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 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))))
▶	79.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
	53.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (.f64 l l)) (.f64 t (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
	4.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.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)))))))
	10.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 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)))))))
	78.6%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) t))
▶	10.1%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.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)))))) t))
	9.9%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.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)))) (/.f64 l t))))
▶	80.2%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
	9.4%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (.f64 l (fma.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 (fma.f64 t x t) (.f64 (*.f64 l l) (+.f64 x #s(literal -1 binary64)))) (/.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)))) t)))))
	79.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
	79.5%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
	79.4%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))))
	4.8%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (-.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (.f64 t (.f64 t t))) (.f64 (.f64 l l) (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))))) l))
	79.0%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
	10.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
	3.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))
✓	77.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
▶	78.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 1 209 to 666 computations (44.9% saved)

simplify207.0ms (1.4%)

Memory

14.7MiB live, 247.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.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)))))) t)
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	384	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.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)))))) t))
cost-diff	896	(+.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)))
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 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
cost-diff	128	(*.f64 l (+.f64 #s(literal 1 binary64) x))
cost-diff	320	(-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))
cost-diff	0	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
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	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
cost-diff	0	#s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))

Rules

13 624×	`lower-fma.f64`
13 624×	`lower-fma.f32`
2 886×	`lower-*.f32`
2 870×	`lower-*.f64`
1 708×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	664
0	93	659
1	162	651
2	291	651
3	526	651
4	949	627
5	2128	627
6	4749	627
7	7364	627
0	8126	609

Stop Event

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

Calls

Call 1

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

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

localize212.0ms (1.5%)

Memory

0.8MiB live, 281.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.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)))))) t)
accuracy	0.5176707169468766	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.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)))))) t))
accuracy	25.86514201085853	#s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.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))))))
accuracy	36.55926522376248	(+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
accuracy	5.910375976224673	(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))
accuracy	16.39737243446429	(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))
accuracy	21.56236658514524	#s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))
accuracy	22.938602999073158	(-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))
accuracy	0.28125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	0.28125	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.5630952650211855	#s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
accuracy	12.372925918282178	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
accuracy	12.72061188107342	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
accuracy	0.00390625	(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
accuracy	0.01171875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
accuracy	0.5176707169468766	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
accuracy	12.361710388524086	#s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))

Samples

91.0ms	142×	1	valid
31.0ms	96×	0	invalid
9.0ms	12×	2	valid
2.0ms	6×	0	valid

Compiler

Compiled 489 to 48 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-div: 24.0ms (24.1% of total)

ival-mult: 23.0ms (23.1% of total)

ival-add: 16.0ms (16.1% of total)

adjust: 12.0ms (12.1% of total)

ival-sqrt: 12.0ms (12.1% of total)

ival-sub: 10.0ms (10.1% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series70.0ms (0.5%)

Memory

5.2MiB live, 121.5MiB allocated

Counts

22 → 552

Calls

Call 1

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

Calls

138 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (sqrt 2) (sqrt (/ (+ 1 x) (+ x -1))))
1.0ms	l	@	inf	(- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l))
1.0ms	l	@	0	(- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l))
0.0ms	x	@	inf	(- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l))
0.0ms	x	@	-inf	(- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l))

simplify483.0ms (3.3%)

Memory

-26.1MiB live, 577.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 068×	`lower-fma.f64`
7 068×	`lower-fma.f32`
6 948×	`lower-*.f64`
6 948×	`lower-*.f32`
4 892×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1036	47418
1	3522	41167
0	8477	39440

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 551

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)))))))))))
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))))
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))))
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))))
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
(+ (* -1/8 (* (/ (* (pow l 2) (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (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)))))
(+ (* (* (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))))))))
(+ (* (* (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))))))))))
(* (/ (* 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)
(/ (+ (* -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)
(/ (+ (* -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)
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 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))
(* -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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(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
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(+ (* x (+ (* 1/2 (* (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) t) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* x (+ (* -1/2 (* (/ (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1/2 (/ (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) t) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* -1/2 (* (/ (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) t) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))) (* (/ 1 t) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* (pow t 2) (* x (sqrt 2))))))
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(sqrt 2)
(+ (sqrt 2) (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* (pow t 2) (* x (sqrt 2))))))
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(* (sqrt -1) (sqrt 2))
(+ (* -1 (/ (* x (sqrt 2)) (sqrt -1))) (* (sqrt -1) (sqrt 2)))
(+ (* x (+ (* -1 (/ (sqrt 2) (sqrt -1))) (* -1/2 (/ (* x (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* (sqrt -1) (sqrt 2)))
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(sqrt 2)
(+ (sqrt 2) (/ (sqrt 2) x))
(+ (sqrt 2) (+ (* 1/2 (/ (sqrt 2) (pow x 2))) (/ (sqrt 2) x)))
(+ (sqrt 2) (+ (* 1/2 (/ (sqrt 2) (pow x 2))) (+ (* 1/2 (/ (sqrt 2) (pow x 3))) (/ (sqrt 2) x))))
(* (pow (sqrt -1) 2) (sqrt 2))
(+ (* -1 (/ (sqrt 2) x)) (* (pow (sqrt -1) 2) (sqrt 2)))
(+ (* -1 (/ (+ (sqrt 2) (* 1/2 (/ (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))) x))) x)) (* (pow (sqrt -1) 2) (sqrt 2)))
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(* (* 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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(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
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(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
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(* (sqrt 1/2) (sqrt 2))
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(* (sqrt 1/2) (sqrt 2))
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(* (/ 1 t) (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)))))) t)
(/ (+ (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)))))))) t)
(/ (+ (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 x) (- x 1))))
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(* -1 (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))
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(* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))
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(* (/ l t) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (+ (* (/ 1 t) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (/ (* t (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))
(* l (+ (* -1/2 (* (/ (* (pow t 3) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* (/ 1 t) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (/ (* t (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
(* l (+ (* -1/2 (* (/ (* (pow t 3) (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) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (+ (* (/ 1 t) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (/ (* t (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
(* -1 (* (/ l t) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* -1 (* l (+ (* (/ 1 t) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (/ (* t (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
(* -1 (* l (+ (* -1/2 (* (/ (* (pow t 3) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* (/ 1 t) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (/ (* t (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
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(* (/ 1 t) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))
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(+ (* x (+ (* -1/2 (* (/ (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) t) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* 1/2 (* (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) t) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))) (* (/ 1 t) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
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(sqrt 2)
(+ (sqrt 2) (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* (pow t 2) (* x (sqrt 2))))))
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(+ (sqrt 2) (+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* (pow t 2) (* (pow x 3) (sqrt 2))))) (+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* (pow t 2) (* (pow x 2) (sqrt 2))))) (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* (pow t 2) (* x (sqrt 2))))))))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* (pow t 2) (* x (sqrt 2))))))
(+ (sqrt 2) (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* (pow t 2) (* x (sqrt 2))))) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* (pow t 2) (sqrt 2))))) x)))
(+ (sqrt 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* (pow t 2) (* x (sqrt 2))))) (* 1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* (pow t 2) (sqrt 2))))) x)) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* (pow t 2) (sqrt 2))))) x)))
(sqrt -1)
(+ (sqrt -1) (* -1 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (- (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (- (* x (+ (* -1/2 (/ (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) (sqrt -1))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))
(pow (sqrt -1) 2)
(- (pow (sqrt -1) 2) (/ 1 x))
(+ (* -1 (/ (+ 1 (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x))) x)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) x))) x))) x)) (pow (sqrt -1) 2))
(sqrt -1)
(+ (sqrt -1) (* -1 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (- (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (- (* x (+ (* -1/2 (/ (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) (sqrt -1))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))
(pow (sqrt -1) 2)
(- (pow (sqrt -1) 2) (/ 1 x))
(+ (* -1 (/ (+ 1 (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x))) x)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) x))) x))) x)) (pow (sqrt -1) 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2))
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2))
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2))
(* 2 (pow t 2))
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)))
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 2))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 2)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))))
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 3))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 3)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))) (* -1 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow x 2))))))
(* 2 (pow t 2))
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)))
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-1
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(/ 1 x)
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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)))))
(+ (* (* 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))))))))
(+ (* (* 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))))))))))
(* 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))))))))
(* -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)))))))))
(sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* 1/2 (* (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1/2 (/ (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* -1/2 (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))))
(* t (sqrt 2))
(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))))
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 3) (sqrt 2))))) (+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))))
(* t (sqrt 2))
(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))
(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* x (sqrt 2))))) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* x (sqrt 2))))) (* 1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (sqrt 2))))) x)) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2)))

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

rewrite335.0ms (2.3%)

Memory

30.2MiB live, 442.4MiB allocated

Rules

6 202×	`lower-*.f32`
6 186×	`lower-*.f64`
4 932×	`lower-fma.f64`
4 932×	`lower-fma.f32`
4 148×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	534
0	93	526
1	390	502
2	3120	500
0	9855	483

Stop Event

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

Counts

22 → 437

Calls

Call 1

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

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

eval193.0ms (1.3%)

Memory: 13.9MiB live, 298.8MiB allocated
Compiler: Compiled 70 797 to 3 214 computations (95.5% saved)

prune175.0ms (1.2%)

Memory

-6.9MiB live, 309.1MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 024	13	1 037
Fresh	10	5	15
Picked	3	2	5
Done	0	1	1
Total	1 037	21	1 058

Accuracy

98.7%

Counts

1 058 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(/.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 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))))
	4.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (fma.f64 x l l)) (+.f64 x #s(literal -1 binary64))) (.f64 l l)))))
▶	14.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)))))
	63.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
	4.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.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)))))))
	10.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 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)))))))
	4.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
	78.6%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) t))
	2.9%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) t))
▶	6.0%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) t))
▶	6.0%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) t))
	2.0%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64)) (fma.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 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))) t))
	20.8%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))) t))
	20.5%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 #s(literal 2 binary64) x))))) t))
✓	80.2%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
	79.6%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
▶	80.2%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
	5.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 l x l) (+.f64 x #s(literal -1 binary64))) l))))))
▶	3.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))
✓	77.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
✓	78.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 988 to 565 computations (42.8% saved)

simplify388.0ms (2.7%)

Memory

6.2MiB live, 329.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) t)
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	384	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) t))
cost-diff	1088	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
cost-diff	0	(/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) t)
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff	384	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 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) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)))))
cost-diff	128	(.f64 #s(literal 2 binary64) (.f64 l l))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))
cost-diff	0	#s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
cost-diff	128	(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))

Rules

17 402×	`lower-fma.f32`
17 398×	`lower-fma.f64`
3 568×	`lower-*.f32`
3 554×	`lower-*.f64`
1 886×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	818
0	110	786
1	215	762
2	381	754
3	835	746
4	2458	738
5	5315	738
0	8113	713

Stop Event

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

Calls

Call 1

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

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

localize169.0ms (1.2%)

Memory

-1.9MiB live, 238.5MiB allocated

Localize:

Found 20 expressions of interest:

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

Samples

105.0ms

256×

invalid

Compiler

Compiled 581 to 62 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 27.0ms (34.4% of total)

ival-div: 17.0ms (21.7% of total)

ival-sqrt: 16.0ms (20.4% of total)

ival-add: 11.0ms (14% of total)

ival-sub: 5.0ms (6.4% of total)

ival-neg: 2.0ms (2.5% of total)

exact: 1.0ms (1.3% of total)

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

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

series134.0ms (0.9%)

Memory

5.8MiB live, 118.5MiB allocated

Counts

28 → 684

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (patch (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))))) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))))) #<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 t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))) (patch #s(approx (/ (sqrt (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (.f64 l l)))))) (patch #s(approx (/ ( (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (.f64 l l))))) (patch (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ ( l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))) #<representation binary64>) () ())
#s(alt (.f64 t (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 t (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 l l)) (patch (.f64 #s(literal 2 binary64) (.f64 l l)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (patch (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) 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 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) t)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) t)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) t) (patch (/.f64 #s(approx (sqrt (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) t) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) t)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) t) (patch (/.f64 #s(approx (sqrt (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) t) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) (patch (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (.f64 l l))) (patch #s(approx (/ 1 (- (+ ( l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (.f64 l l)))) (patch (sqrt.f64 #s(approx (/ 1 (- (+ ( l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))) (patch #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)) (patch #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)) #<representation binary64>) () ())
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Outputs
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#s(alt (+ (* (* l (sqrt 2)) (sqrt (/ 1 x))) (+ (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 3)))) (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) (patch (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (/ (* l (- 2 (/ x (pow (sqrt 2) 2)))) (sqrt 2)) (sqrt (/ 1 (pow x 7))))) (+ (* (* l (sqrt 2)) (sqrt (/ 1 x))) (+ (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 3)))) (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 5))))))) (taylor inf x) (#s(alt (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) (patch (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) (patch (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x))) (* (/ (* l (sqrt -1)) (sqrt -2)) (sqrt (/ 1 (pow x 3))))) (taylor -inf x) (#s(alt (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) (patch (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x))) (+ (* (/ (* l (sqrt -1)) (sqrt -2)) (sqrt (/ 1 (pow x 3)))) (* (/ (* l (sqrt -1)) (sqrt -2)) (sqrt (/ 1 (pow x 5)))))) (taylor -inf x) (#s(alt (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) (patch (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (* (/ (* l (sqrt -1)) (sqrt -2)) (sqrt x))) (* -1/2 (* (/ (* l (* (sqrt -1) (- 2 (* -1 (/ x (pow (sqrt -2) 2)))))) (sqrt -2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x))) (* (/ (* l (sqrt -1)) (sqrt -2)) (sqrt (/ 1 (pow x 3)))))) (taylor -inf x) (#s(alt (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) (patch (.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) #<representation binary64>) () ())) ())

Calls

171 calls:

Time	Variable		Point	Expression
3.0ms	l	@	0	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
1.0ms	l	@	0	(* l (sqrt (+ (* (/ 1 (+ x -1)) (+ x 1)) -1)))
1.0ms	x	@	-inf	(* l (sqrt (+ (* (/ 1 (+ x -1)) (+ x 1)) -1)))
1.0ms	x	@	-inf	(sqrt (+ (* (/ 1 (+ x -1)) (+ x 1)) -1))
1.0ms	x	@	-inf	(sqrt (/ (* 2 (+ x 1)) (+ x -1)))

simplify600.0ms (4.1%)

Memory

14.5MiB live, 729.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 556×	`lower-*.f64`
7 556×	`lower-*.f32`
6 008×	`lower-fma.f64`
6 008×	`lower-fma.f32`
3 752×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1383	54225
1	4639	52509
0	8556	49574

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

Inputs
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 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)))))))
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))))
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))))
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))))
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))))
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
(+ (* -1/8 (* (/ (* (pow l 2) (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (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)))))
(+ (* (* (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))))))))
(+ (* (* (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))))))))))
(* (/ (* 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)
(/ (+ (* -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)
(/ (+ (* -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)
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 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))
(* -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))
(* -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))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
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(sqrt 2)
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(sqrt 2)
(+ (sqrt 2) (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* (pow t 2) (* x (sqrt 2))))))
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(* (sqrt 1/2) (sqrt 2))
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(sqrt 2)
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(sqrt 2)
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-2
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(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
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(* (/ 1 t) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))
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(* (/ l t) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
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(* (/ 1 t) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))
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(sqrt 2)
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(sqrt 2)
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(* (sqrt -1) (sqrt 2))
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(sqrt 2)
(+ (sqrt 2) (/ (sqrt 2) x))
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(* (sqrt -2) (sqrt -1))
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(/ -1/2 (pow t 2))
(- (* 1/2 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2))))
(- (* (pow l 2) (+ (* -1/2 (/ (pow l 2) (pow t 6))) (* 1/2 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))
(- (* (pow l 2) (+ (* (pow l 2) (- (* 1/2 (/ (pow l 2) (pow t 8))) (* 1/2 (/ 1 (pow t 6))))) (* 1/2 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))
(/ -1/2 (pow l 2))
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(/ (- (* -1/2 (/ (pow t 4) (pow l 4))) (+ 1/2 (* -1/2 (/ (pow t 2) (pow l 2))))) (pow l 2))
(/ (- (* 1/2 (/ (pow t 6) (pow l 6))) (+ 1/2 (+ (* -1/2 (/ (pow t 2) (pow l 2))) (* 1/2 (/ (pow t 4) (pow l 4)))))) (pow l 2))
(/ -1/2 (pow l 2))
(/ (- (* 1/2 (/ (pow t 2) (pow l 2))) 1/2) (pow l 2))
(/ (- (* -1/2 (/ (pow t 4) (pow l 4))) (+ 1/2 (* -1/2 (/ (pow t 2) (pow l 2))))) (pow l 2))
(/ (- (* 1/2 (/ (pow t 6) (pow l 6))) (+ 1/2 (+ (* -1/2 (/ (pow t 2) (pow l 2))) (* 1/2 (/ (pow t 4) (pow l 4)))))) (pow l 2))
(/ 1 (- (* -1 (pow l 2)) (pow l 2)))
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(+ (* (pow t 2) (+ (* (pow t 2) (+ (* 8 (/ (pow t 2) (pow (- (* -1 (pow l 2)) (pow l 2)) 4))) (* 4 (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 3))))) (* 2 (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 2))))) (/ 1 (- (* -1 (pow l 2)) (pow l 2))))
(/ -1/2 (pow t 2))
(/ (- (* -1/4 (/ (- (* -1 (pow l 2)) (pow l 2)) (pow t 2))) 1/2) (pow t 2))
(/ (- (* -1/8 (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow t 4))) (+ 1/2 (* 1/4 (/ (- (* -1 (pow l 2)) (pow l 2)) (pow t 2))))) (pow t 2))
(/ (- (* -1/16 (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 3) (pow t 6))) (+ 1/2 (+ (* 1/8 (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow t 4))) (* 1/4 (/ (- (* -1 (pow l 2)) (pow l 2)) (pow t 2)))))) (pow t 2))
(/ -1/2 (pow t 2))
(/ (- (* -1/4 (/ (- (* -1 (pow l 2)) (pow l 2)) (pow t 2))) 1/2) (pow t 2))
(/ (- (* -1/8 (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow t 4))) (+ 1/2 (* 1/4 (/ (- (* -1 (pow l 2)) (pow l 2)) (pow t 2))))) (pow t 2))
(/ (- (* -1/16 (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 3) (pow t 6))) (+ 1/2 (+ (* 1/8 (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow t 4))) (* 1/4 (/ (- (* -1 (pow l 2)) (pow l 2)) (pow t 2)))))) (pow t 2))
(/ (sqrt -1/2) t)
(+ (* 1/4 (/ (pow l 2) (* (pow t 3) (sqrt -1/2)))) (/ (sqrt -1/2) t))
(+ (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/2 (/ 1 (pow t 6)))))) (sqrt -1/2))) (* 1/4 (/ 1 (* (pow t 3) (sqrt -1/2)))))) (/ (sqrt -1/2) t))
(+ (* (pow l 2) (+ (* (pow l 2) (+ (* -1/2 (/ (* t (+ (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/2 (/ 1 (pow t 6))))) (sqrt -1/2))) (* 1/2 (/ (* (pow l 2) (* t (- (* 1/2 (/ 1 (pow t 8))) (* -1/4 (/ (+ (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/2 (/ 1 (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2))))))) (sqrt -1/2))))) (* 1/4 (/ 1 (* (pow t 3) (sqrt -1/2)))))) (/ (sqrt -1/2) t))
(/ (sqrt -1/2) l)
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(/ (+ (sqrt -1/2) (+ (* -1/2 (/ (+ (* 1/16 (/ (pow t 4) (pow (sqrt -1/2) 2))) (* 1/2 (pow t 4))) (* (pow l 4) (sqrt -1/2)))) (* 1/4 (/ (pow t 2) (* (pow l 2) (sqrt -1/2)))))) l)
(/ (+ (sqrt -1/2) (+ (* -1/2 (/ (+ (* -1/2 (pow t 6)) (* -1/4 (/ (* (pow t 2) (+ (* 1/16 (/ (pow t 4) (pow (sqrt -1/2) 2))) (* 1/2 (pow t 4)))) (pow (sqrt -1/2) 2)))) (* (pow l 6) (sqrt -1/2)))) (+ (* -1/2 (/ (+ (* 1/16 (/ (pow t 4) (pow (sqrt -1/2) 2))) (* 1/2 (pow t 4))) (* (pow l 4) (sqrt -1/2)))) (* 1/4 (/ (pow t 2) (* (pow l 2) (sqrt -1/2))))))) l)
(* -1 (/ (sqrt -1/2) l))
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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))))))))
(+ (* (* 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))))))))))
(* 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))))))))
(* -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)))))))))
(sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* 1/2 (* (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1/2 (/ (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* -1/2 (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))))
(* t (sqrt 2))
(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))))
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 3) (sqrt 2))))) (+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))))
(* t (sqrt 2))
(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))
(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* x (sqrt 2))))) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* x (sqrt 2))))) (* 1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (sqrt 2))))) x)) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2)))
(sqrt -2)
(+ (sqrt -2) (* -1 (/ x (sqrt -2))))
(+ (sqrt -2) (* x (- (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -2) 2)))) (sqrt -2))) (/ 1 (sqrt -2)))))
(+ (sqrt -2) (* x (- (* x (+ (* -1/2 (/ (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -2) 2))) (/ 1 (pow (sqrt -2) 4))))) (sqrt -2))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -2) 2))) (sqrt -2))))) (/ 1 (sqrt -2)))))
(* (sqrt (/ 1 x)) (sqrt 2))
(+ (* (sqrt (/ 1 x)) (sqrt 2)) (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 2))))
(+ (* (sqrt (/ 1 x)) (sqrt 2)) (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 2))) (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 2)))))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 2 (/ x (pow (sqrt 2) 2))) (sqrt 2)))) (+ (* (sqrt (/ 1 x)) (sqrt 2)) (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 2))) (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt 2))))))
(* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))
(+ (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))) (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -2))))
(+ (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -2))) (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt -2)))))
(+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ (sqrt -1) (sqrt -2)))) (* -1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (- 2 (* -1 (/ x (pow (sqrt -2) 2))))) (sqrt -2))))) (pow x 3))) (+ (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))) (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt -2)))))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt -2))
(+ (* -1 (/ (* l x) (sqrt -2))) (* l (sqrt -2)))
(+ (* l (sqrt -2)) (* x (+ (* -1 (/ l (sqrt -2))) (* -1/2 (/ (* l (* x (+ 2 (/ 1 (pow (sqrt -2) 2))))) (sqrt -2))))))
(+ (* l (sqrt -2)) (* x (+ (* -1 (/ l (sqrt -2))) (* x (+ (* -1/2 (/ (* l (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -2) 2))) (/ 1 (pow (sqrt -2) 4)))))) (sqrt -2))) (* -1/2 (/ (* l (+ 2 (/ 1 (pow (sqrt -2) 2)))) (sqrt -2))))))))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(+ (* (* l (sqrt 2)) (sqrt (/ 1 x))) (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 3)))))
(+ (* (* l (sqrt 2)) (sqrt (/ 1 x))) (+ (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 3)))) (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 5))))))
(+ (* 1/2 (* (/ (* l (- 2 (/ x (pow (sqrt 2) 2)))) (sqrt 2)) (sqrt (/ 1 (pow x 7))))) (+ (* (* l (sqrt 2)) (sqrt (/ 1 x))) (+ (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 3)))) (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 5)))))))
(* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x)))
(+ (* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x))) (* (/ (* l (sqrt -1)) (sqrt -2)) (sqrt (/ 1 (pow x 3)))))
(+ (* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x))) (+ (* (/ (* l (sqrt -1)) (sqrt -2)) (sqrt (/ 1 (pow x 3)))) (* (/ (* l (sqrt -1)) (sqrt -2)) (sqrt (/ 1 (pow x 5))))))
(+ (* -1 (/ (+ (* -1 (* (/ (* l (sqrt -1)) (sqrt -2)) (sqrt x))) (* -1/2 (* (/ (* l (* (sqrt -1) (- 2 (* -1 (/ x (pow (sqrt -2) 2)))))) (sqrt -2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x))) (* (/ (* l (sqrt -1)) (sqrt -2)) (sqrt (/ 1 (pow x 3))))))

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

rewrite621.0ms (4.3%)

Memory

-140.9MiB live, 696.0MiB allocated

Rules

7 080×	`lower-*.f32`
7 066×	`lower-*.f64`
6 032×	`lower-fma.f32`
6 028×	`lower-fma.f64`
4 548×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	727
0	110	683
1	479	669
2	3838	667
0	11369	647

Stop Event

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

Counts

28 → 545

Calls

Call 1

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

Outputs
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
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eval300.0ms (2.1%)

Memory: 43.1MiB live, 299.2MiB allocated
Compiler: Compiled 88 292 to 3 014 computations (96.6% saved)

prune210.0ms (1.4%)

Memory

0.4MiB live, 370.0MiB allocated

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	1 246	11	1 257
Fresh	2	11	13
Picked	2	3	5
Done	0	3	3
Total	1 250	28	1 278

Accuracy

98.8%

Counts

1 278 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (fma.f64 x l l)) (+.f64 x #s(literal -1 binary64))) (.f64 l l)))))
✓	14.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)))))
	63.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
	4.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.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)))))))
	10.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 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)))))))
	4.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
	78.6%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) t))
	2.9%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) t))
✓	6.0%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) t))
✓	6.0%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) t))
	1.5%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.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 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) t))
	20.8%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))) t))
	20.5%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 #s(literal 2 binary64) x))))) t))
	20.8%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l #s(approx (sqrt (+ ( (/ 1 (+ x -1)) (+ x 1)) -1)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 #s(literal 2 binary64))))))) t))
	20.5%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l #s(approx (sqrt (+ ( (/ 1 (+ x -1)) (+ x 1)) -1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) t))
	20.5%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) #s(approx (* l (sqrt (+ (* (/ 1 (+ x -1)) (+ x 1)) -1))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l)))) t))
	42.9%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
✓	80.2%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
	79.6%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
	80.2%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
	14.3%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))) #s(literal 2 binary64))) t))
	14.3%	(.f64 (/.f64 t (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (sqrt.f64 #s(literal 2 binary64)))
	14.3%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
	5.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 l x l) (+.f64 x #s(literal -1 binary64))) l))))))
	14.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))))
	3.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))) t))
✓	77.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
✓	78.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 1 997 to 674 computations (66.2% saved)

regimes107.0ms (0.7%)

Memory

-7.8MiB live, 151.1MiB allocated

Counts

59 → 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 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))) 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 t (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 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 l x l) (+.f64 x #s(literal -1 binary64))) l))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 t (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (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)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 #s(literal 2 binary64) 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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 (+.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 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))) #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 #s(literal 2 binary64) x #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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.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) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (fma.f64 x l l)) (+.f64 x #s(literal -1 binary64))) (.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 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 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) #s(approx (* l (sqrt (+ (* (/ 1 (+ x -1)) (+ x 1)) -1))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l #s(approx (sqrt (+ ( (/ 1 (+ x -1)) (+ x 1)) -1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.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)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.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)))) (/.f64 l t))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.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)))))) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.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 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #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))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.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 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l #s(approx (sqrt (+ ( (/ 1 (+ x -1)) (+ x 1)) -1)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (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)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (.f64 l (fma.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 (fma.f64 t x t) (.f64 (*.f64 l l) (+.f64 x #s(literal -1 binary64)))) (/.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)))) 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 t (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64)) (fma.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 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #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 t (fma.f64 (/.f64 (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (.f64 l l)) (.f64 t (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (-.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (.f64 t (.f64 t t))) (.f64 (.f64 l l) (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))))) 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))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))

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

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

Calls

6 calls:

20.0ms	(*.f64 l l)
19.0ms	x
19.0ms	t
16.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
15.0ms	l

Results

Accuracy	Segments	Branch
80.2%	1	`x`
84.1%	2	`l`
88.5%	3	`t`
80.2%	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))))`
80.2%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
80.2%	1	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes21.0ms (0.1%)

Memory

-14.7MiB live, 29.8MiB allocated

Counts

53 → 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 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))) 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 t (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 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 l x l) (+.f64 x #s(literal -1 binary64))) l))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 t (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (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)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 #s(literal 2 binary64) 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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 (+.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 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))) #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 #s(literal 2 binary64) x #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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.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) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (fma.f64 x l l)) (+.f64 x #s(literal -1 binary64))) (.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 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 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) #s(approx (* l (sqrt (+ (* (/ 1 (+ x -1)) (+ x 1)) -1))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l #s(approx (sqrt (+ ( (/ 1 (+ x -1)) (+ x 1)) -1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.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)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.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)))) (/.f64 l t))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.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)))))) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.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 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #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))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.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 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l #s(approx (sqrt (+ ( (/ 1 (+ x -1)) (+ x 1)) -1)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 #s(literal 2 binary64))))))) t))

Outputs

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

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
88.4%	3	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.1%)

Memory

-8.6MiB live, 29.1MiB allocated

Counts

50 → 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 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))) 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 t (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 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 l x l) (+.f64 x #s(literal -1 binary64))) l))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 t (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (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)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 #s(literal 2 binary64) 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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 (+.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 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))) #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 #s(literal 2 binary64) x #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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.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) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (fma.f64 x l l)) (+.f64 x #s(literal -1 binary64))) (.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 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 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) #s(approx (* l (sqrt (+ (* (/ 1 (+ x -1)) (+ x 1)) -1))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l #s(approx (sqrt (+ ( (/ 1 (+ x -1)) (+ x 1)) -1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.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)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.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)))) (/.f64 l t))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.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)))))) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.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 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #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))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l)))))

Outputs

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
84.6%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes31.0ms (0.2%)

Memory

9.8MiB live, 47.5MiB allocated

Counts

47 → 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 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))) 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 t (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 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 l x l) (+.f64 x #s(literal -1 binary64))) l))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 t (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (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)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 #s(literal 2 binary64) 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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 (+.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 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))) #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 #s(literal 2 binary64) x #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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.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) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (fma.f64 x l l)) (+.f64 x #s(literal -1 binary64))) (.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 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 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) #s(approx (* l (sqrt (+ (* (/ 1 (+ x -1)) (+ x 1)) -1))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (.f64 l #s(approx (sqrt (+ ( (/ 1 (+ x -1)) (+ x 1)) -1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.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)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.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)))) (/.f64 l t))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.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)))))) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.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 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))) t))

Outputs

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

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

Calls

2 calls:

16.0ms	l
13.0ms	t

Results

Accuracy	Segments	Branch
84.1%	2	`l`
83.5%	2	`t`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

29 → 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 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))) 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 t (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 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 l x l) (+.f64 x #s(literal -1 binary64))) l))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 t (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (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)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 #s(literal 2 binary64) 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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 (+.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 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))) #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 #s(literal 2 binary64) x #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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.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) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (fma.f64 x l l)) (+.f64 x #s(literal -1 binary64))) (.f64 l l)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) #s(literal -1 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 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
84.1%	2	`l`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-24.9MiB live, 13.0MiB allocated

Counts

20 → 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 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))) 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 t (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 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 l x l) (+.f64 x #s(literal -1 binary64))) l))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 t (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (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)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 #s(literal 2 binary64) 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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 (+.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 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
84.1%	2	`l`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

14 → 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 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))) 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 t (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 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 l x l) (+.f64 x #s(literal -1 binary64))) l))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 t (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (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)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)))))

Outputs

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

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

Calls

2 calls:

4.0ms	t
4.0ms	l

Results

Accuracy	Segments	Branch
82.0%	2	`t`
80.2%	1	`l`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

12 → 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 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))) 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 t (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 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) t))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 l x l) (+.f64 x #s(literal -1 binary64))) l))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
81.9%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes21.0ms (0.1%)

Memory

-11.1MiB live, 33.7MiB allocated

Counts

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

Outputs

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

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

Calls

6 calls:

6.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
3.0ms	l
3.0ms	t
3.0ms	x
3.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
79.6%	1	`l`
79.6%	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))))`
79.6%	1	`(*.f64 l l)`
79.6%	1	`x`
79.6%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
81.4%	2	`t`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes18.0ms (0.1%)

Memory

0.7MiB live, 39.3MiB allocated

Counts

7 → 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 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))) 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 t (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 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) t))

Outputs

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

Calls

6 calls:

4.0ms	l
3.0ms	x
3.0ms	t
2.0ms	(*.f64 l l)
2.0ms	(/.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
78.7%	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))))`
78.7%	1	`(*.f64 l l)`
78.7%	1	`l`
78.7%	1	`x`
78.7%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
80.4%	2	`t`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes4.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Accuracy

Total -50.0b remaining (-366.9%)

Threshold costs -50b (-366.9%)

Counts

5 → 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 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))) 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 t (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 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))

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

Calls

2 calls:

2.0ms	t
2.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
78.7%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
78.7%	1	`t`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch76.0ms (0.5%)

Memory

-12.7MiB live, 115.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	8.981039756948177e-29	5.3730882008703454e-24
39.0ms	2.800118507901115e-171	5.304991351862023e-163

Samples

33.0ms	126×	1	valid
13.0ms	137×	0	valid
6.0ms	36×	1	invalid
2.0ms	9×	2	valid
1.0ms	4×	2	invalid
1.0ms	6×	0	invalid

Compiler

Compiled 1 383 to 680 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-sqrt: 12.0ms (25.9% of total)

ival-mult: 10.0ms (21.6% of total)

adjust: 8.0ms (17.3% of total)

ival-add: 7.0ms (15.1% of total)

ival-div: 5.0ms (10.8% of total)

ival-sub: 4.0ms (8.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Memory

-18.9MiB live, 55.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.981039756948177e-29	5.3730882008703454e-24
37.0ms	1.5737052702979484e-150	4.917426405263827e-143

Samples

13.0ms	74×	1	valid
7.0ms	11×	2	valid
6.0ms	59×	0	valid
4.0ms	24×	1	invalid
0.0ms	5×	0	invalid

Compiler

Compiled 1 128 to 595 computations (47.3% saved)

Precisions

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

ival-sqrt: 7.0ms (28.6% of total)

ival-mult: 5.0ms (20.4% of total)

ival-sub: 3.0ms (12.3% of total)

ival-div: 3.0ms (12.3% of total)

adjust: 3.0ms (12.3% of total)

ival-add: 3.0ms (12.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch6.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	8.290779855426573e+25	1.5922563968499521e+27

Samples

3.0ms	29×	0	valid
1.0ms	3×	1	valid
0.0ms	2×	1	invalid
0.0ms	1×	0	invalid

Compiler

Compiled 137 to 86 computations (37.2% saved)

Precisions

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

ival-mult: 1.0ms (35.5% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory

-2.5MiB live, 34.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.4819517696557246e+182	7.600376554650745e+182

Samples

11.0ms	54×	1	valid
3.0ms	26×	0	valid
3.0ms	14×	1	invalid

Compiler

Compiled 233 to 159 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 3.0ms (22.5% of total)

ival-sub: 3.0ms (22.5% of total)

adjust: 2.0ms (15% of total)

ival-div: 2.0ms (15% of total)

ival-add: 2.0ms (15% of total)

ival-sqrt: 2.0ms (15% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4819517696557246e+182	7.600376554650745e+182

Compiler

Compiled 213 to 149 computations (30% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4819517696557246e+182	7.600376554650745e+182

Compiler

Compiled 203 to 139 computations (31.5% saved)

bsearch10.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.002692673225813e-232	2.3185662139819073e-232

Samples

3.0ms	16×	1	valid
2.0ms	10×	1	invalid
1.0ms	6×	2	valid
1.0ms	10×	0	valid

Compiler

Compiled 105 to 72 computations (31.4% saved)

Precisions

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

ival-sub: 1.0ms (17.9% of total)

ival-add: 1.0ms (17.9% of total)

adjust: 1.0ms (17.9% of total)

ival-div: 1.0ms (17.9% of total)

ival-mult: 1.0ms (17.9% of total)

ival-sqrt: 1.0ms (17.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.002692673225813e-232	2.3185662139819073e-232

Compiler

Compiled 103 to 70 computations (32% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.002692673225813e-232	2.3185662139819073e-232

Compiler

Compiled 103 to 68 computations (34% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.002692673225813e-232	2.3185662139819073e-232

Compiler

Compiled 81 to 56 computations (30.9% saved)

simplify73.0ms (0.5%)

Memory

-17.0MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Rules

568×	`distribute-lft-neg-in_binary64`
318×	`unsub-neg_binary64`
298×	`neg-mul-1_binary64`
274×	`neg-sub0_binary64`
230×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1096
1	169	1096
2	184	1096
3	199	1095
4	225	1095
5	273	1095
6	316	1095
7	384	1095
8	492	1095
9	634	1095
10	786	1095
11	892	1095
12	1013	1095
13	1168	1095
14	1363	1095
15	1553	1095
16	1702	1095
17	1763	1095
18	1774	1095
19	1774	1095

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 8266613047380103/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (/.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 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (if (<=.f64 t #s(literal 110591769249305/21267647932558653966460912964485513216 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 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x)))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
(if (<=.f64 t #s(literal 2948408144391829/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) (/.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 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (if (<=.f64 t #s(literal 110591769249305/21267647932558653966460912964485513216 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 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
(if (<=.f64 t #s(literal 100000000000000004764729344 binary64)) (/.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 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(if (<=.f64 l #s(literal 480000000000000019181342811507113160585353545981047730779833783795755546084452687202527740492732512598751821206513235497833863045305972131268306529034421403039076130118091203449716736 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))) t)))
(if (<=.f64 l #s(literal 480000000000000019181342811507113160585353545981047730779833783795755546084452687202527740492732512598751821206513235497833863045305972131268306529034421403039076130118091203449716736 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (+ x -1)) (+ (/ x (+ x -1)) -1)) (/.f64 #s(literal 2 binary64) x))))) t)))
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#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Outputs
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(if (<=.f64 t #s(literal 5733374319616569/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (.f64 (/.f64 t (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))
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(if (<=.f64 t #s(literal 5733374319616569/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))
(if (<=.f64 t #s(literal 5733374319616569/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 t #s(literal 5733374319616569/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ (sqrt (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))))
(if (<=.f64 t #s(literal 5733374319616569/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (.f64 #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(literal 1 binary64)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

soundness1.6s (10.7%)

Memory

21.2MiB live, 1 333.0MiB allocated

Rules

13 380×	`lower-fma.f64`
13 380×	`lower-fma.f32`
10 416×	`lower-fma.f64`
10 416×	`lower-fma.f32`
9 668×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	375
0	94	363
1	380	352
2	2671	350
0	8976	350
0	1036	47418
1	3522	41167
0	8477	39440
0	18	85
0	31	85
1	116	85
2	928	84
0	8797	80
0	1461	46448
1	5202	45064
0	8930	42101
0	76	727
0	110	683
1	479	669
2	3838	667
0	11369	647
0	64	534
0	93	526
1	390	502
2	3120	500
0	9855	483
0	676	10349
1	2332	9162
0	8701	8754

Stop Event

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

Compiler

Compiled 1 706 to 757 computations (55.6% saved)

preprocess125.0ms (0.9%)

Memory: 6.1MiB live, 277.8MiB allocated
Remove: (abs l)
Compiler: Compiled 1 580 to 464 computations (70.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze318.0ms (2.2%)

sample3.4s (23.5%)

explain332.0ms (2.3%)

preprocess521.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify569.0ms (3.9%)

localize76.0ms (0.5%)

series189.0ms (1.3%)

simplify511.0ms (3.5%)

rewrite319.0ms (2.2%)

eval82.0ms (0.6%)

prune106.0ms (0.7%)

simplify255.0ms (1.8%)

localize244.0ms (1.7%)

series275.0ms (1.9%)

simplify421.0ms (2.9%)

rewrite272.0ms (1.9%)

eval153.0ms (1.1%)

prune170.0ms (1.2%)

simplify207.0ms (1.4%)

localize212.0ms (1.5%)

series70.0ms (0.5%)

simplify483.0ms (3.3%)

rewrite335.0ms (2.3%)

eval193.0ms (1.3%)

prune175.0ms (1.2%)

simplify388.0ms (2.7%)

localize169.0ms (1.2%)

series134.0ms (0.9%)

simplify600.0ms (4.1%)

rewrite621.0ms (4.3%)

eval300.0ms (2.1%)

prune210.0ms (1.4%)

regimes107.0ms (0.7%)

regimes21.0ms (0.1%)

regimes20.0ms (0.1%)

regimes31.0ms (0.2%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

regimes21.0ms (0.1%)

regimes18.0ms (0.1%)

regimes4.0ms (0%)

bsearch76.0ms (0.5%)

bsearch44.0ms (0.3%)

bsearch6.0ms (0%)

bsearch23.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify73.0ms (0.5%)

soundness1.6s (10.7%)

preprocess125.0ms (0.9%)

end0.0ms (0%)

Profiling