Metrics for Toniolo and Linder, Equation (7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze378.0ms (2.4%)

Memory

21.1MiB live, 612.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 29 to 20 computations (31% saved)

sample2.9s (18.3%)

Memory

-94.3MiB live, 3 848.6MiB allocated

Samples

612.0ms	2 731×	1	valid
604.0ms	5 351×	0	valid
594.0ms	2 720×	0	invalid
333.0ms	1 617×	1	invalid
54.0ms	174×	2	valid
30.0ms	93×	2	invalid

Precisions

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

ival-mult: 717.0ms (40% of total)

ival-sqrt: 269.0ms (15% of total)

ival-div: 226.0ms (12.6% of total)

ival-sub: 200.0ms (11.2% of total)

ival-add: 185.0ms (10.3% of total)

adjust: 167.0ms (9.3% of total)

exact: 12.0ms (0.7% of total)

ival-true: 10.0ms (0.6% of total)

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

Bogosity

explain257.0ms (1.6%)

Memory

25.0MiB live, 352.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
125	-	-	`(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)))`
99	-	-	`(-.f64 (.f64 (/.f64 (+.f64 x #s(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	-	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
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	-	-	`#s(literal 1 binary64)`
0	-	-	`t`
0	-	-	`(.f64 #s(literal 2 binary64) (.f64 t t))`
0	-	-	`(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(*.f64 l l)`
0	-	-	`(sqrt.f64 #s(literal 2 binary64))`
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	-	-	`(*.f64 t t)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	-	-	`l`
0	-	-	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`	oflow-rescue	104	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	104
↳	`(.f64 (/.f64 (+.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	121
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	88
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	121
↳	`(*.f64 t t)`	overflow	88
↳	`(*.f64 l l)`	overflow	114
`-.f64`	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	nan-rescue	57	0
↳	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`	overflow	121
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	88
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	121
↳	`(*.f64 t t)`	overflow	88
↳	`(*.f64 l l)`	overflow	57
↳	`(*.f64 l l)`	overflow	57
`-.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	42	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)))`	uflow-rescue	21	0
↳	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	underflow	21
↳	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`	underflow	15
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	47
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	15
↳	`(*.f64 t t)`	underflow	47
↳	`(*.f64 l l)`	underflow	136

Confusion

	Predicted +	Predicted -
+	183	0
-	1	72

Precision

0.9945652173913043

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	183	0	0
-	1	0	72

Precision?

0.9945652173913043

Recall?

1.0

Freqs

test

number	freq
0	72
1	144
2	40

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms	338×	0	valid
38.0ms	164×	1	valid
3.0ms	10×	2	valid

Compiler

Compiled 296 to 58 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 17.0ms (31.7% of total)

ival-div: 8.0ms (14.9% of total)

ival-sqrt: 8.0ms (14.9% of total)

ival-add: 7.0ms (13.1% of total)

ival-sub: 6.0ms (11.2% of total)

adjust: 6.0ms (11.2% of total)

exact: 1.0ms (1.9% of total)

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

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

preprocess469.0ms (3%)

Memory

-23.3MiB live, 504.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs l)

(negabs t)

Compiler

Compiled 30 to 18 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.1%	(/.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))))

Status

Accuracy

Program

▶

31.1%

(/.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))))

Compiler

Compiled 30 to 18 computations (40% saved)

simplify426.0ms (2.7%)

Memory

-8.9MiB live, 422.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (0.6%)

Memory

23.9MiB live, 96.8MiB 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	0.4609375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	20.88813999224189	(-.f64 (.f64 (/.f64 (+.f64 x #s(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	29.228207633722757	(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

46.0ms	169×	0	valid
35.0ms	82×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 21.0ms (49.5% of total)

ival-mult: 7.0ms (16.5% of total)

ival-sqrt: 4.0ms (9.4% of total)

ival-sub: 3.0ms (7.1% of total)

adjust: 3.0ms (7.1% of total)

ival-add: 3.0ms (7.1% of total)

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

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

exact: 0.0ms (0% of total)

series142.0ms (0.9%)

Memory

-30.8MiB live, 111.8MiB 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 (* 2 (pow t 2)) (taylor 0 l) (#s(alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (patch (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow t 2)) (pow l 2)) (taylor 0 l) (#s(alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (patch (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow t 2)) (pow l 2)) (taylor 0 l) (#s(alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (patch (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow t 2)) (pow l 2)) (taylor 0 l) (#s(alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (patch (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (pow l 2) (taylor inf l) (#s(alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (patch (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (taylor inf l) (#s(alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (patch (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (taylor inf l) (#s(alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (patch (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (taylor inf l) (#s(alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (patch (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (pow l 2) (taylor -inf l) (#s(alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (patch (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
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#s(alt (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (taylor inf t) (#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 t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2)))) (taylor inf t) (#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>) () ())) ())
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Calls

36 calls:

Time	Variable		Point	Expression
33.0ms	t	@	inf	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
22.0ms	x	@	0	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
20.0ms	t	@	0	(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
4.0ms	x	@	-inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
4.0ms	t	@	0	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))

simplify540.0ms (3.4%)

Memory

9.0MiB live, 439.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

rewrite1.0s (6.6%)

Memory

-7.5MiB live, 270.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 417

Calls

Call 1

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

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

eval124.0ms (0.8%)

Memory: 14.7MiB live, 61.1MiB allocated
Compiler: Compiled 33 915 to 2 340 computations (93.1% saved)

prune160.0ms (1%)

Memory

9.8MiB live, 87.7MiB allocated

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	537	24	561
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	538	24	562

Accuracy

92.1%

Counts

562 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	13.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (*.f64 l l)))))
	12.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
	25.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 l l)))))
	7.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l)))))
	9.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 l l)))))
	20.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
▶	25.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
	31.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))))
	25.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
	49.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))))
	3.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
	49.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))) x)) x)))))
	49.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))))
	37.9%	(/.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 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))
	47.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
▶	77.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
	76.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	4.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 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)))))))
▶	31.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
	4.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
	76.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
	6.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))))))
	3.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))))
▶	75.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 1 472 to 840 computations (42.9% saved)

simplify237.0ms (1.5%)

Memory

7.1MiB live, 128.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

14 680×	`lower-fma.f32`
14 670×	`lower-fma.f64`
3 620×	`lower-*.f32`
3 602×	`lower-*.f64`
2 046×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	584
0	95	554
1	177	551
2	407	551
3	1398	551
4	6316	551
0	8401	551

Stop Event

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

Calls

Call 1

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

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

localize506.0ms (3.2%)

Memory

-8.8MiB live, 382.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	8.639586370645633	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal -1 binary64))))
accuracy	13.302777580854956	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64)))
accuracy	29.228207633722757	(sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (.f64 l l))))
accuracy	35.06273348613932	(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (.f64 l l)))
accuracy	0.4609375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	13.310590080854956	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)))
accuracy	26.102794972838314	(fma.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l)))
accuracy	29.228207633722757	(sqrt.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l))))
accuracy	0.13671875	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
accuracy	0.7913117924261224	(/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))
accuracy	20.888059316537234	(fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))
accuracy	28.30098796259024	(sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))))
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 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	15.152842008519201	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	0.07421875	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
accuracy	0.4609375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	0.4609375	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy	14.212209682356919	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))

Samples

231.0ms	82×	1	valid
162.0ms	169×	0	valid
5.0ms	5×	2	valid

Compiler

Compiled 582 to 54 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 324.0ms

ival-sqrt: 166.0ms (51.2% of total)

ival-mult: 66.0ms (20.4% of total)

ival-div: 51.0ms (15.7% of total)

ival-add: 26.0ms (8% of total)

adjust: 9.0ms (2.8% of total)

ival-sub: 5.0ms (1.5% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series204.0ms (1.3%)

Memory

-3.4MiB live, 196.4MiB allocated

Counts

21 → 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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (patch (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))) (patch #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (patch #s(approx (/ ( (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 1/2 binary64)) (patch (sqrt.f64 #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))))) (patch (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))) (patch (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))) (patch (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))) #<representation binary64>) () ())
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Outputs
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#s(alt (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (* x (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* 2 (pow t 2)) (pow l 2))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* x (- (* -1 (* x (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* 2 (pow t 2)) (pow l 2))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (pow l 2)))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 2 (/ (pow t 2) (pow x 2))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) (pow x 2)) (pow l 2)))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 2 (/ (pow t 2) (pow x 3))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) (pow x 3)) (pow l 2)))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2))))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (/ (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (pow l 2)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) x)) (+ (* 2 (pow t 2)) (pow l 2))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (patch (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())

Calls

150 calls:

Time	Variable		Point	Expression
24.0ms	t	@	0	(/ (* (sqrt 2) t) (sqrt (+ (* (+ (* x x) -1) (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)))) (neg (* l l)))))
15.0ms	x	@	-inf	(sqrt (/ 2 (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))))
11.0ms	t	@	inf	(/ (* (sqrt 2) t) (sqrt (+ (* (+ (* x x) -1) (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)))) (neg (* l l)))))
6.0ms	l	@	inf	(/ (* (sqrt 2) t) (sqrt (+ (* (+ (* x x) -1) (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)))) (neg (* l l)))))
5.0ms	x	@	0	(+ (* (+ (* x x) -1) (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)))) (neg (* l l)))

simplify488.0ms (3.1%)

Memory

12.6MiB live, 846.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 716×	`lower-*.f64`
6 716×	`lower-*.f32`
5 642×	`lower-fma.f64`
5 642×	`lower-fma.f32`
3 594×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1808	53451
1	6353	52427
0	8189	49476

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

Calls

Call 1

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

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

rewrite374.0ms (2.4%)

Memory

-10.2MiB live, 862.2MiB allocated

Rules

4 700×	`lower-*.f32`
4 684×	`lower-*.f64`
3 682×	`lower-fma.f32`
3 672×	`lower-fma.f64`
3 522×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	422
0	95	385
1	383	373
2	3480	373
0	8823	373

Stop Event

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

Counts

21 → 1 379

Calls

Call 1

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

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

eval324.0ms (2%)

Memory: 46.8MiB live, 820.9MiB allocated
Compiler: Compiled 170 433 to 6 052 computations (96.4% saved)

prune295.0ms (1.9%)

Memory

-6.1MiB live, 606.1MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	2 017	18	2 035
Fresh	14	5	19
Picked	3	2	5
Done	0	0	0
Total	2 034	25	2 059

Accuracy

93.2%

Counts

2 059 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx ( (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
▶	2.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx ( (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (/.f64 (.f64 l l) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (*.f64 l l)))))
	9.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 l l)))))
▶	3.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
	49.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (+ (* x x) -1) (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)))) (neg (* l l))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x) (.f64 t t))))))
✓	77.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
▶	77.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
	4.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 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)))))))
	11.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 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)))))))
	77.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
	77.5%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
	77.4%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))))
▶	3.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))))))
	6.2%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (*.f64 l l))))))
	49.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (.f64 l l) x))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))))))
	9.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))))
	5.5%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 x (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))))) (.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l)) (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l)))) (/.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l)))))))
	25.9%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 t t))))))
	37.4%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
	11.5%	(.f64 t #s(approx (sqrt (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* 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 (sqrt.f64 #s(literal 2 binary64)) l))))
	4.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
	76.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
	11.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
✓	75.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
▶	76.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 1 239 to 721 computations (41.8% saved)

simplify198.0ms (1.2%)

Memory

11.5MiB live, 326.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx ( (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (/.f64 (.f64 l l) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (*.f64 l l)))))
cost-diff	128	(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
cost-diff	128	(*.f64 l (+.f64 #s(literal 1 binary64) x))
cost-diff	320	(-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
cost-diff	0	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))))))
cost-diff	448	(fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))
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 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))

Rules

14 278×	`lower-fma.f32`
14 272×	`lower-fma.f64`
3 202×	`lower-*.f32`
3 186×	`lower-*.f64`
2 118×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	741
0	99	737
1	198	711
2	380	711
3	887	711
4	2063	711
5	5382	711
0	8129	670

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

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

localize256.0ms (1.6%)

Memory

-18.3MiB live, 459.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	13.679382741393086	(/.f64 (.f64 l l) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
accuracy	27.276490320923276	#s(approx (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (/.f64 (.f64 l l) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
accuracy	29.228207633722757	(sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (/.f64 (.f64 l l) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (*.f64 l l))))
accuracy	35.06273348613932	(fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (/.f64 (.f64 l l) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (*.f64 l l)))
accuracy	4.820485246171113	(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))
accuracy	29.228207633722757	(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))
accuracy	34.23828511994504	(-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))
accuracy	43.038078969351794	#s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))
accuracy	0.7913117924261224	(/.f64 #s(literal 2 binary64) #s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))))
accuracy	28.30098796259024	(sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
accuracy	34.22991954792108	(fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))
accuracy	43.038078969351794	#s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))
accuracy	15.152842008519201	#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 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
accuracy	0.45703125	(.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
accuracy	0.4609375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	14.212209682356919	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))

Samples

115.0ms	160×	1	valid
41.0ms	79×	0	valid
20.0ms	17×	2	valid

Compiler

Compiled 563 to 52 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-mult: 50.0ms (36.5% of total)

ival-div: 28.0ms (20.4% of total)

ival-add: 19.0ms (13.9% of total)

adjust: 15.0ms (10.9% of total)

ival-sqrt: 13.0ms (9.5% of total)

ival-sub: 11.0ms (8% of total)

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

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

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

exact: 0.0ms (0% of total)

series86.0ms (0.5%)

Memory

2.1MiB live, 159.4MiB allocated

Counts

24 → 684

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

Calls

171 calls:

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

simplify467.0ms (2.9%)

Memory

23.0MiB live, 770.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 950×	`lower-*.f64`
6 950×	`lower-*.f32`
5 596×	`lower-fma.f64`
5 596×	`lower-fma.f32`
3 498×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1885	54486
1	6604	53343
0	8248	50508

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 683

Calls

Call 1

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

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

rewrite307.0ms (1.9%)

Memory

23.7MiB live, 524.0MiB allocated

Rules

5 802×	`lower-*.f32`
5 786×	`lower-*.f64`
5 308×	`lower-fma.f32`
5 302×	`lower-fma.f64`
4 166×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	633
0	99	608
1	412	572
2	3307	570
0	9424	541

Stop Event

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

Counts

24 → 748

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

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

eval302.0ms (1.9%)

Memory: -36.4MiB live, 533.0MiB allocated
Compiler: Compiled 106 198 to 5 454 computations (94.9% saved)

prune306.0ms (1.9%)

Memory

3.2MiB live, 483.6MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1 455	18	1 473
Fresh	12	6	18
Picked	4	1	5
Done	0	2	2
Total	1 471	27	1 498

Accuracy

93.3%

Counts

1 498 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (pow.f64 (pow.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 x l l) (+.f64 x #s(literal -1 binary64))) l))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	3.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx ( (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) #s(approx (/ (* l l) (* (+ x -1) (+ x -1))) (.f64 l l))) (neg.f64 (.f64 l l)))))
	3.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (fma.f64 x l l)) (+.f64 x #s(literal -1 binary64))) (.f64 l l)))))
	15.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)))))
	49.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (+ (* x x) -1) (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)))) (neg (* l l))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x) (.f64 t t))))))
	8.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (exp.f64 (.f64 (log.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 x l l) (+.f64 x #s(literal -1 binary64))) l)))) #s(literal 1/2 binary64))))
✓	77.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
▶	77.8%	(/.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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t)))
	76.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)))))))
	11.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 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)))))))
	7.9%	(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 x l l) (+.f64 x #s(literal -1 binary64))) l))))) t)
	77.5%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))))
	2.1%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx ( (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (/.f64 (.f64 l l) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (*.f64 l l))))))
▶	3.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
▶	9.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))))
	15.0%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 (fma.f64 l l (*.f64 l l)) x))))))
▶	15.0%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 (+.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (/.f64 (.f64 l l) x))) (*.f64 l l)) x))))))
	5.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (-.f64 (neg.f64 (.f64 l l)) (.f64 l l)))))))
	15.6%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (neg.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (/.f64 (+.f64 (neg.f64 (-.f64 (neg.f64 (.f64 l l)) (.f64 l l))) (/.f64 (fma.f64 l l (.f64 l l)) x)) x)) x)))))))
	5.5%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 x (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))))) (.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l)) (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l)))) (/.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l)))))))
	25.9%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 t t))))))
▶	37.4%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
	11.5%	(.f64 t #s(approx (sqrt (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* 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 (sqrt.f64 #s(literal 2 binary64)) l))))
	11.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
	76.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
✓	75.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
✓	76.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 1 242 to 707 computations (43.1% saved)

simplify238.0ms (1.5%)

Memory

17.9MiB live, 284.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 (+.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (/.f64 (.f64 l l) x))) (*.f64 l l)) x))))))
cost-diff	192	(fma.f64 l l (/.f64 (*.f64 l l) x))
cost-diff	512	(+.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (/.f64 (.f64 l l) x))) (*.f64 l l))
cost-diff	1024	(+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (/.f64 (.f64 l l) x)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
cost-diff	0	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))))
cost-diff	128	(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
cost-diff	896	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) #s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
cost-diff	0	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
cost-diff	128	(.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 t t))
cost-diff	0	#s(approx (/ 2 (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
cost-diff	0	(sqrt.f64 #s(approx (/ 2 (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))
cost-diff	0	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
cost-diff	0	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t))
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 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t)))

Rules

10 752×	`lower-fma.f32`
10 748×	`lower-fma.f64`
2 944×	`lower-*.f32`
2 928×	`lower-*.f64`
2 020×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1008
0	111	954
1	199	931
2	350	887
3	669	885
4	1296	885
5	2605	885
6	4989	885
7	7967	885
0	8637	849

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

localize461.0ms (2.9%)

Memory

26.1MiB live, 551.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.574043099287776	(/.f64 (+.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (/.f64 (.f64 l l) x))) (*.f64 l l)) x)
accuracy	7.576597002018472	(/.f64 (*.f64 l l) x)
accuracy	28.30098796259024	(sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 (+.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (/.f64 (.f64 l l) x))) (*.f64 l l)) x)))))
accuracy	43.038078969351794	#s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 (+.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (/.f64 (.f64 l l) x))) (*.f64 l l)) x)))
accuracy	7.577949349286811	(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
accuracy	28.30098796259024	(sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
accuracy	43.038078969351794	#s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
accuracy	58.252997097960126	(+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
accuracy	7.577949349286811	(.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
accuracy	28.30098796259024	(sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
accuracy	43.038078969351794	#s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
accuracy	58.17888473511465	(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
accuracy	0.13671875	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
accuracy	0.5681038880958185	(/.f64 #s(literal 1 binary64) (*.f64 t t))
accuracy	13.70270230484762	#s(approx (/ 2 (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
accuracy	28.30098796259024	(sqrt.f64 #s(approx (/ 2 (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 t 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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t)))
accuracy	0.45703125	(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t)
accuracy	0.4609375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	14.212209682356919	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t))

Samples

145.0ms	178×	1	valid
68.0ms	65×	2	valid
4.0ms	13×	0	valid

Compiler

Compiled 675 to 52 computations (92.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-mult: 41.0ms (25% of total)

ival-add: 39.0ms (23.7% of total)

adjust: 33.0ms (20.1% of total)

ival-div: 32.0ms (19.5% of total)

ival-sqrt: 12.0ms (7.3% of total)

ival-sub: 5.0ms (3% of total)

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

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

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

exact: 0.0ms (0% of total)

series122.0ms (0.8%)

Memory

-23.0MiB live, 181.6MiB allocated

Counts

29 → 792

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

Calls

198 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	(* (sqrt (/ (+ (* 2 x) 2) (+ x -1))) t)
1.0ms	t	@	0	(* (sqrt (/ (+ (* 2 x) 2) (+ x -1))) t)
1.0ms	l	@	0	(* (* l l) (+ (/ (+ x 1) (+ x -1)) -1))
1.0ms	x	@	-inf	(* (sqrt (/ (+ (* 2 x) 2) (+ x -1))) t)
1.0ms	x	@	0	(* (sqrt (/ (+ (* 2 x) 2) (+ x -1))) t)

simplify724.0ms (4.6%)

Memory

20.1MiB live, 897.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 072×	`lower-*.f64`
8 072×	`lower-*.f32`
6 226×	`lower-fma.f64`
6 226×	`lower-fma.f32`
4 218×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1162	68362
1	3932	66640
0	8962	62958

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 792

Calls

Call 1

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

rewrite331.0ms (2.1%)

Memory

-30.2MiB live, 368.0MiB allocated

Rules

4 688×	`lower-fma.f32`
4 684×	`lower-fma.f64`
3 848×	`lower-*.f32`
3 832×	`lower-*.f64`
3 170×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	783
0	111	749
1	467	716
2	3988	716
0	8252	695

Stop Event

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

Counts

29 → 598

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

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

eval259.0ms (1.6%)

Memory: 37.7MiB live, 447.5MiB allocated
Compiler: Compiled 112 492 to 3 746 computations (96.7% saved)

prune649.0ms (4.1%)

Memory

-124.9MiB live, 374.8MiB allocated

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	1 424	12	1 436
Fresh	5	14	19
Picked	2	3	5
Done	0	3	3
Total	1 431	32	1 463

Accuracy

93.3%

Counts

1 463 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (pow.f64 (pow.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 x l l) (+.f64 x #s(literal -1 binary64))) l))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	3.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx ( (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) #s(approx (/ (* l l) (* (+ x -1) (+ x -1))) (.f64 l l))) (neg.f64 (.f64 l l)))))
	15.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)))))
	49.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (+ (* x x) -1) (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)))) (neg (* l l))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x) (.f64 t t))))))
	4.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (*.f64 l (fma.f64 l (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 l))))))
	8.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (exp.f64 (.f64 (log.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 x l l) (+.f64 x #s(literal -1 binary64))) l)))) #s(literal 1/2 binary64))))
	29.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) t) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
✓	77.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
✓	77.8%	(/.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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t)))
	76.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)))))))
	11.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 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)))))))
	7.9%	(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 x l l) (+.f64 x #s(literal -1 binary64))) l))))) t)
	15.2%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 (fma.f64 l (+.f64 l (/.f64 l x)) (*.f64 l (+.f64 l (/.f64 l x)))) x))))))
	77.5%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))))
	15.2%	(.f64 t (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 (fma.f64 l (+.f64 l (/.f64 l x)) (*.f64 l (+.f64 l (/.f64 l x)))) x))) #s(literal 1/2 binary64)))))
	2.1%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx ( (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (/.f64 (.f64 l l) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (*.f64 l l))))))
	10.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) l) l (.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))) l) l))))))
✓	3.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
	15.2%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(approx (+ (/ x (+ x -1)) -1) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))))))
	15.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) #s(approx (+ (/ (+ x 1) (+ x -1)) -1) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal -2 binary64)) (neg.f64 x))))))))
	15.1%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) #s(approx (+ (/ (+ x 1) (+ x -1)) -1) (/.f64 #s(literal 2 binary64) x)))))))
	5.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) #s(approx (+ (/ (+ x 1) (+ x -1)) -1) #s(literal -2 binary64)))))))
	15.0%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 #s(approx (+ (+ (/ (* l l) x) (+ (* l l) (/ (* l l) x))) (* l l)) (.f64 #s(literal 2 binary64) (.f64 l l))) x))))))
	8.6%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) #s(approx (/ (+ (+ (/ (* l l) x) (+ (* l l) (/ (* l l) x))) (* l l)) x) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1 binary64) x))) (.f64 x x))))))))
	38.3%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 (/.f64 #s(literal 1 binary64) t) t))))
	25.9%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 t t))))))
✓	37.4%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
	11.5%	(.f64 t #s(approx (sqrt (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* 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 (sqrt.f64 #s(literal 2 binary64)) l))))
	11.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
	76.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
✓	75.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
✓	76.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 2 378 to 797 computations (66.5% saved)

regimes130.0ms (0.8%)

Memory

-7.7MiB live, 215.9MiB 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 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) #s(approx (+ (/ (+ x 1) (+ x -1)) -1) #s(literal -2 binary64)))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 (/.f64 #s(literal 1 binary64) t) t))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (-.f64 (neg.f64 (.f64 l l)) (.f64 l l)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 t t))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 t t))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 #s(approx (+ (+ (/ (* l l) x) (+ (* l l) (/ (* l l) x))) (* l l)) (.f64 #s(literal 2 binary64) (.f64 l l))) x))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) #s(approx (+ (/ (+ x 1) (+ x -1)) -1) (/.f64 #s(literal 2 binary64) x)))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 (fma.f64 l l (*.f64 l l)) x))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (*.f64 l l))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 x l l) (+.f64 x #s(literal -1 binary64))) l))))) t)
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 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)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) #s(approx (/ (+ (+ (/ (* l l) x) (+ (* l l) (/ (* l l) x))) (* l l)) x) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1 binary64) x))) (.f64 x x))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx ( (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) #s(approx (/ (* l l) (* (+ x -1) (+ x -1))) (.f64 l l))) (neg.f64 (.f64 l l)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))))))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t)))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (*.f64 l (fma.f64 l (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 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 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 l (fma.f64 x l l)) (+.f64 x #s(literal -1 binary64))) (.f64 l l)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) t) (sqrt.f64 (+.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 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx ( (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx ( (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (/.f64 (.f64 l l) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (*.f64 l l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (+ (* x x) -1) (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)))) (neg (* l l))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x) (.f64 t t))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(approx (+ (/ x (+ x -1)) -1) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) l) l (.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))) l) l))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) #s(approx (+ (/ (+ x 1) (+ x -1)) -1) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(literal -2 binary64)) (neg.f64 x))))))))
(.f64 t (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (+ (* (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 (fma.f64 l (+.f64 l (/.f64 l x)) (*.f64 l (+.f64 l (/.f64 l x)))) x))) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx ( (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (/.f64 (.f64 l l) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(.f64 t #s(approx (sqrt (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* 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 (sqrt.f64 #s(literal 2 binary64)) l))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 (+.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (/.f64 (.f64 l l) x))) (*.f64 l l)) x))))))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 (fma.f64 l (+.f64 l (/.f64 l x)) (*.f64 l (+.f64 l (/.f64 l x)))) x))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (*.f64 l l)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (.f64 l l) x))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (neg.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (/.f64 (+.f64 (neg.f64 (-.f64 (neg.f64 (.f64 l l)) (.f64 l l))) (/.f64 (fma.f64 l l (.f64 l l)) x)) x)) x)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 x (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))))) (.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l)) (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l)))) (/.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.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 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))) x)) x)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (pow.f64 (pow.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 x l l) (+.f64 x #s(literal -1 binary64))) l))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (exp.f64 (.f64 (log.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 x l l) (+.f64 x #s(literal -1 binary64))) l)))) #s(literal 1/2 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 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))

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

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

Calls

6 calls:

21.0ms	x
21.0ms	l
21.0ms	(*.f64 l l)
21.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
20.0ms	t

Results

Accuracy	Segments	Branch
77.8%	1	`x`
79.6%	2	`l`
86.4%	3	`t`
77.8%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
77.8%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
77.8%	1	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes25.0ms (0.2%)

Memory

-1.8MiB live, 43.1MiB allocated

Counts

64 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
86.4%	3	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes21.0ms (0.1%)

Memory

0.4MiB live, 39.4MiB allocated

Counts

60 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
84.1%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

28.6MiB live, 28.6MiB allocated

Counts

42 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
81.9%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-21.1MiB live, 17.8MiB 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 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) #s(approx (+ (/ (+ x 1) (+ x -1)) -1) #s(literal -2 binary64)))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 (/.f64 #s(literal 1 binary64) t) t))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (-.f64 (neg.f64 (.f64 l l)) (.f64 l l)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 t t))))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 t t))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 #s(approx (+ (+ (/ (* l l) x) (+ (* l l) (/ (* l l) x))) (* l l)) (.f64 #s(literal 2 binary64) (.f64 l l))) x))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) #s(approx (+ (/ (+ x 1) (+ x -1)) -1) (/.f64 #s(literal 2 binary64) x)))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 (fma.f64 l l (*.f64 l l)) x))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (*.f64 l l))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (-.f64 (/.f64 (fma.f64 x l l) (+.f64 x #s(literal -1 binary64))) l))))) t)
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 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)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) #s(approx (/ (+ (+ (/ (* l l) x) (+ (* l l) (/ (* l l) x))) (* l l)) x) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1 binary64) x))) (.f64 x x))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx ( (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) #s(approx (/ (* l l) (* (+ x -1) (+ x -1))) (.f64 l l))) (neg.f64 (.f64 l l)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))))))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 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 (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)))))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
81.6%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
80.8%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0%)

Memory

-24.6MiB live, 14.5MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
80.8%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
80.5%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
80.5%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Memory

-14.0MiB live, 37.7MiB allocated

Accuracy

Total -48.4b remaining (-319.5%)

Threshold costs -48.4b (-319.5%)

Counts

9 → 1

Calls

Call 1

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

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:

8.0ms	(*.f64 l l)
3.0ms	x
3.0ms	t
3.0ms	l
3.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Results

Accuracy	Segments	Branch
76.3%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
76.3%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
76.3%	1	`x`
76.3%	1	`(*.f64 l l)`
76.3%	1	`l`
76.3%	1	`t`

Compiler

Compiled 58 to 38 computations (34.5% saved)

bsearch73.0ms (0.5%)

Memory

-5.8MiB live, 71.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
45.0ms	0.07218719141840763	0.4615551377502955
23.0ms	8.86195466564414e-183	9.434946916878331e-182

Samples

34.0ms	94×	0	valid
16.0ms	90×	1	valid
7.0ms	34×	1	invalid
2.0ms	8×	2	valid
0.0ms	2×	0	invalid

Compiler

Compiled 813 to 414 computations (49.1% saved)

Precisions

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

ival-sub: 27.0ms (53% of total)

ival-mult: 7.0ms (13.7% of total)

adjust: 5.0ms (9.8% of total)

ival-div: 4.0ms (7.9% of total)

ival-sqrt: 4.0ms (7.9% of total)

ival-add: 4.0ms (7.9% 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

2.3MiB live, 2.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.07218719141840763	0.4615551377502955
1.0ms	8.86195466564414e-183	9.434946916878331e-182

Compiler

Compiled 681 to 390 computations (42.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.07218719141840763	0.4615551377502955

Compiler

Compiled 321 to 198 computations (38.3% saved)

bsearch49.0ms (0.3%)

Memory

20.5MiB live, 58.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	1.987059358790446e-241	1.018308603244261e-234

Samples

16.0ms	92×	1	valid
9.0ms	38×	0	valid
5.0ms	30×	1	invalid
4.0ms	14×	2	valid
3.0ms	10×	2	invalid
0.0ms	4×	0	invalid

Compiler

Compiled 402 to 258 computations (35.8% saved)

Precisions

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

ival-sqrt: 8.0ms (26.8% of total)

ival-mult: 6.0ms (20.1% of total)

adjust: 5.0ms (16.7% of total)

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

ival-sub: 3.0ms (10% of total)

ival-add: 3.0ms (10% 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

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.987059358790446e-241	1.018308603244261e-234

Compiler

Compiled 402 to 258 computations (35.8% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.987059358790446e-241	1.018308603244261e-234

Compiler

Compiled 384 to 249 computations (35.2% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.987059358790446e-241	1.018308603244261e-234

Compiler

Compiled 366 to 240 computations (34.4% saved)

bsearch5.0ms (0%)

Memory

-38.0MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.987059358790446e-241	1.018308603244261e-234

Compiler

Compiled 249 to 168 computations (32.5% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.987059358790446e-241	1.018308603244261e-234

Compiler

Compiled 258 to 168 computations (34.9% saved)

simplify12.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
8×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	1000
1	152	1000

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 1719273622819807/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (if (<=.f64 t #s(literal 3332663724254167/9007199254740992 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (.f64 l l) x))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t)))))
(if (<=.f64 t #s(literal 1719273622819807/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (if (<=.f64 t #s(literal 3332663724254167/9007199254740992 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (+ (* x x) -1) (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)))) (neg (* l l))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x) (.f64 t 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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t)))))
(if (<=.f64 t #s(literal 3332663724254167/9007199254740992 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (+ (* x x) -1) (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)))) (neg (* l l))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x) (.f64 t 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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t))))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (fma.f64 l l (.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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t))))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (fma.f64 l l (.f64 l l)) x))))) (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (fma.f64 l l (.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 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x))))))))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) #s(approx (+ (/ (+ x 1) (+ x -1)) -1) (/.f64 #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 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x))))))))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) #s(approx (+ (/ (+ x 1) (+ x -1)) -1) (/.f64 #s(literal 2 binary64) x))))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 #s(approx (+ (+ (/ (* l l) x) (+ (* l l) (/ (* l l) x))) (* l l)) (.f64 #s(literal 2 binary64) (.f64 l l))) x)))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Outputs
(if (<=.f64 t #s(literal 1719273622819807/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (if (<=.f64 t #s(literal 3332663724254167/9007199254740992 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (.f64 l l) x))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t)))))
(if (<=.f64 t #s(literal 1719273622819807/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496 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 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (if (<=.f64 t #s(literal 3332663724254167/9007199254740992 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (.f64 l l) x))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)))))) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(if (<=.f64 t #s(literal 1719273622819807/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (if (<=.f64 t #s(literal 3332663724254167/9007199254740992 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (+ (* x x) -1) (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)))) (neg (* l l))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x) (.f64 t 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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t)))))
(if (<=.f64 t #s(literal 1719273622819807/18687756769780511615554238896948393266762663965690101475652372553315431084886742575128218875155953253493318900013442692344580934538753794040842900765582189315080170186179645235539452691442089066496 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 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (if (<=.f64 t #s(literal 3332663724254167/9007199254740992 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (+ ( (+ (* x x) -1) (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)))) (neg (* l l))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)))))) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(if (<=.f64 t #s(literal 3332663724254167/9007199254740992 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (+ (* x x) -1) (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)))) (neg (* l l))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x) (.f64 t 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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t))))
(if (<=.f64 t #s(literal 3332663724254167/9007199254740992 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (+ ( (+ (* x x) -1) (* (/ 1 (+ x -1)) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)))) (neg (* l l))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)))))) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (fma.f64 l l (.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 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))) t))))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (fma.f64 l l (.f64 l l)) x))))) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (fma.f64 l l (.f64 l l)) x))))) (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (fma.f64 l l (.f64 l l)) x))))) (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (fma.f64 l l (.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 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x))))))))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* l (* l (+ 1 x))) (+ x -1)) (* l l)) (/.f64 (fma.f64 l l (.f64 l l)) x))))) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x))))))))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) #s(approx (+ (/ (+ x 1) (+ x -1)) -1) (/.f64 #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 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x))))))))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) #s(approx (+ (/ (+ x 1) (+ x -1)) -1) (/.f64 #s(literal 2 binary64) x))))))) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x))))))))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) (.f64 (.f64 l l) #s(approx (+ (/ (+ x 1) (+ x -1)) -1) (/.f64 #s(literal 2 binary64) x))))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)))
(if (<=.f64 t #s(literal 5155002705325493/57277807836949922408837567867349676981443478344341305058882899404622128010705808318690568531649256750858719018437999440148793721514146753400890052083129159241025748615958424204533602522957957552490080016463490494951861107213475167230717574212948590592 binary64)) (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ (* 2 (* t t)) (* l l)) (/ (+ x 1) (+ x -1))) (neg (* l l))) #s(approx (+ (* (* l l) (/ (+ 1 x) (+ x -1))) (neg (* l l))) (/.f64 #s(approx (+ (+ (/ (* l l) x) (+ (* l l) (/ (* l l) x))) (* l l)) (.f64 #s(literal 2 binary64) (.f64 l l))) x)))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

soundness1.6s (10.3%)

Memory

21.8MiB live, 1 389.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	422
0	95	385
1	383	373
2	3480	373
0	8823	373
0	1162	68362
1	3932	66640
0	8962	62958
0	1808	53451
1	6353	52427
0	8189	49476
0	18	85
0	31	85
1	116	85
2	928	84
0	8797	80
0	676	10349
1	2332	9162
0	8701	8754
0	1885	54486
1	6604	53343
0	8248	50508
0	62	633
0	99	608
1	412	572
2	3307	570
0	9424	541

Stop Event

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

Compiler

Compiled 1 431 to 719 computations (49.8% saved)

preprocess155.0ms (1%)

Memory: -11.4MiB live, 191.9MiB allocated
Remove: (abs l)
Compiler: Compiled 1 400 to 406 computations (71% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze378.0ms (2.4%)

sample2.9s (18.3%)

explain257.0ms (1.6%)

preprocess469.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify426.0ms (2.7%)

localize100.0ms (0.6%)

series142.0ms (0.9%)

simplify540.0ms (3.4%)

rewrite1.0s (6.6%)

eval124.0ms (0.8%)

prune160.0ms (1%)

simplify237.0ms (1.5%)

localize506.0ms (3.2%)

series204.0ms (1.3%)

simplify488.0ms (3.1%)

rewrite374.0ms (2.4%)

eval324.0ms (2%)

prune295.0ms (1.9%)

simplify198.0ms (1.2%)

localize256.0ms (1.6%)

series86.0ms (0.5%)

simplify467.0ms (2.9%)

rewrite307.0ms (1.9%)

eval302.0ms (1.9%)

prune306.0ms (1.9%)

simplify238.0ms (1.5%)

localize461.0ms (2.9%)

series122.0ms (0.8%)

simplify724.0ms (4.6%)

rewrite331.0ms (2.1%)

eval259.0ms (1.6%)

prune649.0ms (4.1%)

regimes130.0ms (0.8%)

regimes25.0ms (0.2%)

regimes21.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes24.0ms (0.2%)

bsearch73.0ms (0.5%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch49.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch5.0ms (0%)

bsearch1.0ms (0%)

simplify12.0ms (0.1%)

soundness1.6s (10.3%)

preprocess155.0ms (1%)

end0.0ms (0%)

Profiling