Metrics for Toniolo and Linder, Equation (7)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze343.0ms (2.8%)

Memory

2.4MiB live, 709.4MiB 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)

sample3.0s (24.2%)

Memory

39.4MiB live, 4 060.3MiB allocated

Samples

688.0ms	2 740×	1	valid
688.0ms	5 355×	0	valid
399.0ms	2 794×	0	invalid
338.0ms	1 714×	1	invalid
47.0ms	161×	2	valid
30.0ms	101×	2	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-mult: 497.0ms (29.7% of total)

ival-div: 275.0ms (16.5% of total)

ival-add: 249.0ms (14.9% of total)

ival-sqrt: 244.0ms (14.6% of total)

ival-sub: 205.0ms (12.3% of total)

adjust: 174.0ms (10.4% of total)

exact: 13.0ms (0.8% of total)

ival-true: 11.0ms (0.7% of total)

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

Bogosity

explain425.0ms (3.4%)

Memory

-40.9MiB live, 295.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
115	0	-	36	(-3.8540978200180405e+169 5.307095557811802e-219 2.468915680171351e-230)	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`
77	17	(2.186928344503489e+169 -3.608342828986429e-157 -1.2629951732917779e-238)	9	(-2.35117371260766e+155 -7.234349950641675e+295 7.173855573631906e+300)	`(-.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	-	0	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
0	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	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`t`
0	0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 t t))`
0	0	-	0	-	`(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)`
0	0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	0	-	`(*.f64 l l)`
0	0	-	0	-	`(sqrt.f64 #s(literal 2 binary64))`
0	0	-	0	-	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
0	0	-	0	-	`(*.f64 t t)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(-.f64 x #s(literal 1 binary64))`
0	0	-	0	-	`l`
0	19	(2.8763144757309314e+212 -2.4503450760374196e+176 2.1733198908332093e+287)	0	-	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.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	85	0
`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	71	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	87
↳	`(.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	100
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	79
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	100
↳	`(*.f64 t t)`	overflow	79
↳	`(*.f64 l l)`	overflow	80
`+.f64`	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	nan-rescue	19	0
↳	`(*.f64 l l)`	overflow	40
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	79
↳	`(*.f64 t t)`	overflow	79
`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	8	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	25
↳	`(.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	13
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	42
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	13
↳	`(*.f64 t t)`	underflow	42
↳	`(*.f64 l l)`	underflow	128

Confusion

	Predicted +	Predicted -
+	162	2
-	0	92

Precision

1.0

Recall

0.9878048780487805

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	162	0	2
-	0	0	92

Precision?

1.0

Recall?

0.9878048780487805

Freqs

test

number	freq
0	94
1	143
2	17
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms	348×	0	valid
34.0ms	154×	1	valid
3.0ms	10×	2	valid

Compiler

Compiled 424 to 129 computations (69.6% saved)

Precisions

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

ival-mult: 16.0ms (31.2% of total)

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

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

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

ival-sub: 6.0ms (11.7% of total)

adjust: 5.0ms (9.7% of total)

ival-true: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

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

preprocess342.0ms (2.7%)

Memory

1.1MiB live, 225.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs l)

(negabs t)

Compiler

Compiled 27 to 18 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.8%	(/.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

▶

37.8%

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify347.0ms (2.8%)

Memory

0.8MiB live, 241.9MiB 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)

localize117.0ms (0.9%)

Memory

1.6MiB live, 77.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(/.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	0.484375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	16.90835489579155	(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))
accuracy	26.625757520704028	(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

61.0ms	174×	0	valid
17.0ms	77×	1	valid
2.0ms	5×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-sub: 44.0ms (66.5% of total)

ival-mult: 8.0ms (12.1% of total)

ival-div: 4.0ms (6% of total)

ival-sqrt: 4.0ms (6% of total)

adjust: 3.0ms (4.5% of total)

ival-add: 3.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series87.0ms (0.7%)

Memory

31.4MiB live, 110.8MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	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)))
10.0ms	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)))
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)))
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)))
7.0ms	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)))

simplify203.0ms (1.6%)

Memory

6.8MiB live, 349.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite257.0ms (2.1%)

Memory

-20.9MiB live, 422.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 417

Calls

Call 1

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

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

eval85.0ms (0.7%)

Memory: 6.1MiB live, 158.3MiB allocated
Compiler: Compiled 27 934 to 2 433 computations (91.3% saved)

prune118.0ms (1%)

Memory

-10.5MiB live, 237.5MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	539	22	561
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	540	22	562

Accuracy

93.0%

Counts

562 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.7%	(/.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 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l))))
	11.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (*.f64 (neg.f64 l) l))))
	13.8%	(/.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 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
	38.3%	(/.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)))))
	2.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l))))
	53.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.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))))))
	52.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (*.f64 l l) x))) (neg.f64 x))))))
	52.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #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))))))
▶	3.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))))
	45.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t t) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
▶	53.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	58.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) t)))
▶	82.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	79.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
	40.5%	(.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)))
	40.6%	(.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
	40.4%	(.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)))))))
	48.0%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) t) t)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	81.5%	#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)))))
	3.0%	#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 (.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)))
	3.7%	#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)))
▶	78.2%	#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 1 240 to 804 computations (35.2% saved)

simplify194.0ms (1.6%)

Memory

17.2MiB live, 169.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
cost-diff	256	(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l))))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))))
cost-diff	128	(*.f64 (-.f64 x #s(literal -1 binary64)) l)
cost-diff	320	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 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

11 602×	`lower-fma.f32`
11 596×	`lower-fma.f64`
4 974×	`lower-*.f32`
4 954×	`lower-*.f64`
2 708×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	637
0	90	629
1	173	626
2	362	612
3	835	612
4	3151	612
5	7116	612
0	8071	602

Stop Event

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

Calls

Call 1

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

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

localize250.0ms (2%)

Memory

14.9MiB live, 294.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.484375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	4.287158744485071	(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
accuracy	11.851566024529918	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
accuracy	21.419103926727825	(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t)
accuracy	0.484375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	11.256833937896713	(/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))
accuracy	23.16274418947754	(fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))
accuracy	26.625757520704028	(sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))
accuracy	6.901382313938016	(/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64)))
accuracy	26.625757520704028	(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))))
accuracy	31.37424210113694	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l))
accuracy	45.23843789440723	#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)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	1.0	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	13.201422410932231	#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	0.02734375	(.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	0.07421875	(/.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	0.484375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	11.034214563621765	#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

131.0ms	161×	1	valid
44.0ms	18×	2	valid
24.0ms	77×	0	valid

Compiler

Compiled 522 to 47 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 33.0ms (32.6% of total)

ival-div: 20.0ms (19.8% of total)

adjust: 15.0ms (14.8% of total)

ival-sqrt: 14.0ms (13.8% of total)

ival-add: 10.0ms (9.9% of total)

ival-sub: 8.0ms (7.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series215.0ms (1.7%)

Memory

-2.9MiB live, 201.5MiB allocated

Counts

22 → 600

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
48.0ms	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) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
32.0ms	t	@	inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
17.0ms	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) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
16.0ms	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) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
10.0ms	x	@	0	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))

simplify645.0ms (5.2%)

Memory

12.8MiB live, 532.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 236×	`lower-*.f64`
6 236×	`lower-*.f32`
5 824×	`lower-fma.f64`
5 824×	`lower-fma.f32`
3 500×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1321	48782
1	4767	47417
0	8487	44354

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 599

Calls

Call 1

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

rewrite179.0ms (1.4%)

Memory

-5.4MiB live, 312.2MiB allocated

Rules

4 794×	`lower-/.f32`
4 776×	`lower-/.f64`
4 438×	`lower-*.f32`
4 420×	`lower-*.f64`
3 556×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	496
0	90	480
1	354	474
2	2874	471
0	9020	468

Stop Event

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

Counts

22 → 476

Calls

Call 1

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

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

eval203.0ms (1.6%)

Memory: -2.2MiB live, 462.6MiB allocated
Compiler: Compiled 68 357 to 3 524 computations (94.8% saved)

prune146.0ms (1.2%)

Memory

9.1MiB live, 406.2MiB allocated

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	1 174	20	1 194
Fresh	16	1	17
Picked	2	3	5
Done	0	0	0
Total	1 192	24	1 216

Accuracy

94.0%

Counts

1 216 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.3%	(/.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))))
✓	32.7%	(/.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 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l))))
	3.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) l) l (.f64 (neg.f64 l) l)))))
	5.2%	(/.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 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))))
	2.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 #s(approx ( (- x -1) l) (.f64 x l)) l) (-.f64 x #s(literal 1 binary64))) (.f64 l l)))))
	12.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)))))
▶	12.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (-.f64 (fma.f64 l l (.f64 l l)) (/.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)) (neg.f64 x))) x)))))
	12.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (neg.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (.f64 l l)) x))) (neg.f64 x))))))
	52.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t))))
	74.7%	(/.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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(approx (/ ( 2 (+ (* (* t t) 2) (* l l))) t) (.f64 (/.f64 (.f64 l l) t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
✓	82.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	7.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.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)))
▶	82.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
	46.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (fma.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (/.f64 l x) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t))) t))))
	41.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) x)) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)))) (.f64 l l)))))
	5.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64)))))))
▶	82.5%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (sqrt.f64 #s(literal 2 binary64)))
	82.4%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
▶	40.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (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))))))))
	3.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal -1 binary64)) l) (.f64 (neg.f64 l) l))))))
	81.5%	#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)))))
	7.6%	#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) (+.f64 (/.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)))
✓	78.2%	#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))))
▶	79.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 993 to 737 computations (25.8% saved)

simplify127.0ms (1%)

Memory

-7.8MiB live, 199.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	64	(fma.f64 l l (*.f64 l l))
cost-diff	128	(/.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (.f64 l l)) x)) (neg.f64 x))
cost-diff	640	(+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (.f64 l l)) x))
cost-diff	640	(-.f64 (fma.f64 l l (.f64 l l)) (/.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)) (neg.f64 x)))
cost-diff	0	(fma.f64 (neg.f64 l) l (.f64 (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)))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (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)))))))
cost-diff	0	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (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))))))))
cost-diff	128	(/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (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))))))
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 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) 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 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) 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 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))

Rules

11 652×	`lower-fma.f32`
11 646×	`lower-fma.f64`
3 100×	`lower-*.f32`
3 084×	`lower-*.f64`
1 982×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	823
0	89	790
1	169	784
2	311	760
3	643	743
4	2105	731
5	6217	719
0	8313	701

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

localize199.0ms (1.6%)

Memory

8.2MiB live, 406.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	5.226987052900705	(/.f64 (fma.f64 l l (*.f64 l l)) x)
accuracy	5.226987052900705	(/.f64 (-.f64 (fma.f64 l l (.f64 l l)) (/.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)) (neg.f64 x))) x)
accuracy	26.625757520704028	(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (-.f64 (fma.f64 l l (.f64 l l)) (/.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)) (neg.f64 x))) x))))
accuracy	45.23843789440723	#s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (-.f64 (fma.f64 l l (.f64 l l)) (/.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)) (neg.f64 x))) x)))
accuracy	0.1640625	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (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))))))))
accuracy	0.557884784759247	(/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (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))))))
accuracy	13.563207019972833	(fma.f64 (neg.f64 l) l (.f64 (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)))))
accuracy	26.35941037111237	(sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (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)))))))
accuracy	0.34375	(/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
accuracy	0.45703125	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)
accuracy	0.8795700195368841	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	11.034214563621765	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))
accuracy	13.201422410932231	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
accuracy	0.07421875	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
accuracy	0.45703125	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)
accuracy	0.484375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	11.034214563621765	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))

Samples

115.0ms	161×	1	valid
24.0ms	77×	0	valid
15.0ms	18×	2	valid

Compiler

Compiled 620 to 48 computations (92.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-div: 33.0ms (29% of total)

ival-mult: 29.0ms (25.5% of total)

adjust: 15.0ms (13.2% of total)

ival-sqrt: 12.0ms (10.6% of total)

ival-add: 12.0ms (10.6% of total)

ival-sub: 9.0ms (7.9% of total)

ival-neg: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series126.0ms (1%)

Memory

7.1MiB live, 212.9MiB allocated

Counts

21 → 576

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	l	@	-inf	((* 2 (/ (- x -1) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (/ 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))) (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))))) (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))))) (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x)) (+ (* l l) (* l l)) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) x) (/ (+ (* l l) (* l l)) x))
9.0ms	t	@	inf	((* 2 (/ (- x -1) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (/ 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))) (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))))) (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))))) (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x)) (+ (* l l) (* l l)) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) x) (/ (+ (* l l) (* l l)) x))
9.0ms	x	@	-inf	((* 2 (/ (- x -1) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (/ 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))) (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))))) (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))))) (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x)) (+ (* l l) (* l l)) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) x) (/ (+ (* l l) (* l l)) x))
8.0ms	x	@	0	((* 2 (/ (- x -1) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (/ 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))) (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))))) (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))))) (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x)) (+ (* l l) (* l l)) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) x) (/ (+ (* l l) (* l l)) x))
7.0ms	x	@	inf	((* 2 (/ (- x -1) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (/ 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))) (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))))) (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))))) (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x)) (+ (* l l) (* l l)) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) x) (/ (+ (* l l) (* l l)) x))

simplify275.0ms (2.2%)

Memory

-21.2MiB live, 489.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 882×	`lower-*.f64`
6 882×	`lower-*.f32`
4 720×	`lower-fma.f64`
4 720×	`lower-fma.f32`
2 870×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1584	51552
1	5702	50188
0	8086	47548

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

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

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

rewrite208.0ms (1.7%)

Memory

31.4MiB live, 345.2MiB allocated

Rules

5 636×	`lower-fma.f32`
5 630×	`lower-fma.f64`
4 738×	`lower-/.f32`
4 724×	`lower-/.f64`
3 072×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	528
0	87	503
1	355	461
2	3221	461
0	8574	455

Stop Event

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

Counts

21 → 964

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) #s(literal -1 binary64)))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(.f64 t (.f64 (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) 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 (fma.f64 x #s(literal 2 binary64) #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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) #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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t)))
(/.f64 (neg.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t)))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) 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 (fma.f64 x #s(literal 2 binary64) #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 (fma.f64 x #s(literal 2 binary64) #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 (fma.f64 x #s(literal 2 binary64) #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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
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(.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x)))
(pow.f64 (/.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (.f64 #s(literal 0 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x))) #s(literal 0 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x))) (neg.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (*.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (*.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)) x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)) x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) (pow.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x)) (+.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64)))) (neg.f64 (.f64 x (+.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)) (neg.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) (.f64 x (+.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal 0 binary64) (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 0 binary64) (*.f64 x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 0 binary64) (.f64 #s(literal 0 binary64) (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x))
(-.f64 (/.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)) (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x))
(-.f64 (/.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)) (neg.f64 x)) (/.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)) x) (/.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 0 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64)))

eval320.0ms (2.6%)

Memory: 15.2MiB live, 664.5MiB allocated
Compiler: Compiled 103 371 to 10 495 computations (89.8% saved)

prune280.0ms (2.3%)

Memory

8.3MiB live, 576.9MiB allocated

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	1 931	24	1 955
Fresh	7	9	16
Picked	3	2	5
Done	2	1	3
Total	1 943	36	1 979

Accuracy

94.1%

Counts

1 979 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.4%	(/.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (-.f64 (fma.f64 l l (.f64 l l)) (/.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)) (neg.f64 x))) x)))))
	3.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) l) l (.f64 (neg.f64 l) l)))))
	5.2%	(/.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 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))))
	2.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 #s(approx ( (- x -1) l) (.f64 x l)) l) (-.f64 x #s(literal 1 binary64))) (.f64 l l)))))
	7.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (.f64 l l) (.f64 l l))) x (.f64 (.f64 l l) #s(literal 2 binary64))) (.f64 x x))) x)))))
	12.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 (.f64 l l) #s(literal 2 binary64))) x)))))
	12.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 #s(literal 2 binary64) (fma.f64 l l (/.f64 (.f64 l l) x)))) x)))))
	12.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) #s(approx (/ (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) x) (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x)))))))
	52.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t))))
	74.7%	(/.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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(approx (/ ( 2 (+ (* (* t t) 2) (* l l))) t) (.f64 (/.f64 (.f64 l l) t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
▶	82.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
	7.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.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)))
	80.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
	46.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (fma.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (/.f64 l x) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t))) t))))
	41.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) x)) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)))) (.f64 l l)))))
	5.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64)))))))
	82.6%	(/.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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
▶	82.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
▶	52.7%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (sqrt.f64 #s(literal 2 binary64)))
▶	82.5%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))
	7.8%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) (sqrt.f64 #s(literal 2 binary64)))
	81.1%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	80.7%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))
	37.6%	(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l)))) t)
	7.6%	(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 t 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 #s(literal 2 binary64)))
	81.5%	(.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)))
	82.4%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
✓	40.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (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))))))))
	2.9%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (fma.f64 (.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l))))))
	43.7%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (-.f64 (-.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (.f64 l l)) (/.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) x) (fma.f64 (.f64 t t) #s(literal 2 binary64) (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (.f64 l l) x))) x))))))
	44.0%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (-.f64 (-.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (.f64 l l)) (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (.f64 l l) x)) (-.f64 (neg.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)) x)) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))) x))))))
	3.7%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (-.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (*.f64 l l))))))
	6.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 l l))))))
▶	28.0%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64)))))))
✓	78.2%	#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))))
✓	79.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 1 719 to 1 148 computations (33.2% saved)

simplify188.0ms (1.5%)

Memory

19.3MiB live, 206.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	256	(fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
cost-diff	384	(fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))
cost-diff	384	(fma.f64 (.f64 t t) #s(literal 2 binary64) (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l))))
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)
cost-diff	0	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))
cost-diff	0	(/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	(*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)
cost-diff	0	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))
cost-diff	0	(/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
cost-diff	0	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64)))))
cost-diff	0	(sqrt.f64 #s(approx (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64))))))
cost-diff	0	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64)))))))
cost-diff	128	(.f64 (.f64 t t) (-.f64 x #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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))

Rules

22 290×	`lower-fma.f32`
22 280×	`lower-fma.f64`
5 020×	`lower-+.f64`
5 020×	`lower-+.f32`
3 642×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	844
0	91	828
1	171	792
2	342	780
3	755	778
4	2984	778
5	7413	778
0	8095	768

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

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

localize206.0ms (1.7%)

Memory

-16.9MiB live, 276.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.484375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	0.8795700195368841	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	11.851566024529918	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
accuracy	27.17457169924089	(/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) t))
accuracy	0.3969224813753876	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.45703125	(*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)
accuracy	0.484375	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy	11.034214563621765	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))
accuracy	0.34375	(/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
accuracy	0.45703125	(*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)
accuracy	0.8795700195368841	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	11.034214563621765	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))
accuracy	7.36827872229519	(.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64)))
accuracy	9.323950805441045	#s(approx (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64)))))
accuracy	11.63880896096366	(/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64))))
accuracy	26.35941037111237	(sqrt.f64 #s(approx (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64))))))
accuracy	0.07421875	(/.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 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
accuracy	0.45703125	(*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)
accuracy	0.484375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	11.034214563621765	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))

Samples

101.0ms	174×	0	valid
52.0ms	77×	1	valid
5.0ms	5×	2	valid

Compiler

Compiled 652 to 52 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 29.0ms (28.8% of total)

ival-sqrt: 29.0ms (28.8% of total)

ival-div: 18.0ms (17.9% of total)

ival-add: 12.0ms (11.9% of total)

adjust: 6.0ms (6% of total)

ival-sub: 5.0ms (5% of total)

exact: 1.0ms (1% of total)

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

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

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

series149.0ms (1.2%)

Memory

-21.7MiB live, 165.6MiB allocated

Counts

21 → 612

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	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))) (* (* t t) (- x -1)) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))))) (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))))) (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (* (/ 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 2) 2) (- x 1))) t) (/ 1 (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2)))) (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (+ (* l l) (+ (* (* t t) 2) (* l l))) (+ (* (/ (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (* (* x (sqrt 2)) t)) 1/2) (* (sqrt 2) t)) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ (- x 1) (* (* t t) (- x -1))) (* t (sqrt 2)) (/ (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (* (* x (sqrt 2)) t)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
19.0ms	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))) (* (* t t) (- x -1)) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))))) (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))))) (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (* (/ 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 2) 2) (- x 1))) t) (/ 1 (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2)))) (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (+ (* l l) (+ (* (* t t) 2) (* l l))) (+ (* (/ (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (* (* x (sqrt 2)) t)) 1/2) (* (sqrt 2) t)) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ (- x 1) (* (* t t) (- x -1))) (* t (sqrt 2)) (/ (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (* (* x (sqrt 2)) t)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
11.0ms	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))) (* (* t t) (- x -1)) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))))) (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))))) (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (* (/ 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 2) 2) (- x 1))) t) (/ 1 (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2)))) (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (+ (* l l) (+ (* (* t t) 2) (* l l))) (+ (* (/ (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (* (* x (sqrt 2)) t)) 1/2) (* (sqrt 2) t)) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ (- x 1) (* (* t t) (- x -1))) (* t (sqrt 2)) (/ (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (* (* x (sqrt 2)) t)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
7.0ms	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))) (* (* t t) (- x -1)) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))))) (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))))) (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (* (/ 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 2) 2) (- x 1))) t) (/ 1 (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2)))) (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (+ (* l l) (+ (* (* t t) 2) (* l l))) (+ (* (/ (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (* (* x (sqrt 2)) t)) 1/2) (* (sqrt 2) t)) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ (- x 1) (* (* t t) (- x -1))) (* t (sqrt 2)) (/ (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (* (* x (sqrt 2)) t)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
7.0ms	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))) (* (* t t) (- x -1)) (* t (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))))) (sqrt (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))))) (/ 2 (+ (* (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (* (/ 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 2) 2) (- x 1))) t) (/ 1 (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2)))) (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (+ (* l l) (+ (* (* t t) 2) (* l l))) (+ (* (/ (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (* (* x (sqrt 2)) t)) 1/2) (* (sqrt 2) t)) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ (- x 1) (* (* t t) (- x -1))) (* t (sqrt 2)) (/ (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (* (* x (sqrt 2)) t)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))

simplify325.0ms (2.6%)

Memory

42.7MiB live, 439.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 342×	`lower-*.f64`
6 342×	`lower-*.f32`
5 522×	`lower-fma.f64`
5 522×	`lower-fma.f32`
3 822×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1713	59042
1	6204	52397
0	8462	49518

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

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

rewrite574.0ms (4.6%)

Memory

-176.2MiB live, 273.9MiB allocated

Rules

6 578×	`lower-*.f32`
6 556×	`lower-*.f64`
5 354×	`lower-/.f32`
5 338×	`lower-/.f64`
3 798×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	564
0	91	551
1	371	521
2	2984	521
0	10673	521

Stop Event

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

Counts

21 → 624

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

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

eval229.0ms (1.8%)

Memory: 22.3MiB live, 359.3MiB allocated
Compiler: Compiled 90 246 to 5 436 computations (94% saved)

prune217.0ms (1.7%)

Memory

-2.5MiB live, 390.9MiB allocated

Pruning

39 alts after pruning (35 fresh and 4 done)

	Pruned	Kept	Total
New	1 400	15	1 415
Fresh	8	20	28
Picked	4	1	5
Done	0	3	3
Total	1 412	39	1 451

Accuracy

94.1%

Counts

1 451 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.4%	(/.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (-.f64 (fma.f64 l l (.f64 l l)) (/.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)) (neg.f64 x))) x)))))
	3.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) l) l (.f64 (neg.f64 l) l)))))
	5.2%	(/.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 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))))
	2.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 #s(approx ( (- x -1) l) (.f64 x l)) l) (-.f64 x #s(literal 1 binary64))) (.f64 l l)))))
	7.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (.f64 l l) (.f64 l l))) x (.f64 (.f64 l l) #s(literal 2 binary64))) (.f64 x x))) x)))))
	12.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 (.f64 l l) #s(literal 2 binary64))) x)))))
	12.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 #s(literal 2 binary64) (fma.f64 l l (/.f64 (.f64 l l) x)))) x)))))
	12.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) #s(approx (/ (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) x) (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x)))))))
	52.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t))))
✓	82.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
	7.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.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)))
	3.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (sqrt.f64 (.f64 (.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))))
	46.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (fma.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (/.f64 l x) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t))) t))))
	41.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) x)) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)))) (.f64 l l)))))
	5.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64)))))))
	82.6%	(/.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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
	7.7%	(/.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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	80.9%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t)))
	7.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (.f64 (fma.f64 (.f64 (/.f64 t (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (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))) l)))
	82.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
	74.3%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(approx (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (.f64 (.f64 l l) #s(literal 2 binary64))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (sqrt.f64 #s(literal 2 binary64)))
	7.8%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) (sqrt.f64 #s(literal 2 binary64)))
	5.4%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (* (* x (sqrt 2)) t)) 1/2) (* (sqrt 2) t)) (/.f64 (/.f64 (.f64 l l) t) (.f64 x (sqrt.f64 #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
	37.6%	(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l)))) t)
	33.9%	(.f64 (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) t) (*.f64 (-.f64 x #s(literal -1 binary64)) t)))) t)
	81.5%	(.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)))
	82.4%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
✓	40.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (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))))))))
	43.7%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (-.f64 (-.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (.f64 l l)) (/.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) x) (fma.f64 (.f64 t t) #s(literal 2 binary64) (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (.f64 l l) x))) x))))))
	6.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 l l))))))
	5.1%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal -2 binary64)) x) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))))
	15.4%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) t) t) (-.f64 x #s(literal -1 binary64)))))))
	28.0%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) t) t)))))
	3.0%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (* (* t t) (- x -1)) (*.f64 t t))))))
	38.3%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
	3.2%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))))))
	43.1%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) #s(approx (/ (- x 1) (* (* t t) (- x -1))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))))
✓	78.2%	#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))))
✓	79.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 2 943 to 1 095 computations (62.8% saved)

regimes147.0ms (1.2%)

Memory

-4.0MiB live, 209.9MiB allocated

Counts

82 → 3

Calls

Call 1

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

(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (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:

27.0ms	x
25.0ms	(*.f64 l l)
23.0ms	t
23.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
22.0ms	l

Results

Accuracy	Segments	Branch
82.7%	1	`x`
82.7%	1	`l`
87.9%	3	`t`
82.7%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
82.7%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
82.7%	1	`(*.f64 l l)`

Compiler

Compiled 40 to 38 computations (5% saved)

regimes26.0ms (0.2%)

Memory

-3.7MiB live, 34.2MiB allocated

Counts

73 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (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:

22.0ms

Results

Accuracy	Segments	Branch
87.9%	3	`t`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes24.0ms (0.2%)

Memory

-5.8MiB live, 32.3MiB allocated

Counts

68 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (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:

20.0ms

Results

Accuracy	Segments	Branch
87.8%	3	`t`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes23.0ms (0.2%)

Memory

-7.0MiB live, 31.1MiB allocated

Counts

66 → 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))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) #s(approx (/ (- x 1) (* (* t t) (- x -1))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (* (* t t) (- x -1)) (*.f64 t t))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64)))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) t) t)))))
(.f64 (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) t) (*.f64 (-.f64 x #s(literal -1 binary64)) t)))) t)
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (-.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (*.f64 l l))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) t) t) (-.f64 x #s(literal -1 binary64)))))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (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 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(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 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 (.f64 l l) #s(literal 2 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)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (fma.f64 (.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal -1 binary64)) l) (.f64 (neg.f64 l) l))))))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) (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 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 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 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (sqrt.f64 (.f64 (.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.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)))
(/.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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (* (* x (sqrt 2)) t)) 1/2) (* (sqrt 2) t)) (/.f64 (/.f64 (.f64 l l) t) (.f64 x (sqrt.f64 #s(literal 2 binary64))))))) (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))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 #s(approx ( (- x -1) l) (.f64 x l)) l) (-.f64 x #s(literal 1 binary64))) (.f64 l l)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (.f64 (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 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) l) l (.f64 (neg.f64 l) l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l)))) 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (.f64 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 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 #s(literal 2 binary64) (fma.f64 l l (/.f64 (.f64 l l) x)))) x)))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) (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 (/.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)))
#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 (.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)))
(.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 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) #s(approx (/ (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) x) (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) 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) (+.f64 (/.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)))
(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 t 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 #s(literal 2 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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (neg.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (.f64 l l)) x))) (neg.f64 x))))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(approx (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (.f64 (.f64 l l) #s(literal 2 binary64))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
(/.f64 (.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 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(approx (/ ( 2 (+ (* (* t t) 2) (* l l))) t) (.f64 (/.f64 (.f64 l l) t) #s(literal 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)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (.f64 l l) (.f64 l l))) x (.f64 (.f64 l l) #s(literal 2 binary64))) (.f64 x x))) x)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) t) t)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (-.f64 (fma.f64 l l (.f64 l l)) (/.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)) (neg.f64 x))) x)))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (sqrt.f64 #s(literal 2 binary64)))

Outputs

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

(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.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
85.2%	2	`t`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes21.0ms (0.2%)

Memory

30.2MiB live, 30.2MiB allocated

Counts

63 → 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))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) #s(approx (/ (- x 1) (* (* t t) (- x -1))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (* (* t t) (- x -1)) (*.f64 t t))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64)))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) t) t)))))
(.f64 (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) t) (*.f64 (-.f64 x #s(literal -1 binary64)) t)))) t)
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (-.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (*.f64 l l))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) t) t) (-.f64 x #s(literal -1 binary64)))))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (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 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(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 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 (.f64 l l) #s(literal 2 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)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (fma.f64 (.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal -1 binary64)) l) (.f64 (neg.f64 l) l))))))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) (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 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 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 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (sqrt.f64 (.f64 (.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.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)))
(/.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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (* (* x (sqrt 2)) t)) 1/2) (* (sqrt 2) t)) (/.f64 (/.f64 (.f64 l l) t) (.f64 x (sqrt.f64 #s(literal 2 binary64))))))) (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))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 #s(approx ( (- x -1) l) (.f64 x l)) l) (-.f64 x #s(literal 1 binary64))) (.f64 l l)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (.f64 (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 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) l) l (.f64 (neg.f64 l) l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l)))) 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (.f64 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 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 #s(literal 2 binary64) (fma.f64 l l (/.f64 (.f64 l l) x)))) x)))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) (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 (/.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)))
#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 (.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)))
(.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 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) #s(approx (/ (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) x) (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) 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) (+.f64 (/.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)))
(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 t 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 #s(literal 2 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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (neg.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (.f64 l l)) x))) (neg.f64 x))))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(approx (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (.f64 (.f64 l l) #s(literal 2 binary64))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
(/.f64 (.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 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(approx (/ ( 2 (+ (* (* t t) 2) (* l l))) t) (.f64 (/.f64 (.f64 l l) t) #s(literal 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)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 x (.f64 l l) (.f64 l l))) x (.f64 (.f64 l l) #s(literal 2 binary64))) (.f64 x x))) x)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) t) t)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))))

Outputs

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

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

18.0ms

Results

Accuracy	Segments	Branch
85.2%	2	`t`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes22.0ms (0.2%)

Memory

-13.1MiB live, 29.1MiB allocated

Counts

59 → 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))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) #s(approx (/ (- x 1) (* (* t t) (- x -1))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (* (* t t) (- x -1)) (*.f64 t t))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64)))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) t) t)))))
(.f64 (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) t) (*.f64 (-.f64 x #s(literal -1 binary64)) t)))) t)
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (-.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (*.f64 l l))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) t) t) (-.f64 x #s(literal -1 binary64)))))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (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 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(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 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 (.f64 l l) #s(literal 2 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)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (fma.f64 (.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal -1 binary64)) l) (.f64 (neg.f64 l) l))))))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) (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 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 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 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (sqrt.f64 (.f64 (.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.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)))
(/.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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (* (* x (sqrt 2)) t)) 1/2) (* (sqrt 2) t)) (/.f64 (/.f64 (.f64 l l) t) (.f64 x (sqrt.f64 #s(literal 2 binary64))))))) (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))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 #s(approx ( (- x -1) l) (.f64 x l)) l) (-.f64 x #s(literal 1 binary64))) (.f64 l l)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (.f64 (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 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) l) l (.f64 (neg.f64 l) l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l)))) 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (.f64 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 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 #s(literal 2 binary64) (fma.f64 l l (/.f64 (.f64 l l) x)))) x)))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) (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 (/.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)))
#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 (.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)))
(.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 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) #s(approx (/ (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) x) (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) 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) (+.f64 (/.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)))
(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 t 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 #s(literal 2 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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (neg.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (.f64 l l)) x))) (neg.f64 x))))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(approx (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (.f64 (.f64 l l) #s(literal 2 binary64))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
(/.f64 (.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 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))

Outputs

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
85.2%	2	`t`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes20.0ms (0.2%)

Memory

-11.3MiB live, 27.0MiB allocated

Counts

56 → 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))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) #s(approx (/ (- x 1) (* (* t t) (- x -1))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (* (* t t) (- x -1)) (*.f64 t t))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64)))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) t) t)))))
(.f64 (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) t) (*.f64 (-.f64 x #s(literal -1 binary64)) t)))) t)
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (-.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (*.f64 l l))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) t) t) (-.f64 x #s(literal -1 binary64)))))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (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 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(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 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 (.f64 l l) #s(literal 2 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)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (fma.f64 (.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal -1 binary64)) l) (.f64 (neg.f64 l) l))))))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) (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 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 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 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (sqrt.f64 (.f64 (.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.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)))
(/.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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (* (* x (sqrt 2)) t)) 1/2) (* (sqrt 2) t)) (/.f64 (/.f64 (.f64 l l) t) (.f64 x (sqrt.f64 #s(literal 2 binary64))))))) (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))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 #s(approx ( (- x -1) l) (.f64 x l)) l) (-.f64 x #s(literal 1 binary64))) (.f64 l l)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (.f64 (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 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) l) l (.f64 (neg.f64 l) l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l)))) 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 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (.f64 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 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 #s(literal 2 binary64) (fma.f64 l l (/.f64 (.f64 l l) x)))) x)))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) (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 (/.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)))
#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 (.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)))
(.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 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) #s(approx (/ (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) x) (.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) 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) (+.f64 (/.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)))
(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 t 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 #s(literal 2 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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (neg.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (.f64 l l)) x))) (neg.f64 x))))))

Outputs

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
84.5%	2	`t`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

23 → 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))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) #s(approx (/ (- x 1) (* (* t t) (- x -1))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (* (* t t) (- x -1)) (*.f64 t t))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64)))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) t) t)))))
(.f64 (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) t) (*.f64 (-.f64 x #s(literal -1 binary64)) t)))) t)
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (-.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (*.f64 l l))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) t) t) (-.f64 x #s(literal -1 binary64)))))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (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 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1))))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(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 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 (.f64 l l) #s(literal 2 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)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (neg l) l) (* (+ (* (* t t) 2) (* l l)) (/ (- x -1) (- x 1)))) (fma.f64 (.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal -1 binary64)) l) (.f64 (neg.f64 l) l))))))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))

Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
84.5%	2	`t`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes33.0ms (0.3%)

Memory

6.9MiB live, 45.5MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

6.0ms	(*.f64 l l)
5.0ms	t
5.0ms	l
5.0ms	x
5.0ms	(/.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
82.7%	1	`l`
82.7%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
82.7%	1	`x`
82.7%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
82.7%	1	`(*.f64 l l)`
82.7%	1	`t`

Compiler

Compiled 40 to 38 computations (5% saved)

regimes13.0ms (0.1%)

Memory

-18.1MiB live, 20.7MiB allocated

Accuracy

Total -48.9b remaining (-370.4%)

Threshold costs -48.9b (-370.4%)

Counts

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

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:

3.0ms	t
2.0ms	l
2.0ms	x
2.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
2.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
79.4%	1	`l`
79.4%	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))))`
79.4%	1	`(*.f64 l l)`
79.4%	1	`x`
79.4%	1	`t`
79.4%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 40 to 38 computations (5% saved)

bsearch70.0ms (0.6%)

Memory

7.1MiB live, 85.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	4.3205938981778185e-93	2.5102803623400186e-89
36.0ms	1.8353188860979283e-162	2.2883900588058497e-158

Samples

23.0ms	113×	1	valid
14.0ms	138×	0	valid
10.0ms	47×	1	invalid
1.0ms	5×	2	valid
1.0ms	11×	0	invalid
1.0ms	2×	2	invalid

Compiler

Compiled 1 390 to 712 computations (48.8% saved)

Precisions

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

ival-mult: 13.0ms (33.9% of total)

ival-sqrt: 6.0ms (15.6% of total)

adjust: 5.0ms (13% of total)

ival-div: 5.0ms (13% of total)

ival-add: 5.0ms (13% of total)

ival-sub: 4.0ms (10.4% 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

5.1MiB live, 5.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.3205938981778185e-93	2.5102803623400186e-89
1.0ms	1.8353188860979283e-162	2.2883900588058497e-158

Compiler

Compiled 1 198 to 680 computations (43.2% saved)

bsearch3.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.3205938981778185e-93	2.5102803623400186e-89
1.0ms	1.8353188860979283e-162	2.2883900588058497e-158

Compiler

Compiled 958 to 600 computations (37.4% saved)

bsearch36.0ms (0.3%)

Memory

3.1MiB live, 41.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	6.964987066937541e-123	6.199496998766592e-120

Samples

13.0ms	68×	1	valid
6.0ms	58×	0	valid
5.0ms	17×	1	invalid
1.0ms	7×	0	invalid
1.0ms	2×	2	invalid
1.0ms	2×	2	valid

Compiler

Compiled 414 to 296 computations (28.5% saved)

Precisions

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

adjust: 5.0ms (25.3% of total)

ival-mult: 5.0ms (25.3% of total)

ival-div: 3.0ms (15.2% of total)

ival-sqrt: 3.0ms (15.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.964987066937541e-123	6.199496998766592e-120

Compiler

Compiled 382 to 288 computations (24.6% saved)

bsearch29.0ms (0.2%)

Memory

-4.2MiB live, 34.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.3658052608859633e-117	9.716639623111658e-116

Samples

8.0ms	45×	1	valid
8.0ms	63×	0	valid
3.0ms	16×	1	invalid
1.0ms	4×	2	valid
0.0ms	3×	0	invalid

Compiler

Compiled 338 to 262 computations (22.5% saved)

Precisions

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

ival-mult: 4.0ms (27.3% of total)

ival-sub: 2.0ms (13.7% of total)

adjust: 2.0ms (13.7% of total)

ival-div: 2.0ms (13.7% of total)

ival-sqrt: 2.0ms (13.7% of total)

ival-add: 2.0ms (13.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch40.0ms (0.3%)

Memory

4.9MiB live, 45.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	4.551548110228801e-234	1.0330000349141881e-232

Samples

12.0ms	67×	1	valid
7.0ms	19×	2	valid
5.0ms	25×	1	invalid
3.0ms	26×	0	valid
1.0ms	5×	2	invalid
1.0ms	8×	0	invalid

Compiler

Compiled 261 to 234 computations (10.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

adjust: 6.0ms (26% of total)

ival-mult: 5.0ms (21.6% of total)

ival-sub: 3.0ms (13% of total)

ival-div: 3.0ms (13% of total)

ival-sqrt: 3.0ms (13% of total)

ival-add: 3.0ms (13% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.551548110228801e-234	1.0330000349141881e-232

Compiler

Compiled 219 to 206 computations (5.9% saved)

simplify86.0ms (0.7%)

Memory

-24.5MiB live, 53.0MiB allocated

Algorithm

1×	egg-herbie

Rules

554×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
350×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
322×	`neg-mul-1-binary64-*.f64-neg.f64`
290×	`neg-sub0-binary64--.f64-neg.f64`
240×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	1131
1	174	1131
2	201	1129
3	240	1129
4	295	1129
5	364	1129
6	427	1129
7	540	1129
8	674	1129
9	800	1129
10	940	1129
11	1103	1129
12	1276	1129
13	1472	1129
14	1646	1129
15	1779	1129
16	1835	1129
17	1846	1129
18	1846	1129

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (if (<=.f64 t #s(literal 7167183174968973/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 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 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (if (<=.f64 t #s(literal 7167183174968973/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 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 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (if (<=.f64 t #s(literal 7167183174968973/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 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 2216858109101601/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.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 2216858109101601/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(approx (/ ( 2 (+ (* (* t t) 2) (* l l))) t) (.f64 (/.f64 (.f64 l l) t) #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.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 248431204593225/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(approx (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (.f64 (.f64 l l) #s(literal 2 binary64))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) 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 (-.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 1789931494904685/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 (.f64 l l) #s(literal 2 binary64))) x))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 1789931494904685/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 (.f64 l l) #s(literal 2 binary64))) x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Outputs
(if (<=.f64 t #s(literal 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (if (<=.f64 t #s(literal 7167183174968973/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 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 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal 2 binary64)) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (if (<=.f64 t #s(literal 7167183174968973/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 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 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x) (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)))) (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 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (if (<=.f64 t #s(literal 7167183174968973/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 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 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal 2 binary64)) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (if (<=.f64 t #s(literal 7167183174968973/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 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 (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))) 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 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (if (<=.f64 t #s(literal 7167183174968973/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 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 1360317208102075/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568 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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal 2 binary64)) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (if (<=.f64 t #s(literal 7167183174968973/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 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 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x) (/.f64 (.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 2216858109101601/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.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 2216858109101601/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal 2 binary64)) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.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 2216858109101601/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 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 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(approx (/ ( 2 (+ (* (* t t) 2) (* l l))) t) (.f64 (/.f64 (.f64 l l) t) #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.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 248431204593225/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(approx (+ (* (* t t) 2) (+ (* l l) (+ (* (* t t) 2) (* l l)))) (.f64 (.f64 l l) #s(literal 2 binary64))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) 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 (-.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 1789931494904685/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 (.f64 l l) #s(literal 2 binary64))) x))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 1789931494904685/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 (.f64 l l) #s(literal 2 binary64))) x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 t #s(literal 1789931494904685/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 #s(approx (- (+ (* l l) (* l l)) (/ (+ (+ (* l l) (* l l)) (/ (+ (* l l) (* l l)) x)) (neg x))) (.f64 (.f64 l l) #s(literal 2 binary64))) x))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* t (sqrt 2))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

soundness1.1s (8.7%)

Memory

34.7MiB live, 771.9MiB allocated

Rules

10 416×	`lower-fma.f64`
10 416×	`lower-fma.f32`
9 668×	`lower-*.f64`
9 668×	`lower-*.f32`
6 882×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1713	59042
1	6204	52397
0	8462	49518
0	1584	51552
1	5702	50188
0	8086	47548
0	55	496
0	90	480
1	354	474
2	2874	471
0	9020	468
0	676	10349
1	2332	9162
0	8700	8754
0	56	528
0	87	503
1	355	461
2	3221	461
0	8574	455
0	1321	48782
1	4767	47417
0	8487	44354

Stop Event

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

Compiler

Compiled 962 to 465 computations (51.7% saved)

preprocess150.0ms (1.2%)

Memory: 10.2MiB live, 201.1MiB allocated
Remove: (abs l)
Compiler: Compiled 2 536 to 828 computations (67.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze343.0ms (2.8%)

sample3.0s (24.2%)

explain425.0ms (3.4%)

preprocess342.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify347.0ms (2.8%)

localize117.0ms (0.9%)

series87.0ms (0.7%)

simplify203.0ms (1.6%)

rewrite257.0ms (2.1%)

eval85.0ms (0.7%)

prune118.0ms (1%)

simplify194.0ms (1.6%)

localize250.0ms (2%)

series215.0ms (1.7%)

simplify645.0ms (5.2%)

rewrite179.0ms (1.4%)

eval203.0ms (1.6%)

prune146.0ms (1.2%)

simplify127.0ms (1%)

localize199.0ms (1.6%)

series126.0ms (1%)

simplify275.0ms (2.2%)

rewrite208.0ms (1.7%)

eval320.0ms (2.6%)

prune280.0ms (2.3%)

simplify188.0ms (1.5%)

localize206.0ms (1.7%)

series149.0ms (1.2%)

simplify325.0ms (2.6%)

rewrite574.0ms (4.6%)

eval229.0ms (1.8%)

prune217.0ms (1.7%)

regimes147.0ms (1.2%)

regimes26.0ms (0.2%)

regimes24.0ms (0.2%)

regimes23.0ms (0.2%)

regimes21.0ms (0.2%)

regimes22.0ms (0.2%)

regimes20.0ms (0.2%)

regimes9.0ms (0.1%)

regimes33.0ms (0.3%)

regimes13.0ms (0.1%)

bsearch70.0ms (0.6%)

bsearch4.0ms (0%)

bsearch3.0ms (0%)

bsearch36.0ms (0.3%)

bsearch2.0ms (0%)

bsearch29.0ms (0.2%)

bsearch40.0ms (0.3%)

bsearch1.0ms (0%)

simplify86.0ms (0.7%)

soundness1.1s (8.7%)

preprocess150.0ms (1.2%)

end0.0ms (0%)

Profiling