Metrics for Toniolo and Linder, Equation (7)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze374.0ms (3.2%)

Memory

-2.9MiB live, 627.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 29 to 20 computations (31% saved)

sample3.1s (26.6%)

Memory

48.9MiB live, 3 441.9MiB allocated

Samples

846.0ms	5 432×	0	valid
690.0ms	2 641×	1	valid
387.0ms	2 795×	0	invalid
345.0ms	1 560×	1	invalid
47.0ms	183×	2	valid
27.0ms	107×	2	invalid

Precisions

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

ival-mult: 448.0ms (25.3% of total)

ival-div: 372.0ms (21% of total)

ival-sqrt: 303.0ms (17.1% of total)

ival-add: 244.0ms (13.8% of total)

ival-sub: 214.0ms (12.1% of total)

adjust: 164.0ms (9.3% of total)

exact: 13.0ms (0.7% of total)

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

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

Bogosity

explain320.0ms (2.7%)

Memory

9.9MiB live, 270.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
124	-	1	(116586.2290305143 2.4312812481137192e-234 1.2515075366143773e-158)	`(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)))`
75	-	0	-	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`
1	-	0	-	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
0	-	0	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
0	-	0	-	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`t`
0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 t t))`
0	-	0	-	`(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)`
0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	-	0	-	`(*.f64 l l)`
0	-	0	-	`(sqrt.f64 #s(literal 2 binary64))`
0	-	0	-	`(*.f64 t t)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(-.f64 x #s(literal 1 binary64))`
0	-	0	-	`l`
0	-	0	-	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`	oflow-rescue	96	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	97
↳	`(.f64 (/.f64 (+.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	110
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	84
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	110
↳	`(*.f64 t t)`	overflow	84
↳	`(*.f64 l l)`	overflow	78
↳	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`	overflow	1
`-.f64`	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	nan-rescue	39	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	110
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	84
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	110
↳	`(*.f64 t t)`	overflow	84
↳	`(*.f64 l l)`	overflow	39
↳	`(*.f64 l l)`	overflow	39
`-.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	36	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	27	0
↳	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	underflow	27
↳	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`	underflow	17
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	47
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	17
↳	`(*.f64 t t)`	underflow	47
↳	`(*.f64 l l)`	underflow	182
`/.f64`	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`	o/o	1	0
↳	`(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)`	overflow	1
↳	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	overflow	97
↳	`(.f64 (/.f64 (+.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	110
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	84
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	110
↳	`(*.f64 t t)`	overflow	84
↳	`(*.f64 l l)`	overflow	78
↳	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`	overflow	1

Confusion

	Predicted +	Predicted -
+	173	1
-	0	82

Precision

1.0

Recall

0.9942528735632183

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	173	0	1
-	0	0	82

Precision?

1.0

Recall?

0.9942528735632183

Freqs

test

number	freq
0	83
1	147
2	26

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	356×	0	valid
31.0ms	148×	1	valid
2.0ms	8×	2	valid

Compiler

Compiled 296 to 58 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 25.0ms (42.8% of total)

ival-div: 8.0ms (13.7% of total)

ival-sqrt: 8.0ms (13.7% of total)

ival-sub: 6.0ms (10.3% of total)

ival-add: 6.0ms (10.3% of total)

adjust: 5.0ms (8.6% of total)

exact: 1.0ms (1.7% of total)

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

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

preprocess243.0ms (2.1%)

Memory

-31.5MiB live, 245.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs l)

(negabs t)

Compiler

Compiled 30 to 18 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Status

Accuracy

Program

▶

34.8%

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

Compiler

Compiled 30 to 18 computations (40% saved)

simplify527.0ms (4.5%)

Memory

-109.6MiB live, 316.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (0.8%)

Memory

15.1MiB live, 91.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.31478776081926724	(/.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	0.390625	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	16.136957162269088	(-.f64 (.f64 (/.f64 (+.f64 x #s(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	28.821105823992053	(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

40.0ms	178×	0	valid
15.0ms	74×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-sqrt: 24.0ms (55.3% of total)

ival-mult: 7.0ms (16.1% of total)

ival-div: 4.0ms (9.2% of total)

ival-sub: 3.0ms (6.9% of total)

ival-add: 3.0ms (6.9% of total)

adjust: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series68.0ms (0.6%)

Memory

13.4MiB live, 125.6MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	l	@	0	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
9.0ms	x	@	0	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
8.0ms	l	@	inf	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
6.0ms	t	@	inf	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
6.0ms	t	@	-inf	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))

simplify209.0ms (1.8%)

Memory

35.3MiB live, 381.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite219.0ms (1.9%)

Memory

-17.7MiB live, 405.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 417

Calls

Call 1

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

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

eval120.0ms (1%)

Memory: -7.3MiB live, 316.8MiB allocated
Compiler: Compiled 33 915 to 2 339 computations (93.1% saved)

prune100.0ms (0.9%)

Memory

13.9MiB live, 372.9MiB allocated

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	534	27	561
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	535	27	562

Accuracy

90.7%

Counts

562 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 l) l))))
▶	31.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l))))
▶	12.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (neg.f64 l) l))))
	27.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (*.f64 (neg.f64 l) l))))
	15.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 l l) l) l (.f64 #s(literal -4 binary64) (.f64 (.f64 (.f64 t t) t) t))) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t))) (-.f64 x #s(literal 1 binary64)))) (.f64 (neg.f64 l) l))))
	35.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))))
	12.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 l) l))))
	37.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))))
	49.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 #s(literal 2 binary64) t) t (/.f64 (fma.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal -2 binary64) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (.f64 l l) x))) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)) (neg.f64 x))) (neg.f64 x))))))
	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)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
	48.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) (.f64 x x)) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (/.f64 (.f64 l l) x)))) (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 x x)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))))))
▶	3.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))))
	41.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t t) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
	41.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t t) #s(literal 2 binary64)))))
	49.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	56.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) t)))
▶	80.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	3.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
	79.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
	37.9%	(.f64 (/.f64 t (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))) (sqrt.f64 #s(literal 2 binary64)))
	37.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
	14.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 l l) t) t) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (.f64 (pow.f64 t #s(literal 6 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (.f64 (pow.f64 t #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))))))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.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))) (-.f64 x #s(literal -1 binary64)))))) (/.f64 (.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t)))) (*.f64 l l))))
	79.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	3.1%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
	3.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
	3.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
▶	78.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 2 092 to 1 054 computations (49.6% saved)

simplify149.0ms (1.3%)

Memory

-0.7MiB live, 288.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

15 076×	`lower-fma.f32`
15 066×	`lower-fma.f64`
4 172×	`lower-*.f32`
4 152×	`lower-*.f64`
3 294×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	632
0	95	626
1	180	621
2	418	613
3	1329	613
4	6150	613
0	8077	606

Stop Event

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

Calls

Call 1

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

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

localize198.0ms (1.7%)

Memory

-2.5MiB live, 434.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.343759397248153	(.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))
accuracy	11.65105433444303	(/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))
accuracy	28.821105823992053	(sqrt.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (*.f64 (neg.f64 l) l)))
accuracy	35.648205161076255	(fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) (.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (*.f64 (neg.f64 l) l))
accuracy	0.390625	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	12.753910004275742	(/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))
accuracy	21.216295615793943	(fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))
accuracy	28.821105823992053	(sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))
accuracy	7.329935470413921	(/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64)))
accuracy	28.438805174495336	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l))
accuracy	28.821105823992053	(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l))))
accuracy	44.29241502018957	#s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	1.0	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	12.873461758146268	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.015625	(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	0.31478776081926724	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
accuracy	0.390625	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	12.341521399977761	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))

Samples

99.0ms	148×	1	valid
33.0ms	91×	0	valid
17.0ms	17×	2	valid

Compiler

Compiled 578 to 52 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 34.0ms (33.1% of total)

ival-div: 19.0ms (18.5% of total)

ival-sqrt: 14.0ms (13.6% of total)

adjust: 13.0ms (12.6% of total)

ival-add: 13.0ms (12.6% of total)

ival-sub: 8.0ms (7.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series329.0ms (2.8%)

Memory

-15.8MiB live, 287.4MiB allocated

Counts

23 → 612

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
47.0ms	x	@	-inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)))) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l))) (sqrt (/ (- x -1) (- x 1))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l))))
43.0ms	x	@	inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)))) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l))) (sqrt (/ (- x -1) (- x 1))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l))))
41.0ms	l	@	inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)))) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l))) (sqrt (/ (- x -1) (- x 1))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l))))
13.0ms	t	@	0	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)))) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l))) (sqrt (/ (- x -1) (- x 1))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l))))
13.0ms	x	@	0	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)))) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l))) (sqrt (/ (- x -1) (- x 1))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l))))

simplify494.0ms (4.2%)

Memory

10.4MiB live, 365.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 326×	`lower-*.f64`
6 326×	`lower-*.f32`
5 232×	`lower-fma.f64`
5 232×	`lower-fma.f32`
3 332×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1905	52240
1	6921	51071
0	8182	48216

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 611

Calls

Call 1

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

rewrite328.0ms (2.8%)

Memory

8.6MiB live, 242.2MiB allocated

Rules

4 888×	`lower-/.f32`
4 872×	`lower-/.f64`
4 392×	`lower-*.f32`
4 374×	`lower-*.f64`
4 056×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	481
0	95	463
1	367	461
2	3134	457
0	9292	457

Stop Event

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

Counts

23 → 681

Calls

Call 1

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

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

eval452.0ms (3.9%)

Memory: 5.7MiB live, 552.3MiB allocated
Compiler: Compiled 105 790 to 4 654 computations (95.6% saved)

prune178.0ms (1.5%)

Memory

-10.0MiB live, 465.8MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1 364	19	1 383
Fresh	18	4	22
Picked	4	1	5
Done	0	0	0
Total	1 386	24	1 410

Accuracy

92.0%

Counts

1 410 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(approx (/ (+ ( (* t t) 2) (* l l)) (- x 1)) (/.f64 (.f64 l l) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l))))
	2.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) l) l (.f64 (neg.f64 l) l)))))
▶	3.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 #s(approx ( (- x -1) l) (fma.f64 x l l)) l) (-.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 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+.f64 (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (/.f64 (.f64 l l) x))) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))
	41.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t t) #s(literal 2 binary64)))))
	11.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)))))
	12.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (neg.f64 (-.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (/.f64 (.f64 l l) x)) (/.f64 (.f64 l l) x)) x)) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) x))) x)))))
	12.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 (neg.f64 l) l (.f64 (neg.f64 l) l))) (/.f64 (fma.f64 l l (.f64 l l)) x)) x)) (fma.f64 l l (*.f64 l l))) x))))))
▶	37.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))))
	49.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
▶	3.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
	8.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
	80.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 #s(approx (sqrt (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	2.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l))) (.f64 (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fma.f64 (.f64 x x) x #s(literal -1 binary64))) #s(literal -1 binary64))) l)))
▶	80.1%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (sqrt.f64 #s(literal 2 binary64)))
	80.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
	80.1%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
	37.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))))))
	3.9%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal -1 binary64)) l) (.f64 (neg.f64 l) l))))))
	79.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	7.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
✓	78.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶	79.9%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
	36.9%	#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))

Compiler

Compiled 1 187 to 706 computations (40.5% saved)

simplify132.0ms (1.1%)

Memory

23.6MiB live, 224.4MiB 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) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
cost-diff	896	(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 #s(approx ( (- x -1) l) (fma.f64 x l l)) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))))
cost-diff	320	(-.f64 (/.f64 (.f64 #s(approx ( (- x -1) l) (fma.f64 x l l)) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))))
cost-diff	896	(fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))
cost-diff	0	(/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
cost-diff	0	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))

Rules

14 412×	`lower-fma.f32`
14 406×	`lower-fma.f64`
4 258×	`lower-*.f32`
4 242×	`lower-*.f64`
3 228×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	744
0	104	728
1	196	719
2	426	687
3	1291	663
4	6028	663
0	8065	654

Stop Event

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

Calls

Call 1

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

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

localize294.0ms (2.5%)

Memory

-10.8MiB live, 758.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)
accuracy	0.19921875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	23.55900114857911	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))
accuracy	34.590688989690086	(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy	4.750151714471002	(/.f64 (.f64 #s(approx ( (- x -1) l) (fma.f64 x l l)) l) (-.f64 x #s(literal 1 binary64)))
accuracy	15.824325878949534	(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 #s(approx ( (- x -1) l) (fma.f64 x l l)) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l))))
accuracy	17.12278431913338	(-.f64 (/.f64 (.f64 #s(approx ( (- x -1) l) (fma.f64 x l l)) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l))
accuracy	20.30798665880711	#s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 #s(approx ( (- x -1) l) (fma.f64 x l l)) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))
accuracy	0.19921875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	10.13218414912137	#s(approx (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))
accuracy	14.204206909684219	(fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))
accuracy	15.824325878949534	(sqrt.f64 #s(approx (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))
accuracy	12.478709633246442	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
accuracy	0.1875	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)
accuracy	0.21875	(/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
accuracy	0.43359375	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	12.207674705331181	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))

Samples

91.0ms	64×	2	valid
62.0ms	84×	1	valid
50.0ms	67×	1	invalid
34.0ms	30×	2	invalid
3.0ms	10×	0	invalid
0.0ms	1×	0	valid

Compiler

Compiled 556 to 56 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-mult: 59.0ms (31.1% of total)

ival-div: 45.0ms (23.7% of total)

adjust: 35.0ms (18.4% of total)

ival-add: 22.0ms (11.6% of total)

ival-sqrt: 15.0ms (7.9% of total)

ival-sub: 13.0ms (6.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series120.0ms (1%)

Memory

-9.4MiB live, 264.6MiB allocated

Counts

21 → 588

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	((* 2 (/ (- x -1) (- x 1))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (+ (* (neg l) l) (+ (* (* t t) 2) (* l l))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)))) (* (sqrt 2) t) (sqrt 2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l))) (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l))
8.0ms	t	@	0	((* 2 (/ (- x -1) (- x 1))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (+ (* (neg l) l) (+ (* (* t t) 2) (* l l))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)))) (* (sqrt 2) t) (sqrt 2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l))) (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l))
7.0ms	x	@	0	((* 2 (/ (- x -1) (- x 1))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (+ (* (neg l) l) (+ (* (* t t) 2) (* l l))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)))) (* (sqrt 2) t) (sqrt 2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l))) (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l))
6.0ms	x	@	-inf	((* 2 (/ (- x -1) (- x 1))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (+ (* (neg l) l) (+ (* (* t t) 2) (* l l))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)))) (* (sqrt 2) t) (sqrt 2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l))) (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l))
5.0ms	l	@	inf	((* 2 (/ (- x -1) (- x 1))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (+ (* (neg l) l) (+ (* (* t t) 2) (* l l))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)))) (* (sqrt 2) t) (sqrt 2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (sqrt (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l))) (+ (* (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l))

simplify324.0ms (2.8%)

Memory

-3.8MiB live, 593.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 092×	`lower-*.f64`
7 092×	`lower-*.f32`
5 938×	`lower-fma.f64`
5 938×	`lower-fma.f32`
3 554×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1765	54162
1	6288	48903
0	8172	46162

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

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

rewrite241.0ms (2.1%)

Memory

29.0MiB live, 306.3MiB allocated

Rules

6 916×	`lower-*.f32`
6 900×	`lower-*.f64`
5 458×	`lower-fma.f32`
5 452×	`lower-fma.f64`
4 536×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	606
0	104	586
1	417	567
2	3657	564
0	10692	556

Stop Event

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

Counts

21 → 377

Calls

Call 1

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

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

eval163.0ms (1.4%)

Memory: -8.9MiB live, 257.1MiB allocated
Compiler: Compiled 79 999 to 3 436 computations (95.7% saved)

prune123.0ms (1.1%)

Memory

27.8MiB live, 224.1MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	998	16	1 014
Fresh	14	4	18
Picked	4	1	5
Done	0	1	1
Total	1 016	22	1 038

Accuracy

99.4%

Counts

1 038 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	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 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))
▶	41.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t t) #s(literal 2 binary64)))))
	11.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)))))
	49.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	4.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) l)))
▶	80.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
▶	3.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) l)))
	21.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)))) l)))
	21.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)))) l)))
	21.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l)))
	80.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 #s(approx (sqrt (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
▶	21.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 l (sqrt.f64 #s(literal 2 binary64)))))))
	80.3%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
	78.8%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	79.9%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))
	80.1%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
	38.1%	(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (/.f64 (neg.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal -2 binary64))) (.f64 (.f64 (.f64 t t) x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
▶	79.5%	(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
	3.9%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) #s(approx (* (- x -1) l) (fma.f64 l x l)) (*.f64 (neg.f64 l) l))))))
	37.0%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
✓	78.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	79.9%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 928 to 570 computations (38.6% saved)

simplify140.0ms (1.2%)

Memory

-16.9MiB live, 145.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

14 962×	`lower-fma.f32`
14 960×	`lower-fma.f64`
3 304×	`lower-*.f32`
3 286×	`lower-*.f64`
1 764×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	629
0	89	629
1	150	629
2	248	617
3	441	617
4	1079	617
5	2761	617
6	6601	617
0	8078	606

Stop Event

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

Calls

Call 1

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

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

localize173.0ms (1.5%)

Memory

-11.1MiB live, 222.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 l (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.2578125	(*.f64 l (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.39281221199628996	#s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 l (sqrt.f64 #s(literal 2 binary64)))))
accuracy	23.55900114857911	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 l (sqrt.f64 #s(literal 2 binary64))))))
accuracy	0.12109375	(*.f64 (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) l)
accuracy	0.19921875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	23.55900114857911	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) l))
accuracy	34.60281366577167	(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.015625	(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	0.01953125	(sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
accuracy	0.43359375	(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	12.193517475938187	#s(approx (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	0.06478500976844201	(/.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) #s(literal 2 binary64)))))
accuracy	0.19921875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	10.13218414912137	#s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t t) #s(literal 2 binary64)))
accuracy	15.824325878949534	(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t t) #s(literal 2 binary64))))
accuracy	0.06478500976844201	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
accuracy	0.1875	(*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)
accuracy	0.19921875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	12.207674705331181	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))

Samples

59.0ms	99×	1	valid
38.0ms	46×	2	valid
36.0ms	107×	0	invalid
1.0ms	4×	0	valid

Compiler

Compiled 479 to 49 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 26.0ms (26.7% of total)

ival-div: 24.0ms (24.7% of total)

ival-sqrt: 18.0ms (18.5% of total)

adjust: 12.0ms (12.3% of total)

ival-sub: 10.0ms (10.3% of total)

ival-add: 8.0ms (8.2% of total)

exact: 1.0ms (1% of total)

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

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

series80.0ms (0.7%)

Memory

29.9MiB live, 108.8MiB allocated

Counts

21 → 552

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	l	@	-inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (sqrt 1/2)) (sqrt (/ (- x 1) (- x -1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (/ (+ (* x 2) 2) (- x 1))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (- (/ (- x -1) (- x 1)) 1) (* (sqrt (- (/ (- x -1) (- x 1)) 1)) l) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (* l (sqrt 2)) (* (sqrt (/ 1 x)) (* l (sqrt 2))))
4.0ms	x	@	0	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (sqrt 1/2)) (sqrt (/ (- x 1) (- x -1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (/ (+ (* x 2) 2) (- x 1))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (- (/ (- x -1) (- x 1)) 1) (* (sqrt (- (/ (- x -1) (- x 1)) 1)) l) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (* l (sqrt 2)) (* (sqrt (/ 1 x)) (* l (sqrt 2))))
4.0ms	x	@	-inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (sqrt 1/2)) (sqrt (/ (- x 1) (- x -1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (/ (+ (* x 2) 2) (- x 1))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (- (/ (- x -1) (- x 1)) 1) (* (sqrt (- (/ (- x -1) (- x 1)) 1)) l) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (* l (sqrt 2)) (* (sqrt (/ 1 x)) (* l (sqrt 2))))
3.0ms	l	@	0	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (sqrt 1/2)) (sqrt (/ (- x 1) (- x -1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (/ (+ (* x 2) 2) (- x 1))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (- (/ (- x -1) (- x 1)) 1) (* (sqrt (- (/ (- x -1) (- x 1)) 1)) l) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (* l (sqrt 2)) (* (sqrt (/ 1 x)) (* l (sqrt 2))))
3.0ms	t	@	0	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (sqrt 1/2)) (sqrt (/ (- x 1) (- x -1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (/ (+ (* x 2) 2) (- x 1))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (- (/ (- x -1) (- x 1)) 1) (* (sqrt (- (/ (- x -1) (- x 1)) 1)) l) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (* l (sqrt 2)) (* (sqrt (/ 1 x)) (* l (sqrt 2))))

simplify330.0ms (2.8%)

Memory

-8.3MiB live, 380.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 850×	`lower-*.f64`
7 850×	`lower-*.f32`
6 134×	`lower-fma.f64`
6 134×	`lower-fma.f32`
4 340×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1147	50492
1	3929	48896
0	8728	46221

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

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

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

rewrite181.0ms (1.5%)

Memory

26.1MiB live, 218.9MiB allocated

Rules

5 430×	`lower-*.f32`
5 412×	`lower-*.f64`
3 624×	`lower-/.f32`
3 608×	`lower-/.f64`
3 262×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	510
0	89	507
1	330	487
2	2505	486
0	8469	475

Stop Event

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

Counts

21 → 338

Calls

Call 1

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

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

eval150.0ms (1.3%)

Memory: -0.4MiB live, 257.9MiB allocated
Compiler: Compiled 77 195 to 2 587 computations (96.6% saved)

prune136.0ms (1.2%)

Memory

-3.4MiB live, 247.8MiB allocated

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	950	17	967
Fresh	5	10	15
Picked	3	2	5
Done	0	2	2
Total	958	31	989

Accuracy

99.5%

Counts

989 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (pow.f64 (exp.f64 (log.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t #s(literal 2 binary64)) t)))) #s(literal 1/2 binary64)))
	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 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))
	11.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)))))
	39.0%	(/.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 (.f64 t #s(literal 2 binary64)) t))) #s(literal 1/2 binary64))))
	49.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	4.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) l)))
✓	80.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
✓	3.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) l)))
	21.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (- (/ (- x -1) (- x 1)) 1) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)))) l)))
	21.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx (- (/ (- x -1) (- x 1)) 1) (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)))) l)))
	21.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (- (/ (- x -1) (- x 1)) 1) (/.f64 #s(literal 2 binary64) x))) l)))
	80.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 #s(approx (sqrt (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	21.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (/.f64 (*.f64 l (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)))))
	21.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) l) (sqrt.f64 #s(literal 2 binary64))))))
	20.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	41.2%	(.f64 (/.f64 t (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t #s(literal 2 binary64)) t)))) (sqrt.f64 #s(literal 2 binary64)))
	78.8%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	79.9%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))
	21.1%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) l)))) (sqrt.f64 #s(literal 2 binary64)))
	41.3%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t #s(literal 2 binary64)) t)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
	79.5%	(.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 x #s(literal -1 binary64))))))
	38.1%	(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (/.f64 (neg.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal -2 binary64))) (.f64 (.f64 (.f64 t t) x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
	79.3%	(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ (- x 1) (- x -1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
	79.3%	(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ (- x 1) (- x -1))) (sqrt 1/2)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))) (sqrt.f64 #s(literal 2 binary64)))
	21.1%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) l)))))
	21.1%	(.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))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) l))))))
	3.9%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) #s(approx (* (- x -1) l) (fma.f64 l x l)) (*.f64 (neg.f64 l) l))))))
	41.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t #s(literal 2 binary64)) t)))))
	37.0%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (/ (- x -1) (+ (* (* x x) x) -1)) (* (+ (* (- x -1) x) 1) (+ (* (* t t) 2) (* l l)))) (* (neg l) l)) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
✓	78.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	79.9%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 2 644 to 806 computations (69.5% saved)

regimes187.0ms (1.6%)

Memory

29.3MiB live, 183.7MiB allocated

Counts

80 → 2

Calls

Call 1

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

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

Calls

6 calls:

74.0ms	(/.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))))
24.0ms	t
23.0ms	l
22.0ms	(*.f64 l l)
22.0ms	x

Results

Accuracy	Segments	Branch
80.3%	1	`x`
84.8%	2	`l`
86.2%	2	`t`
82.8%	2	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
80.3%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
83.1%	2	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes23.0ms (0.2%)

Memory

-8.1MiB live, 29.9MiB allocated

Counts

62 → 2

Calls

Call 1

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

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
86.2%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes40.0ms (0.3%)

Memory

-9.0MiB live, 28.9MiB allocated

Counts

53 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

37.0ms

Results

Accuracy	Segments	Branch
86.0%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
86.0%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes40.0ms (0.3%)

Memory

-24.5MiB live, 14.0MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

38.0ms

Results

Accuracy	Segments	Branch
85.8%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
85.6%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
85.6%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-25.0MiB live, 11.2MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
85.6%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Memory

9.1MiB live, 45.6MiB allocated

Accuracy

Total -29.6b remaining (-229.6%)

Threshold costs -29.6b (-229.6%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	x
4.0ms	t
4.0ms	l
3.0ms	(*.f64 l l)
3.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Results

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

Compiler

Compiled 58 to 38 computations (34.5% saved)

bsearch27.0ms (0.2%)

Memory

7.1MiB live, 41.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.7228899895161752e-236	6.364265681717949e-236

Samples

13.0ms	51×	1	valid
3.0ms	10×	2	valid
2.0ms	12×	1	invalid
2.0ms	19×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 303 to 189 computations (37.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

adjust: 7.0ms (41.9% of total)

ival-mult: 3.0ms (17.9% of total)

ival-sub: 2.0ms (12% of total)

ival-div: 2.0ms (12% of total)

ival-sqrt: 2.0ms (12% of total)

ival-add: 2.0ms (12% 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
0.0ms	1.7228899895161752e-236	6.364265681717949e-236

Compiler

Compiled 273 to 174 computations (36.3% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.7228899895161752e-236	6.364265681717949e-236

Compiler

Compiled 228 to 149 computations (34.6% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.7228899895161752e-236	6.364265681717949e-236

Compiler

Compiled 233 to 159 computations (31.8% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7228899895161752e-236	6.364265681717949e-236

Compiler

Compiled 233 to 149 computations (36.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.7228899895161752e-236	6.364265681717949e-236

Compiler

Compiled 223 to 154 computations (30.9% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.7228899895161752e-236	6.364265681717949e-236

Compiler

Compiled 213 to 144 computations (32.4% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.7228899895161752e-236	6.364265681717949e-236

Compiler

Compiled 148 to 104 computations (29.7% saved)

simplify35.0ms (0.3%)

Memory

-38.9MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Rules

162×	`unsub-neg_binary64`
156×	`distribute-lft-neg-in_binary64`
108×	`distribute-neg-in_binary64`
94×	`neg-mul-1_binary64`
84×	`neg-sub0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	814
1	140	814
2	169	810
3	225	810
4	320	810
5	434	810
6	518	810
7	587	810
8	640	810
9	678	810
10	699	810
11	710	810
12	711	810

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)))) l))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)))) l))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (/.f64 (.f64 l (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) l)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) l)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 #s(approx (sqrt (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) l)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l))) (.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l))) #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 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)))) l))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x))) l))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x)))) l))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x))) l))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (/.f64 (.f64 l (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) l)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) l)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 #s(approx (sqrt (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) l)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l))) (.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 t #s(literal 8248004328520789/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l))) #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))

soundness1.0s (8.8%)

Memory

49.8MiB live, 794.6MiB allocated

Rules

10 416×	`lower-fma.f64`
10 416×	`lower-fma.f32`
9 668×	`lower-*.f64`
9 668×	`lower-*.f32`
7 092×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	606
0	104	586
1	417	567
2	3657	564
0	10692	556
0	56	481
0	95	463
1	367	461
2	3134	457
0	9292	457
0	1765	54162
1	6288	48903
0	8172	46162
0	1905	52240
1	6921	51071
0	8182	48216
0	676	10349
1	2332	9162
0	8700	8754
0	58	510
0	89	507
1	330	487
2	2505	486
0	8469	475

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

Compiler

Compiled 1 057 to 547 computations (48.2% saved)

preprocess131.0ms (1.1%)

Memory: -7.8MiB live, 186.9MiB allocated
Compiler: Compiled 838 to 272 computations (67.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	105	814
1	140	814
2	169	810
3	225	810
4	320	810
5	434	810
6	518	810
7	587	810
8	640	810
9	678	810
10	699	810
11	710	810
12	711	810

Iter	Nodes	Cost
0	105	814
1	140	814
2	169	810
3	225	810
4	320	810
5	434	810
6	518	810
7	587	810
8	640	810
9	678	810
10	699	810
11	710	810
12	711	810

start0.0ms (0%)

analyze374.0ms (3.2%)

sample3.1s (26.6%)

explain320.0ms (2.7%)

preprocess243.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify527.0ms (4.5%)

localize91.0ms (0.8%)

series68.0ms (0.6%)

simplify209.0ms (1.8%)

rewrite219.0ms (1.9%)

eval120.0ms (1%)

prune100.0ms (0.9%)

simplify149.0ms (1.3%)

localize198.0ms (1.7%)

series329.0ms (2.8%)

simplify494.0ms (4.2%)

rewrite328.0ms (2.8%)

eval452.0ms (3.9%)

prune178.0ms (1.5%)

simplify132.0ms (1.1%)

localize294.0ms (2.5%)

series120.0ms (1%)

simplify324.0ms (2.8%)

rewrite241.0ms (2.1%)

eval163.0ms (1.4%)

prune123.0ms (1.1%)

simplify140.0ms (1.2%)

localize173.0ms (1.5%)

series80.0ms (0.7%)

simplify330.0ms (2.8%)

rewrite181.0ms (1.5%)

eval150.0ms (1.3%)

prune136.0ms (1.2%)

regimes187.0ms (1.6%)

regimes23.0ms (0.2%)

regimes40.0ms (0.3%)

regimes9.0ms (0.1%)

regimes40.0ms (0.3%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes26.0ms (0.2%)

bsearch27.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify35.0ms (0.3%)

soundness1.0s (8.8%)

preprocess131.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	105	814
1	140	814
2	169	810
3	225	810
4	320	810
5	434	810
6	518	810
7	587	810
8	640	810
9	678	810
10	699	810
11	710	810
12	711	810