Metrics for Toniolo and Linder, Equation (7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze384.0ms (2.8%)

Memory

42.2MiB live, 631.1MiB 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)

sample3.3s (23.8%)

Memory

-66.1MiB live, 3 498.7MiB allocated

Samples

713.0ms	2 816×	1	valid
644.0ms	5 259×	0	valid
428.0ms	1 638×	1	invalid
354.0ms	2 691×	0	invalid
48.0ms	181×	2	valid
22.0ms	88×	2	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 431.0ms (26.2% of total)

ival-sqrt: 276.0ms (16.8% of total)

ival-div: 254.0ms (15.5% of total)

adjust: 244.0ms (14.9% of total)

ival-sub: 213.0ms (13% of total)

ival-add: 201.0ms (12.2% of total)

exact: 12.0ms (0.7% of total)

ival-true: 8.0ms (0.5% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain408.0ms (2.9%)

Memory

19.7MiB live, 377.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
110	-	2	(1.3112813932635994e+210 2.08376293314154e-52 3.952250794737553e-307)	`(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)))`
98	-	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))`
1	-	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 (+.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 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	84	0
↳	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	overflow	85
↳	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`	overflow	105
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	70
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	105
↳	`(*.f64 t t)`	overflow	70
↳	`(*.f64 l l)`	overflow	90
↳	`(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)))`	overflow	1
`-.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	53	0
`-.f64`	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	nan-rescue	45	0
↳	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`	overflow	105
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	70
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	105
↳	`(*.f64 t t)`	overflow	70
↳	`(*.f64 l l)`	overflow	45
↳	`(*.f64 l l)`	overflow	45
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`	uflow-rescue	24	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	24
↳	`(.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	21
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	49
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	21
↳	`(*.f64 t t)`	underflow	49
↳	`(*.f64 l l)`	underflow	144
`/.f64`	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`	o/o	1	0
↳	`(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)`	overflow	1
↳	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	overflow	85
↳	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`	overflow	105
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	70
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	105
↳	`(*.f64 t t)`	overflow	70
↳	`(*.f64 l l)`	overflow	90
↳	`(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)))`	overflow	1

Confusion

	Predicted +	Predicted -
+	182	0
-	0	74

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	182	0	0
-	0	0	74

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	74
1	157
2	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

66.0ms	308×	0	valid
40.0ms	194×	1	valid
24.0ms	10×	2	valid

Compiler

Compiled 296 to 58 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-div: 37.0ms (45.2% of total)

ival-mult: 16.0ms (19.6% of total)

ival-sqrt: 8.0ms (9.8% of total)

ival-add: 7.0ms (8.6% of total)

ival-sub: 6.0ms (7.3% of total)

adjust: 6.0ms (7.3% of total)

exact: 1.0ms (1.2% of total)

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

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

preprocess311.0ms (2.2%)

Memory

-7.0MiB live, 237.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs l)

(negabs t)

Compiler

Compiled 30 to 18 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Status

Accuracy

Program

▶

31.2%

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

Compiler

Compiled 30 to 18 computations (40% saved)

simplify199.0ms (1.4%)

Memory

5.1MiB live, 231.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize58.0ms (0.4%)

Memory

5.8MiB live, 90.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3515652510508252	(/.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	0.3984375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	21.52832221418243	(-.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	25.332080298199152	(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

28.0ms	97×	1	valid
17.0ms	154×	0	valid
1.0ms	5×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sqrt: 9.0ms (30.2% of total)

ival-mult: 7.0ms (23.5% of total)

ival-div: 4.0ms (13.4% of total)

ival-sub: 3.0ms (10.1% of total)

adjust: 3.0ms (10.1% of total)

ival-add: 3.0ms (10.1% of total)

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

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

exact: 0.0ms (0% of total)

series129.0ms (0.9%)

Memory

-39.5MiB live, 136.3MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	t	@	inf	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
9.0ms	x	@	0	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
8.0ms	l	@	inf	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
7.0ms	l	@	0	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
6.0ms	x	@	-inf	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))

simplify195.0ms (1.4%)

Memory

1.4MiB live, 283.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	676	10349
1	2332	9162
0	8700	8754

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite202.0ms (1.5%)

Memory

11.2MiB live, 278.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 417

Calls

Call 1

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

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

eval151.0ms (1.1%)

Memory: 1.5MiB live, 169.8MiB allocated
Compiler: Compiled 33 915 to 2 339 computations (93.1% saved)

prune167.0ms (1.2%)

Memory

17.8MiB live, 180.3MiB allocated

Pruning

26 alts after pruning (26 fresh and 0 done)

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

Accuracy

90.2%

Counts

562 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 x x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 l) l))))
	27.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l))))
	8.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (.f64 (neg.f64 l) l))))
▶	30.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64)) (.f64 (neg.f64 l) l)))))
	31.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))))
	8.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 l) l))))
	26.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (.f64 l l))))
	55.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 #s(literal 2 binary64) t) t (/.f64 (fma.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal -2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (.f64 l l) x))) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)) (neg.f64 x))) (neg.f64 x))))))
	55.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (*.f64 l l) x))) (neg.f64 x))))))
	55.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
	53.1%	(/.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 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (/.f64 (.f64 l l) x)))) (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 x x)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))))))
	3.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))))
	3.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 l l)))))
	40.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t t) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
	52.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
▶	73.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	4.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
	72.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
	37.6%	(.f64 (/.f64 t (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))) (sqrt.f64 #s(literal 2 binary64)))
	37.7%	(.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
	37.7%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
▶	37.7%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
	72.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	7.0%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
▶	4.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
▶	71.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 1 694 to 942 computations (44.4% saved)

simplify360.0ms (2.6%)

Memory

-12.4MiB live, 185.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64)) (.f64 (neg.f64 l) l)))))
cost-diff	128	(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l))
cost-diff	128	(*.f64 (-.f64 x #s(literal -1 binary64)) l)
cost-diff	1472	(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
cost-diff	896	(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l))))
cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))
cost-diff	0	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))

Rules

14 444×	`lower-fma.f32`
14 436×	`lower-fma.f64`
3 062×	`lower-*.f32`
3 038×	`lower-*.f64`
1 926×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	635
0	103	621
1	193	621
2	396	581
3	957	581
4	3153	581
5	7987	581
0	8161	578

Stop Event

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

Calls

Call 1

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

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

localize268.0ms (1.9%)

Memory

-1.3MiB live, 478.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.20703125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	0.8984333716604117	(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l))
accuracy	14.671383288456234	(sqrt.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l))))
accuracy	16.726908910050838	(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))
accuracy	0.20703125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	1.4296564298624836	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
accuracy	20.689354906181837	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
accuracy	35.26302096607894	(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	0.125	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
accuracy	0.18166243682843375	(/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))
accuracy	12.645873601739453	(fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l))))
accuracy	15.11131379066183	(sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	0.6015625	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	16.480623029362246	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.0078125	(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	0.1015625	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
accuracy	0.20703125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	16.280404582072308	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))

Samples

65.0ms	84×	1	valid
62.0ms	63×	2	valid
46.0ms	62×	1	invalid
36.0ms	34×	2	invalid
2.0ms	7×	0	valid
2.0ms	6×	0	invalid

Compiler

Compiled 596 to 57 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-mult: 34.0ms (22.2% of total)

ival-div: 33.0ms (21.5% of total)

adjust: 32.0ms (20.9% of total)

ival-sqrt: 21.0ms (13.7% of total)

ival-add: 19.0ms (12.4% of total)

ival-sub: 13.0ms (8.5% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series190.0ms (1.4%)

Memory

1.7MiB live, 361.8MiB allocated

Counts

21 → 540

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))))) (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (+ (* (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l))) (* (- x -1) l) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l)) (/ (* (sqrt 2) t) (sqrt (+ (* (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l))))) (sqrt (/ (- x -1) (- x 1))) (sqrt (+ (* (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l)))))
21.0ms	x	@	-inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))))) (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (+ (* (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l))) (* (- x -1) l) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l)) (/ (* (sqrt 2) t) (sqrt (+ (* (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l))))) (sqrt (/ (- x -1) (- x 1))) (sqrt (+ (* (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l)))))
20.0ms	l	@	inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))))) (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (+ (* (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l))) (* (- x -1) l) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l)) (/ (* (sqrt 2) t) (sqrt (+ (* (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l))))) (sqrt (/ (- x -1) (- x 1))) (sqrt (+ (* (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l)))))
19.0ms	x	@	0	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))))) (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (+ (* (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l))) (* (- x -1) l) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l)) (/ (* (sqrt 2) t) (sqrt (+ (* (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l))))) (sqrt (/ (- x -1) (- x 1))) (sqrt (+ (* (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l)))))
14.0ms	l	@	0	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))))) (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (+ (* (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l))) (* (- x -1) l) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l)) (/ (* (sqrt 2) t) (sqrt (+ (* (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l))))) (sqrt (/ (- x -1) (- x 1))) (sqrt (+ (* (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l)))))

simplify390.0ms (2.8%)

Memory

24.1MiB live, 692.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 744×	`lower-*.f64`
6 744×	`lower-*.f32`
3 946×	`lower-fma.f64`
3 946×	`lower-fma.f32`
3 750×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2096	51657
1	6302	50245
0	8133	48103

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 539

Calls

Call 1

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

rewrite391.0ms (2.8%)

Memory

5.0MiB live, 677.9MiB allocated

Rules

7 054×	`lower-*.f32`
7 032×	`lower-*.f64`
6 064×	`lower-fma.f32`
6 056×	`lower-fma.f64`
4 736×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	443
0	103	410
1	414	375
2	3832	375
0	11763	375

Stop Event

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

Counts

21 → 1 047

Calls

Call 1

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

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

eval299.0ms (2.2%)

Memory: -9.6MiB live, 651.9MiB allocated
Compiler: Compiled 151 700 to 6 292 computations (95.9% saved)

prune288.0ms (2.1%)

Memory

9.9MiB live, 530.5MiB allocated

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	1 626	30	1 656
Fresh	18	3	21
Picked	4	1	5
Done	0	0	0
Total	1 648	34	1 682

Accuracy

99.1%

Counts

1 682 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.8%	(/.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	55.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
	53.1%	(/.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 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (/.f64 (.f64 l l) x)))) (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 x x)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))))))
	52.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	72.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 #s(approx (sqrt (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
▶	12.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 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)))))))
	4.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l)))) (*.f64 l (sqrt.f64 (-.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))))
▶	72.8%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))) (sqrt.f64 #s(literal 2 binary64)))
	8.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal -1 binary64))) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (.f64 (neg.f64 l) l)))))
	27.2%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l)))))
	39.6%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) (-.f64 (-.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l)) (/.f64 (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (fma.f64 l l (.f64 #s(literal 2 binary64) (*.f64 t t)))) x))))))
	7.0%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))))))
	3.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) (.f64 (.f64 l l) (-.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))))
	5.8%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 (-.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))))) (.f64 (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)) (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))))))))
	28.1%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 t t) (+.f64 x #s(literal 1 binary64))))))))
	4.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
	4.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64))) t) l))
	4.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))))
	72.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
	7.1%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
	1.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
	25.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
	25.0%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
	25.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
	25.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
▶	4.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 t l)))
✓	71.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	24.9%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
▶	25.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
	25.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 x (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
	26.9%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
	19.8%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (.f64 x (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 l (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 l (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
	19.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (.f64 x (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (/.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
▶	72.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 2 033 to 1 168 computations (42.5% saved)

simplify148.0ms (1.1%)

Memory

23.8MiB live, 181.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
cost-diff	0	(.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
cost-diff	320	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (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)) 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 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)))))))
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	(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 t l))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 t l)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))
cost-diff	0	(/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t)))
cost-diff	0	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Rules

12 770×	`lower-fma.f32`
12 768×	`lower-fma.f64`
3 412×	`lower-*.f32`
3 386×	`lower-*.f64`
2 140×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	777
0	111	765
1	190	731
2	340	731
3	581	731
4	968	703
5	1766	703
6	3907	703
7	7471	703
0	8093	689

Stop Event

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

Calls

Call 1

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

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

localize301.0ms (2.2%)

Memory

-7.6MiB live, 268.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.6015625	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	1.4296564298624836	(.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
accuracy	10.246609155150214	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
accuracy	20.689354906181837	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
accuracy	0.16015625	(*.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	0.20703125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	20.74090948508072	#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))))))
accuracy	35.28478192736888	(-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.10546875	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy	1.4379249625072303	(.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 t l))
accuracy	20.689354906181837	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 t l)))
accuracy	35.264797459626	(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	16.480623029362246	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
accuracy	0.19921875	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t)
accuracy	0.20703125	(/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t)))
accuracy	0.4186325195368841	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	16.280404582072308	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))

Samples

76.0ms	84×	1	valid
65.0ms	63×	2	valid
37.0ms	102×	0	invalid
3.0ms	7×	0	valid

Compiler

Compiled 588 to 62 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-mult: 33.0ms (26.9% of total)

ival-div: 29.0ms (23.6% of total)

ival-sqrt: 22.0ms (17.9% of total)

adjust: 15.0ms (12.2% of total)

ival-sub: 13.0ms (10.6% of total)

ival-add: 10.0ms (8.1% of total)

exact: 1.0ms (0.8% of total)

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

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

series162.0ms (1.2%)

Memory

7.2MiB live, 120.1MiB allocated

Counts

25 → 540

Calls

Call 1

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

9 calls:

Time	Variable		Point	Expression
28.0ms	l	@	inf	((* 2 (/ (- -1 x) (- 1 x))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (/ t l)) (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (* (sqrt (/ 1 (* (* x x) x))) (/ 1 (sqrt 1/2))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (* (sqrt (* 2 (/ (- -1 x) (- 1 x)))) t) (- (/ (- -1 x) (- 1 x)) 1) (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) (- (/ x (- x 1)) 1) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (sqrt 1/2)))
27.0ms	t	@	-inf	((* 2 (/ (- -1 x) (- 1 x))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (/ t l)) (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (* (sqrt (/ 1 (* (* x x) x))) (/ 1 (sqrt 1/2))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (* (sqrt (* 2 (/ (- -1 x) (- 1 x)))) t) (- (/ (- -1 x) (- 1 x)) 1) (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) (- (/ x (- x 1)) 1) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (sqrt 1/2)))
23.0ms	x	@	-inf	((* 2 (/ (- -1 x) (- 1 x))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (/ t l)) (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (* (sqrt (/ 1 (* (* x x) x))) (/ 1 (sqrt 1/2))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (* (sqrt (* 2 (/ (- -1 x) (- 1 x)))) t) (- (/ (- -1 x) (- 1 x)) 1) (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) (- (/ x (- x 1)) 1) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (sqrt 1/2)))
7.0ms	x	@	0	((* 2 (/ (- -1 x) (- 1 x))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (/ t l)) (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (* (sqrt (/ 1 (* (* x x) x))) (/ 1 (sqrt 1/2))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (* (sqrt (* 2 (/ (- -1 x) (- 1 x)))) t) (- (/ (- -1 x) (- 1 x)) 1) (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) (- (/ x (- x 1)) 1) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (sqrt 1/2)))
6.0ms	x	@	inf	((* 2 (/ (- -1 x) (- 1 x))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (/ t l)) (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (* (sqrt (/ 1 (* (* x x) x))) (/ 1 (sqrt 1/2))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (* (sqrt (* 2 (/ (- -1 x) (- 1 x)))) t) (- (/ (- -1 x) (- 1 x)) 1) (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) (- (/ x (- x 1)) 1) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (sqrt 1/2)))

simplify469.0ms (3.4%)

Memory

-13.3MiB live, 313.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 926×	`lower-*.f64`
8 926×	`lower-*.f32`
6 534×	`lower-fma.f64`
6 534×	`lower-fma.f32`
4 670×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1225	45489
1	4199	44282
0	9013	41958

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 538

Calls

Call 1

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

rewrite311.0ms (2.2%)

Memory

22.0MiB live, 218.6MiB allocated

Rules

4 330×	`lower-/.f32`
4 308×	`lower-/.f64`
3 542×	`lower-*.f32`
3 516×	`lower-*.f64`
3 006×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	588
0	111	566
1	413	510
2	3493	506
0	9300	495

Stop Event

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

Counts

25 → 664

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(.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 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(.f64 t (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t)))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t)))
(/.f64 (neg.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (neg.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(/.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (*.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 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) (pow.f64 (/.f64 #s(literal 1 binary64) t) #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 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) t)
(.f64 (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 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(.f64 t (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(.f64 #s(literal 1 binary64) (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(pow.f64 (/.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 t #s(literal 1 binary64))) (neg.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))))
(/.f64 (.f64 t #s(literal 1 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(/.f64 (neg.f64 t) (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) 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 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t)))
(neg.f64 (/.f64 (neg.f64 t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(neg.f64 (/.f64 t (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t)) #s(literal -1 binary64)))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 #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 (/.f64 t l) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(.f64 (.f64 (/.f64 t l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) t) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 t l) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 t l))
(.f64 t (.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(pow.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 l (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #s(literal -1 binary64))
(pow.f64 (/.f64 l (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) t)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (neg.f64 t))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (/.f64 l t)))
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(/.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 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 x (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #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 (-.f64 x #s(literal 1 binary64))) #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 #s(literal 1 binary64) (/.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))
(expm1.f64 (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.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))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #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))))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) l))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) l)
(*.f64 l (sqrt.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) x))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 x)) x)))
(/.f64 (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (neg.f64 x)))
(/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (neg.f64 x)) x))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal -1 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 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))

eval295.0ms (2.1%)

Memory: -8.9MiB live, 338.6MiB allocated
Compiler: Compiled 84 521 to 4 323 computations (94.9% saved)

prune250.0ms (1.8%)

Memory

-2.0MiB live, 387.5MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1 219	11	1 230
Fresh	19	9	28
Picked	3	2	5
Done	0	1	1
Total	1 241	23	1 264

Accuracy

99.2%

Counts

1 264 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.8%	(/.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	55.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
	53.1%	(/.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 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (/.f64 (.f64 l l) x)))) (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 x x)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))))))
	52.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
▶	72.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 #s(approx (sqrt (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	27.4%	(/.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 #s(approx (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)))))))
	27.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))))
▶	26.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (.f64 (.f64 l (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
✓	72.8%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))) (sqrt.f64 #s(literal 2 binary64)))
	72.2%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- -1 x) (- 1 x))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))
	72.4%	(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
▶	39.6%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) (-.f64 (-.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l)) (/.f64 (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (fma.f64 l l (.f64 #s(literal 2 binary64) (*.f64 t t)))) x))))))
	28.1%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 t t) (+.f64 x #s(literal 1 binary64))))))))
	27.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l))
	27.3%	#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) (.f64 (/.f64 #s(literal 1 binary64) l) #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) x)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) x)))))
	27.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (/.f64 #s(literal 1 binary64) l)))
	25.0%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
▶	25.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 #s(approx ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) (/.f64 t l)))
✓	71.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	25.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (/.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) l)))
	24.8%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 t l)))
▶	26.9%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
✓	72.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 1 111 to 645 computations (41.9% saved)

simplify203.0ms (1.5%)

Memory

-13.3MiB live, 239.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) (-.f64 (-.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l)) (/.f64 (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (fma.f64 l l (.f64 #s(literal 2 binary64) (*.f64 t t)))) x))))))
cost-diff	448	(-.f64 (-.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l)) (/.f64 (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (fma.f64 l l (.f64 #s(literal 2 binary64) (*.f64 t t)))) x))
cost-diff	896	(-.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (*.f64 l l))
cost-diff	1024	(-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))))
cost-diff	0	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (.f64 (.f64 l (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.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))) #s(approx (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (.f64 (.f64 l (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
cost-diff	0	(.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
cost-diff	0	(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
cost-diff	0	#s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
cost-diff	0	#s(approx (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	(.f64 (sqrt.f64 #s(approx ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) (/.f64 t l))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 #s(approx ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) (/.f64 t l)))
cost-diff	0	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 #s(approx (sqrt (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 #s(approx (sqrt (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))

Rules

18 302×	`lower-fma.f32`
18 300×	`lower-fma.f64`
3 486×	`lower-*.f32`
3 462×	`lower-*.f64`
2 970×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	904
0	122	899
1	237	839
2	535	774
3	1409	760
4	4508	760
0	8662	755

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

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

localize385.0ms (2.8%)

Memory

40.5MiB live, 595.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2694064191076546	#s(approx (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) (-.f64 (-.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l)) (/.f64 (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (fma.f64 l l (.f64 #s(literal 2 binary64) (*.f64 t t)))) x)))
accuracy	8.463021615711963	(/.f64 (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) x)
accuracy	15.11131379066183	(sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) (-.f64 (-.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l)) (/.f64 (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (fma.f64 l l (.f64 #s(literal 2 binary64) (*.f64 t t)))) x)))))
accuracy	15.240745934161195	(-.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (*.f64 l l))
accuracy	0.20703125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	0.2109375	(*.f64 l (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.6831579583971914	#s(approx (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (.f64 (.f64 l (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
accuracy	20.74090948508072	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (.f64 (.f64 l (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
accuracy	0.2890625	(.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.5143944368111416	#s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l))
accuracy	0.8145578927378538	(/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)
accuracy	20.689354906181837	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
accuracy	0	(sqrt.f64 #s(approx (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64))))
accuracy	0	#s(approx (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))
accuracy	1.4379249625072303	(.f64 (sqrt.f64 #s(approx ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) (/.f64 t l))
accuracy	20.689354906181837	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 #s(approx ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) (/.f64 t l)))
accuracy	0.1015625	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 #s(approx (sqrt (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
accuracy	0.20703125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	0.3085152721846992	#s(approx (sqrt (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
accuracy	16.280404582072308	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 #s(approx (sqrt (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))

Samples

160.0ms	102×	0	invalid
89.0ms	81×	1	valid
82.0ms	69×	2	valid
4.0ms	4×	0	valid

Compiler

Compiled 585 to 72 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 57.0ms (33.9% of total)

ival-div: 33.0ms (19.6% of total)

adjust: 23.0ms (13.7% of total)

ival-sqrt: 21.0ms (12.5% of total)

ival-sub: 19.0ms (11.3% of total)

ival-add: 12.0ms (7.1% of total)

ival-neg: 3.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series125.0ms (0.9%)

Memory

-15.9MiB live, 254.5MiB allocated

Counts

25 → 672

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	t	@	0	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (/ t l)) (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/ (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) l) (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) (- (+ (* l l) (* 2 (* t t))) (* l l)) (- (- (+ (* l l) (* 2 (* t t))) (* l l)) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x)) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))))) (sqrt (/ (- x -1) (- x 1))) (* (* t (sqrt 1/2)) (sqrt 2)) (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (* l (sqrt 2)) (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x) (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))
7.0ms	l	@	0	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (/ t l)) (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/ (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) l) (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) (- (+ (* l l) (* 2 (* t t))) (* l l)) (- (- (+ (* l l) (* 2 (* t t))) (* l l)) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x)) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))))) (sqrt (/ (- x -1) (- x 1))) (* (* t (sqrt 1/2)) (sqrt 2)) (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (* l (sqrt 2)) (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x) (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))
7.0ms	t	@	-inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (/ t l)) (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/ (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) l) (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) (- (+ (* l l) (* 2 (* t t))) (* l l)) (- (- (+ (* l l) (* 2 (* t t))) (* l l)) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x)) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))))) (sqrt (/ (- x -1) (- x 1))) (* (* t (sqrt 1/2)) (sqrt 2)) (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (* l (sqrt 2)) (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x) (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))
6.0ms	l	@	-inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (/ t l)) (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/ (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) l) (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) (- (+ (* l l) (* 2 (* t t))) (* l l)) (- (- (+ (* l l) (* 2 (* t t))) (* l l)) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x)) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))))) (sqrt (/ (- x -1) (- x 1))) (* (* t (sqrt 1/2)) (sqrt 2)) (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (* l (sqrt 2)) (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x) (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))
6.0ms	x	@	0	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (/ t l)) (sqrt (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/ (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) l) (* (* (* t (sqrt 1/2)) (sqrt 2)) (sqrt x)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) (- (+ (* l l) (* 2 (* t t))) (* l l)) (- (- (+ (* l l) (* 2 (* t t))) (* l l)) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x)) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))))) (sqrt (/ (- x -1) (- x 1))) (* (* t (sqrt 1/2)) (sqrt 2)) (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (* l (sqrt 2)) (sqrt (/ 2 (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x) (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))

simplify351.0ms (2.5%)

Memory

17.5MiB live, 500.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 918×	`lower-*.f64`
7 918×	`lower-*.f32`
4 884×	`lower-fma.f64`
4 884×	`lower-fma.f32`
3 238×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1503	48849
1	5180	43899
0	8229	41674

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 670

Calls

Call 1

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

rewrite219.0ms (1.6%)

Memory

13.6MiB live, 248.4MiB allocated

Rules

4 590×	`lower-fma.f32`
4 588×	`lower-fma.f64`
4 216×	`lower-*.f32`
4 192×	`lower-*.f64`
2 348×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	731
0	122	720
1	530	613
2	5090	611
0	8141	607

Stop Event

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

Counts

25 → 319

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

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

eval235.0ms (1.7%)

Memory: -16.3MiB live, 333.2MiB allocated
Compiler: Compiled 73 520 to 2 842 computations (96.1% saved)

prune205.0ms (1.5%)

Memory

-2.4MiB live, 315.7MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1 028	13	1 041
Fresh	9	6	15
Picked	3	2	5
Done	0	3	3
Total	1 040	24	1 064

Accuracy

99.2%

Counts

1 064 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.8%	(/.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	55.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
	52.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
✓	72.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 #s(approx (sqrt (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
✓	72.8%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))) (sqrt.f64 #s(literal 2 binary64)))
	72.2%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- -1 x) (- 1 x))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))
	72.4%	(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
	54.9%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) #s(approx (- (- (+ (* l l) (* 2 (* t t))) (* l l)) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x)) (fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) (.f64 t t) (.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64))))))))
	54.6%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) #s(approx (- (- (+ (* l l) (* 2 (* t t))) (* l l)) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (/.f64 (*.f64 t t) x) #s(literal 4 binary64))))))))
	43.0%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) #s(approx (- (- (+ (* l l) (* 2 (* t t))) (* l l)) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x)) (/.f64 (fma.f64 (.f64 (.f64 t t) x) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (.f64 t t) (.f64 (*.f64 l l) #s(literal 2 binary64)))) x))))))
	28.1%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 t t) (+.f64 x #s(literal 1 binary64))))))))
	27.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (.f64 (sqrt.f64 #s(approx ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) t) l))
	27.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(approx (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) t) (/.f64 #s(literal 1 binary64) l)))
✓	25.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 #s(approx ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) (/.f64 t l)))
✓	71.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	27.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 t (.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 #s(approx (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))))))
	27.1%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (*.f64 t (sqrt.f64 x)) l)))
	26.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t (sqrt.f64 x))))))
	27.1%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (.f64 (/.f64 (sqrt.f64 x) l) (.f64 #s(literal 1 binary64) t))))
	27.0%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (.f64 (/.f64 #s(literal 1 binary64) l) (.f64 t (sqrt.f64 x)))))
	25.0%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (*.f64 (sqrt.f64 x) (/.f64 t l))))
	25.0%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (.f64 (sqrt.f64 x) (.f64 (*.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) l)))))
	25.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (exp.f64 (.f64 (log.f64 (/.f64 l (.f64 t (sqrt.f64 x)))) #s(literal -1 binary64)))))
✓	72.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 2 421 to 684 computations (71.7% saved)

regimes226.0ms (1.6%)

Memory

9.9MiB live, 218.2MiB allocated

Counts

81 → 4

Calls

Call 1

Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (*.f64 (sqrt.f64 x) (/.f64 t l))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (*.f64 t (sqrt.f64 x)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 #s(approx ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) (/.f64 t l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (.f64 (sqrt.f64 #s(approx ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) t) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (.f64 (/.f64 #s(literal 1 binary64) l) (.f64 t (sqrt.f64 x)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (.f64 (/.f64 (sqrt.f64 x) l) (.f64 #s(literal 1 binary64) t))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 t (.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 #s(approx (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.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 (sqrt.f64 #s(approx (* (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) t) (/.f64 #s(literal 1 binary64) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (.f64 (sqrt.f64 x) (.f64 (*.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) l)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t (sqrt.f64 x))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 t t) (+.f64 x #s(literal 1 binary64))))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- -1 x) (- 1 x))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2)) (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 t l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) (.f64 (.f64 l l) (-.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) 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 #s(approx (sqrt (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 t l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64))) t) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ -1 (- 1 x)) (* (* (- x -1) l) l)) (+ (* (/ (- -1 x) (- 1 x)) (* (* t t) 2)) (* (neg l) l)))) (*.f64 l (sqrt.f64 (-.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t t) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* l (sqrt (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)))) (.f64 (.f64 l (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.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 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) #s(approx (- (- (+ (* l l) (* 2 (* t t))) (* l l)) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x)) (fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) (.f64 t t) (.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64))))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) #s(approx (- (- (+ (* l l) (* 2 (* t t))) (* l l)) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x)) (/.f64 (fma.f64 (.f64 (.f64 t t) x) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (.f64 t t) (.f64 (*.f64 l l) #s(literal 2 binary64)))) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) #s(approx (- (- (+ (* l l) (* 2 (* t t))) (* l l)) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (/.f64 (*.f64 t t) x) #s(literal 4 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 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 l l)))))
(.f64 (/.f64 t (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 l (sqrt.f64 #s(approx (+ (/ 1 (- x 1)) (- (/ x (- x 1)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal -1 binary64))) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (.f64 (neg.f64 l) l)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) (-.f64 (-.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l)) (/.f64 (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (fma.f64 l l (.f64 #s(literal 2 binary64) (*.f64 t t)))) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (/.f64 #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)) t) (.f64 (/.f64 #s(literal 1 binary64) l) #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) x)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x))) x)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (.f64 (neg.f64 l) l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64)) (.f64 (neg.f64 l) l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 x x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 l) l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 l) l))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) 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)) (fma.f64 (.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (*.f64 l l) x))) (neg.f64 x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (.f64 x (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (/.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 (-.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))))) (.f64 (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)) (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l)))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 #s(literal 2 binary64) t) t (/.f64 (fma.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal -2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (.f64 l l) x))) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)) (neg.f64 x))) (neg.f64 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 (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (/.f64 (.f64 l l) x)))) (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 x x)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (exp.f64 (.f64 (log.f64 (/.f64 l (.f64 t (sqrt.f64 x)))) #s(literal -1 binary64)))))
(/.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (/.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 x (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (.f64 x (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 l (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/128 binary64) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 l (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))

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

Calls

6 calls:

115.0ms	(/.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))))
23.0ms	l
23.0ms	x
21.0ms	t
20.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
77.4%	3	`x`
84.5%	3	`l`
88.3%	4	`t`
85.7%	3	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
73.0%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
84.5%	3	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes33.0ms (0.2%)

Memory

-10.7MiB live, 27.2MiB allocated

Counts

73 → 4

Calls

Call 1

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

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

Calls

1 calls:

28.0ms

Results

Accuracy	Segments	Branch
88.3%	4	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Memory

25.4MiB live, 25.4MiB allocated

Counts

70 → 4

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
88.2%	4	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes42.0ms (0.3%)

Memory

-10.4MiB live, 32.7MiB allocated

Counts

65 → 4

Calls

Call 1

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

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

Calls

1 calls:

37.0ms

Results

Accuracy	Segments	Branch
88.1%	4	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Memory

-3.0MiB live, 32.8MiB allocated

Counts

58 → 4

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
87.3%	4	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Memory

1.1MiB live, 38.2MiB allocated

Counts

42 → 4

Calls

Call 1

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

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

Calls

2 calls:

11.0ms

(/.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
84.6%	3	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
87.3%	4	`t`

Compiler

Compiled 34 to 21 computations (38.2% saved)

regimes16.0ms (0.1%)

Memory

-9.9MiB live, 26.1MiB allocated

Counts

39 → 4

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
87.2%	4	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes42.0ms (0.3%)

Memory

11.5MiB live, 59.1MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

10.0ms	(/.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))))
10.0ms	t
10.0ms	l
9.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
82.6%	2	`l`
82.6%	2	`(*.f64 l l)`
82.5%	2	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
78.8%	2	`t`

Compiler

Compiled 44 to 28 computations (36.4% saved)

regimes38.0ms (0.3%)

Memory

-8.8MiB live, 29.6MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

22.0ms

7.0ms

(*.f64 l l)

7.0ms

(/.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
82.2%	2	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
82.2%	2	`l`
82.2%	2	`(*.f64 l l)`

Compiler

Compiled 40 to 25 computations (37.5% saved)

regimes10.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

3.0ms

(*.f64 l l)

3.0ms

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

Results

Accuracy	Segments	Branch
81.8%	2	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
82.2%	2	`l`
82.2%	2	`(*.f64 l l)`

Compiler

Compiled 40 to 25 computations (37.5% saved)

regimes5.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

2.0ms	l
2.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
81.9%	2	`l`
81.9%	2	`(*.f64 l l)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.1%)

Memory

-30.9MiB live, 8.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

3 calls:

12.0ms

(/.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))))

2.0ms

(*.f64 l l)

Results

Accuracy	Segments	Branch
79.5%	2	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
79.9%	2	`l`
79.9%	2	`(*.f64 l l)`

Compiler

Compiled 40 to 25 computations (37.5% saved)

regimes9.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Accuracy

Total -0.7b remaining (-3.9%)

Threshold costs -0.7b (-3.9%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
72.4%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
72.4%	1	`x`
72.4%	1	`t`
72.4%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
72.4%	1	`l`
72.4%	1	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

bsearch96.0ms (0.7%)

Memory

17.7MiB live, 132.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	1.0487411372291078e+68	1.9296241812326848e+68
21.0ms	7.13613399949201e-166	2.746607063862562e-165
57.0ms	5.1051329460950325e-220	2.9497530898842054e-217

Samples

33.0ms	146×	1	valid
14.0ms	48×	1	invalid
13.0ms	107×	0	valid
6.0ms	19×	2	valid
2.0ms	3×	2	invalid
0.0ms	2×	0	invalid

Compiler

Compiled 1 251 to 602 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 13.0ms (25.3% of total)

adjust: 9.0ms (17.5% of total)

ival-sub: 8.0ms (15.6% of total)

ival-div: 7.0ms (13.6% of total)

ival-sqrt: 7.0ms (13.6% of total)

ival-add: 7.0ms (13.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.0487411372291078e+68	1.9296241812326848e+68
1.0ms	7.13613399949201e-166	2.746607063862562e-165
1.0ms	5.1051329460950325e-220	2.9497530898842054e-217

Compiler

Compiled 1 143 to 584 computations (48.9% saved)

bsearch5.0ms (0%)

Memory

-30.8MiB live, 6.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	1.0487411372291078e+68	1.9296241812326848e+68
3.0ms	7.13613399949201e-166	2.746607063862562e-165
1.0ms	5.1051329460950325e-220	2.9497530898842054e-217

Compiler

Compiled 1 008 to 539 computations (46.5% saved)

bsearch30.0ms (0.2%)

Memory

23.3MiB live, 60.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	1.0487411372291078e+68	1.9296241812326848e+68
25.0ms	3.7601944480247885e-155	1.8726258087661207e-154
1.0ms	5.1051329460950325e-220	2.9497530898842054e-217

Samples

8.0ms	48×	1	valid
6.0ms	21×	1	invalid
4.0ms	44×	0	valid
1.0ms	4×	2	invalid
1.0ms	4×	2	valid

Compiler

Compiled 979 to 554 computations (43.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sub: 4.0ms (24.4% of total)

ival-mult: 4.0ms (24.4% of total)

ival-div: 2.0ms (12.2% of total)

adjust: 2.0ms (12.2% of total)

ival-sqrt: 2.0ms (12.2% of total)

ival-add: 2.0ms (12.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch66.0ms (0.5%)

Memory

9.4MiB live, 95.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	1.0487411372291078e+68	1.9296241812326848e+68
36.0ms	5.567794648052722e-179	1.1020204350513767e-171
23.0ms	4.0133923157089995e-204	5.65663632200511e-204

Samples

29.0ms	122×	1	valid
9.0ms	75×	0	valid
8.0ms	45×	1	invalid
3.0ms	11×	2	valid
0.0ms	2×	2	invalid
0.0ms	3×	0	invalid

Compiler

Compiled 792 to 497 computations (37.2% saved)

Precisions

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

ival-sqrt: 13.0ms (32.1% of total)

ival-mult: 8.0ms (19.8% of total)

adjust: 6.0ms (14.8% of total)

ival-add: 6.0ms (14.8% of total)

ival-div: 5.0ms (12.4% of total)

ival-sub: 4.0ms (9.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

-32.2MiB live, 4.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	1.0487411372291078e+68	1.9296241812326848e+68
1.0ms	5.567794648052722e-179	1.1020204350513767e-171
2.0ms	4.0133923157089995e-204	5.65663632200511e-204

Compiler

Compiled 779 to 497 computations (36.2% saved)

bsearch20.0ms (0.1%)

Memory

0.7MiB live, 37.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	4.7493186170652814e+79	4.690334529887705e+80
1.0ms	5.567794648052722e-179	1.1020204350513767e-171
0.0ms	4.0133923157089995e-204	5.65663632200511e-204

Samples

7.0ms	73×	0	valid
4.0ms	23×	1	valid
0.0ms	2×	1	invalid

Compiler

Compiled 873 to 565 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (34.8% of total)

ival-add: 1.0ms (11.6% of total)

ival-sub: 1.0ms (11.6% of total)

adjust: 1.0ms (11.6% of total)

ival-div: 1.0ms (11.6% of total)

ival-sqrt: 1.0ms (11.6% 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

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0128547272335946e+307	+inf

Compiler

Compiled 31 to 24 computations (22.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0128547272335946e+307	+inf

Compiler

Compiled 31 to 24 computations (22.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0128547272335946e+307	+inf

Compiler

Compiled 31 to 24 computations (22.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0128547272335946e+307	+inf

Compiler

Compiled 31 to 24 computations (22.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0128547272335946e+307	+inf

Compiler

Compiled 31 to 24 computations (22.6% saved)

simplify88.0ms (0.6%)

Memory

13.2MiB live, 53.5MiB allocated

Algorithm

1×	egg-herbie

Rules

666×	`distribute-lft-neg-in_binary64`
380×	`unsub-neg_binary64`
374×	`neg-mul-1_binary64`
342×	`neg-sub0_binary64`
276×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	2080
1	231	2080
2	260	2078
3	299	2078
4	354	2078
5	423	2078
6	486	2078
7	603	2078
8	747	2078
9	882	2078
10	1022	2078
11	1192	2078
12	1411	2078
13	1662	2078
14	1889	2078
15	2077	2078
16	2158	2078
17	2174	2078
18	2174	2078
19	2174	2078

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 203690373709853/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (.f64 (sqrt.f64 #s(approx ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) t) l)) (if (<=.f64 t #s(literal 1400461504497335/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 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 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (if (<=.f64 t #s(literal 105000000000000000432227972251715664691877623245810507116572431089664 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 #s(literal 2 binary64) t) t (/.f64 (fma.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal -2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (.f64 l l) x))) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x)) (neg.f64 x))) (neg.f64 x)))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))))
(if (<=.f64 t #s(literal 203690373709853/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (.f64 (sqrt.f64 #s(approx ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) t) l)) (if (<=.f64 t #s(literal 1400461504497335/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 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 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (if (<=.f64 t #s(literal 105000000000000000432227972251715664691877623245810507116572431089664 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (.f64 l l) x))) (neg.f64 x)))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))))
(if (<=.f64 t #s(literal 203690373709853/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (.f64 (sqrt.f64 #s(approx ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) t) l)) (if (<=.f64 t #s(literal 1400461504497335/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 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 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (if (<=.f64 t #s(literal 105000000000000000432227972251715664691877623245810507116572431089664 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x)))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))))
(if (<=.f64 t #s(literal 203690373709853/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (.f64 (sqrt.f64 #s(approx ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) t) l)) (if (<=.f64 t #s(literal 2264377454892925/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 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 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (if (<=.f64 t #s(literal 105000000000000000432227972251715664691877623245810507116572431089664 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) #s(approx (- (- (+ (* l l) (* 2 (* t t))) (* l l)) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (/.f64 (.f64 t t) x) #s(literal 4 binary64)))))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))))
(if (<=.f64 t #s(literal 5930429313287257/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (.f64 (sqrt.f64 #s(approx ( (/ 1 (- (/ (- -1 x) (- 1 x)) 1)) 2) (-.f64 x #s(literal 1 binary64)))) t) l)) (if (<=.f64 t #s(literal 3992135540419421/1140610154405548804660292901425072831223307126812139982644798129474818791802169346626478202829342849944660577393398601827672176180343859499563165329930553547062998668590066237520718548061650944 binary64)) (.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- -1 x) (- 1 x))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64))) (if (<=.f64 t #s(literal 105000000000000000432227972251715664691877623245810507116572431089664 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))) #s(approx (- (- (+ (* l l) (* 2 (* t t))) (* l l)) (/ (- (neg (+ (* l l) (* 2 (* t t)))) (+ (* l l) (* 2 (* t t)))) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 t t (/.f64 (.f64 l l) x)) (.f64 (/.f64 (.f64 t t) x) #s(literal 4 binary64)))))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) 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 (.f64 l l) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) #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(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (*.f64 (/.f64 t l) (sqrt.f64 x)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

soundness1.5s (11.1%)

Memory

0.8MiB live, 1 224.4MiB 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	1503	48849
1	5180	43899
0	8229	41674
0	2096	51657
1	6302	50245
0	8133	48103
0	1225	45489
1	4199	44282
0	9013	41958
0	676	10349
1	2332	9162
0	8700	8754
0	18	85
0	31	85
1	116	85
2	928	84
0	8797	80
0	88	731
0	122	720
1	530	613
2	5090	611
0	8141	607
0	62	443
0	103	410
1	414	375
2	3832	375
0	11763	375

Stop Event

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

Compiler

Compiled 1 621 to 672 computations (58.5% saved)

preprocess159.0ms (1.1%)

Memory: 12.4MiB live, 203.5MiB allocated
Compiler: Compiled 2 184 to 494 computations (77.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze384.0ms (2.8%)

sample3.3s (23.8%)

explain408.0ms (2.9%)

preprocess311.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify199.0ms (1.4%)

localize58.0ms (0.4%)

series129.0ms (0.9%)

simplify195.0ms (1.4%)

rewrite202.0ms (1.5%)

eval151.0ms (1.1%)

prune167.0ms (1.2%)

simplify360.0ms (2.6%)

localize268.0ms (1.9%)

series190.0ms (1.4%)

simplify390.0ms (2.8%)

rewrite391.0ms (2.8%)

eval299.0ms (2.2%)

prune288.0ms (2.1%)

simplify148.0ms (1.1%)

localize301.0ms (2.2%)

series162.0ms (1.2%)

simplify469.0ms (3.4%)

rewrite311.0ms (2.2%)

eval295.0ms (2.1%)

prune250.0ms (1.8%)

simplify203.0ms (1.5%)

localize385.0ms (2.8%)

series125.0ms (0.9%)

simplify351.0ms (2.5%)

rewrite219.0ms (1.6%)

eval235.0ms (1.7%)

prune205.0ms (1.5%)

regimes226.0ms (1.6%)

regimes33.0ms (0.2%)

regimes23.0ms (0.2%)

regimes42.0ms (0.3%)

regimes23.0ms (0.2%)

regimes26.0ms (0.2%)

regimes16.0ms (0.1%)

regimes42.0ms (0.3%)

regimes38.0ms (0.3%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

regimes16.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch96.0ms (0.7%)

bsearch3.0ms (0%)

bsearch5.0ms (0%)

bsearch30.0ms (0.2%)

bsearch66.0ms (0.5%)

bsearch4.0ms (0%)

bsearch20.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify88.0ms (0.6%)

soundness1.5s (11.1%)

preprocess159.0ms (1.1%)

end0.0ms (0%)

Profiling