Metrics for Toniolo and Linder, Equation (7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze303.0ms (2.3%)

Memory

2.3MiB live, 393.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 29 to 20 computations (31% saved)

sample3.5s (26.3%)

Memory

-12.0MiB live, 3 207.9MiB allocated

Samples

868.0ms	5 415×	0	valid
728.0ms	1 604×	1	invalid
605.0ms	2 661×	1	valid
431.0ms	2 794×	0	invalid
50.0ms	180×	2	valid
21.0ms	83×	2	invalid

Precisions

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

ival-mult: 456.0ms (26.1% of total)

ival-add: 412.0ms (23.6% of total)

ival-sub: 239.0ms (13.7% of total)

ival-sqrt: 238.0ms (13.6% of total)

ival-div: 220.0ms (12.6% of total)

adjust: 155.0ms (8.9% of total)

exact: 12.0ms (0.7% of total)

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

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

Bogosity

explain372.0ms (2.8%)

Memory

6.1MiB live, 478.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
121	-	1	(1.8087560511101763e+52 2.995876208677992e-249 7.837661921964012e-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)))`
89	-	0	-	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`
0	-	0	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
0	-	0	-	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`t`
0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 t t))`
0	-	0	-	`(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)`
0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	-	0	-	`(*.f64 l l)`
0	-	0	-	`(sqrt.f64 #s(literal 2 binary64))`
0	-	0	-	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
0	-	0	-	`(*.f64 t t)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(-.f64 x #s(literal 1 binary64))`
0	-	0	-	`l`
0	-	0	-	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`	oflow-rescue	88	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	88
↳	`(.f64 (/.f64 (+.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	109
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	73
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	109
↳	`(*.f64 t t)`	overflow	73
↳	`(*.f64 l l)`	overflow	108
`-.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	54	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	109
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	73
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	109
↳	`(*.f64 t t)`	overflow	73
↳	`(*.f64 l l)`	overflow	54
↳	`(*.f64 l l)`	overflow	54
`-.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	35	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	32	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	32
↳	`(.f64 (/.f64 (+.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	22
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	51
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	22
↳	`(*.f64 t t)`	underflow	51
↳	`(*.f64 l l)`	underflow	164

Confusion

	Predicted +	Predicted -
+	176	1
-	0	79

Precision

1.0

Recall

0.9943502824858758

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	176	0	1
-	0	0	79

Precision?

1.0

Recall?

0.9943502824858758

Freqs

test

number	freq
0	80
1	143
2	33

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms	318×	0	valid
36.0ms	172×	1	valid
8.0ms	22×	2	valid

Compiler

Compiled 293 to 58 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 18.0ms (32% of total)

ival-div: 8.0ms (14.2% of total)

ival-sqrt: 8.0ms (14.2% of total)

ival-add: 8.0ms (14.2% of total)

ival-sub: 6.0ms (10.7% of total)

adjust: 6.0ms (10.7% of total)

exact: 1.0ms (1.8% of total)

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

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

preprocess295.0ms (2.2%)

Memory

-8.6MiB live, 480.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs l)

(negabs t)

Compiler

Compiled 27 to 18 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Status

Accuracy

Program

▶

32.9%

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify278.0ms (2.1%)

Memory

10.3MiB live, 391.0MiB 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)

localize55.0ms (0.4%)

Memory

-33.8MiB live, 89.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.08041000976844202	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
accuracy	0.3984375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	19.50628922641082	(-.f64 (.f64 (/.f64 (+.f64 x #s(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	28.07802067363348	(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

18.0ms	86×	1	valid
17.0ms	159×	0	valid
3.0ms	11×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 7.0ms (27.2% of total)

ival-sqrt: 5.0ms (19.4% of total)

ival-div: 4.0ms (15.5% of total)

ival-sub: 3.0ms (11.6% of total)

adjust: 3.0ms (11.6% of total)

ival-add: 3.0ms (11.6% of total)

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

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

exact: 0.0ms (0% of total)

series61.0ms (0.5%)

Memory

25.3MiB live, 105.7MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	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)))
10.0ms	l	@	inf	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
7.0ms	l	@	0	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
6.0ms	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)))
5.0ms	t	@	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)))

simplify412.0ms (3.1%)

Memory

1.4MiB live, 361.1MiB 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	8351

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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(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
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(pow l 2)
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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)))))))
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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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(pow l 2)
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(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 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))

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

rewrite296.0ms (2.2%)

Memory

-29.4MiB live, 285.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 417

Calls

Call 1

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

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

eval197.0ms (1.5%)

Memory: 17.6MiB live, 167.9MiB allocated
Compiler: Compiled 27 480 to 2 436 computations (91.1% saved)

prune113.0ms (0.9%)

Memory

6.3MiB live, 84.8MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	542	19	561
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	543	19	562

Accuracy

80.6%

Counts

562 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (*.f64 (neg.f64 l) l))))
▶	26.9%	(/.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))))
	32.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 l (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 l (-.f64 x #s(literal 1 binary64))) (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)))))
▶	37.4%	(/.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)) (.f64 t #s(literal 2 binary64))) t (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) (.f64 l l)))))
	33.0%	(/.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)))))
	39.4%	(/.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 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (hypot.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l) x))))))
▶	2.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))))
	18.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (fma.f64 (.f64 (/.f64 t l) (/.f64 t l)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 l l)))))
	39.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t t) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
	69.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (hypot.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
▶	76.1%	(/.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 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	3.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
	75.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
	36.7%	(.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)))
	36.7%	(.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
	36.5%	(.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)))))))
	75.0%	#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)))))
	3.5%	#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)))
▶	74.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 948 to 658 computations (30.6% saved)

simplify230.0ms (1.7%)

Memory

-11.0MiB live, 238.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l))
cost-diff	128	(.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 t #s(literal 2 binary64)))
cost-diff	320	(-.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) (*.f64 l l))
cost-diff	832	(fma.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 t #s(literal 2 binary64))) t (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) (*.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

11 472×	`lower-fma.f32`
11 466×	`lower-fma.f64`
2 854×	`lower-*.f32`
2 832×	`lower-*.f64`
1 620×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	619
0	97	589
1	183	589
2	357	579
3	792	579
4	2507	579
5	6950	579
0	8317	569

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

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

localize251.0ms (1.9%)

Memory

30.3MiB live, 624.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3984375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	1.4999834856333614	(fma.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 t #s(literal 2 binary64))) t (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) (*.f64 l l)))
accuracy	28.07802067363348	(sqrt.f64 (fma.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 t #s(literal 2 binary64))) t (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) (*.f64 l l))))
accuracy	31.296103261538306	(-.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) (*.f64 l l))
accuracy	0.3984375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	12.731447004989832	(/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))
accuracy	25.891025327293715	(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	28.07802067363348	(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	7.339058587490385	(/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64)))
accuracy	28.07802067363348	(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l))))
accuracy	31.296103261538306	(-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l))
accuracy	40.75138033267821	#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	15.755520966585323	#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	0.00390625	(.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	0.08041000976844202	(/.f64 (.f64 (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	0.3984375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	15.278765332120436	#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

107.0ms	153×	1	valid
39.0ms	24×	2	valid
33.0ms	79×	0	valid

Compiler

Compiled 550 to 52 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 32.0ms (27.1% of total)

adjust: 21.0ms (17.8% of total)

ival-div: 20.0ms (16.9% of total)

ival-sub: 17.0ms (14.4% of total)

ival-sqrt: 14.0ms (11.8% of total)

ival-add: 13.0ms (11% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series136.0ms (1%)

Memory

-13.6MiB live, 302.7MiB 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>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (patch #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #<representation:binary64>) () ())
#s(alt #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (/ ( (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation:binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 #s(literal 1/2 binary64)) (patch (sqrt.f64 #s(literal 1/2 binary64)) #<representation:binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (patch (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) #<representation:binary64>) () ())
#s(alt (.f64 (-.f64 x #s(literal -1 binary64)) l) (patch (.f64 (-.f64 x #s(literal -1 binary64)) l) #<representation:binary64>) () ())
#s(alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (.f64 l l))))) (patch (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l))))) #<representation:binary64>) () ())
#s(alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l)))) (patch (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l)))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l))) (patch (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l))) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 t #s(literal 2 binary64))) t (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) (.f64 l l))) (patch (fma.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 t #s(literal 2 binary64))) t (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) (.f64 l l))) #<representation:binary64>) () ())
#s(alt (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) (.f64 l l)) (patch (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) (.f64 l l)) #<representation:binary64>) () ())
#s(alt (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 t #s(literal 2 binary64))) (patch (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 t #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) (patch (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) #<representation:binary64>) () ())
#s(alt (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (patch (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #<representation:binary64>) () ())
#s(alt #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (.f64 l l))) (patch #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (.f64 l l)))) (patch (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))) #<representation:binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l)) (patch (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l)) #<representation:binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 t #s(literal 2 binary64))) t (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) (.f64 l l)))) (patch (sqrt.f64 (fma.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 t #s(literal 2 binary64))) t (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) (.f64 l l)))) #<representation:binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)) (* (/ (- -1 x) (- 1 x)) (* t 2)) (* (/ (- -1 x) (- 1 x)) (* l l)) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))))
16.0ms	x	@	0	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)) (* (/ (- -1 x) (- 1 x)) (* t 2)) (* (/ (- -1 x) (- 1 x)) (* l l)) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))))
11.0ms	t	@	0	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)) (* (/ (- -1 x) (- 1 x)) (* t 2)) (* (/ (- -1 x) (- 1 x)) (* l l)) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))))
9.0ms	x	@	-inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)) (* (/ (- -1 x) (- 1 x)) (* t 2)) (* (/ (- -1 x) (- 1 x)) (* l l)) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))))
8.0ms	t	@	inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)) (* (/ (- -1 x) (- 1 x)) (* t 2)) (* (/ (- -1 x) (- 1 x)) (* l l)) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (* (- x -1) l) l) (- x 1)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))))

simplify571.0ms (4.3%)

Memory

-7.9MiB live, 593.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 040×	`lower-*.f64`
6 040×	`lower-*.f32`
4 658×	`lower-fma.f64`
4 658×	`lower-fma.f32`
2 914×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1666	44183
1	5947	43202
0	8083	41329

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

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

rewrite618.0ms (4.6%)

Memory

23.1MiB live, 575.6MiB allocated

Rules

4 456×	`lower-*.f32`
4 436×	`lower-*.f64`
4 328×	`lower-fma.f32`
4 322×	`lower-fma.f64`
4 014×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	458
0	95	444
1	370	415
2	3220	412
0	8941	412

Stop Event

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

Counts

23 → 979

Calls

Call 1

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

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

eval287.0ms (2.2%)

Memory: 19.3MiB live, 762.1MiB allocated
Compiler: Compiled 102 623 to 4 724 computations (95.4% saved)

prune55.0ms (0.4%)

Memory

-20.5MiB live, 161.0MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 669	12	1 681
Fresh	13	1	14
Picked	3	2	5
Done	0	0	0
Total	1 685	15	1 700

Accuracy

89.2%

Counts

1 700 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.8%	(/.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
▶	2.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal -1 binary64)) l) (.f64 (neg.f64 l) l)))))
	13.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (fma.f64 l l (.f64 #s(literal 1 binary64) (.f64 l l))) x)))))
	13.9%	(/.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)) (neg.f64 (/.f64 (fma.f64 (fma.f64 l l (.f64 #s(literal 1 binary64) (.f64 l l))) #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (.f64 l l)) (.f64 l l)) x)) x))))))
▶	48.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 t t)) (.f64 t t)) #s(literal 2 binary64) (neg.f64 (.f64 l l))) (*.f64 l l)) x))))))
✓	76.1%	(/.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 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	9.3%	(/.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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
	3.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) #s(literal -1 binary64))) l)))
▶	76.0%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))) (sqrt.f64 #s(literal 2 binary64)))
▶	75.8%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))))
	3.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (fma.f64 l (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (neg.f64 l)))))))
	75.0%	#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)))))
	9.1%	#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 #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)))
✓	74.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶	75.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 551 to 444 computations (19.4% saved)

simplify147.0ms (1.1%)

Memory

-8.9MiB live, 225.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 t t)) (.f64 t t)) #s(literal 2 binary64) (neg.f64 (.f64 l l))) (*.f64 l l)) x))))))
cost-diff	128	(neg.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 t t)) (.f64 t t)) #s(literal 2 binary64) (neg.f64 (.f64 l l))) (.f64 l l)) x))
cost-diff	256	(-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 t t)) (.f64 t t)) #s(literal 2 binary64) (neg.f64 (.f64 l l))) (.f64 l l))
cost-diff	512	(fma.f64 (-.f64 (neg.f64 (.f64 t t)) (.f64 t t)) #s(literal 2 binary64) (neg.f64 (*.f64 l l)))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #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)))))
cost-diff	128	(*.f64 (-.f64 x #s(literal -1 binary64)) l)
cost-diff	320	(fma.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal -1 binary64)) 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)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t)))
cost-diff	0	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))))
cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))
cost-diff	0	(/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t)))
cost-diff	0	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))

Rules

11 624×	`lower-fma.f32`
11 618×	`lower-fma.f64`
3 894×	`lower-*.f32`
3 876×	`lower-*.f64`
2 134×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	830
0	102	830
1	206	768
2	448	736
3	1216	736
4	4519	732
0	8666	647

Stop Event

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

Calls

Call 1

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

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

localize254.0ms (1.9%)

Memory

4.2MiB live, 438.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.3984375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	5.039060435830207	(fma.f64 (.f64 t t) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 t t)) (.f64 t t)) #s(literal 2 binary64) (neg.f64 (.f64 l l))) (*.f64 l l)) x)))
accuracy	12.720991799155168	(/.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 t t)) (.f64 t t)) #s(literal 2 binary64) (neg.f64 (.f64 l l))) (.f64 l l)) x)
accuracy	28.07802067363348	(sqrt.f64 #s(approx (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 t t)) (.f64 t t)) #s(literal 2 binary64) (neg.f64 (.f64 l l))) (*.f64 l l)) x)))))
accuracy	0.3984375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	28.07802067363348	(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))) (.f64 (-.f64 x #s(literal -1 binary64)) l) (.f64 (neg.f64 l) l))))
accuracy	38.68453296817196	(fma.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) (.f64 (-.f64 x #s(literal -1 binary64)) l) (.f64 (neg.f64 l) l))
accuracy	40.75138033267821	#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)))
accuracy	0.13671875	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))))
accuracy	0.390625	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t)
accuracy	0.41634750976844204	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t)))
accuracy	15.278765332120436	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))
accuracy	15.755520966585323	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
accuracy	0.38671875	(/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t)))
accuracy	0.390625	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t)
accuracy	0.8561325195368841	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	15.278765332120436	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))

Samples

125.0ms	152×	1	valid
29.0ms	80×	0	valid
23.0ms	24×	2	valid

Compiler

Compiled 630 to 56 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 38.0ms (30.4% of total)

ival-div: 20.0ms (16% of total)

adjust: 17.0ms (13.6% of total)

ival-add: 15.0ms (12% of total)

ival-sub: 14.0ms (11.2% of total)

ival-sqrt: 11.0ms (8.8% of total)

ival-neg: 9.0ms (7.2% of total)

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

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

exact: 0.0ms (0% of total)

series153.0ms (1.2%)

Memory

17.3MiB live, 374.8MiB allocated

Counts

22 → 648

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	((* 2 (/ (- -1 x) (- 1 x))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* t (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))) (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2) (+ (* (/ l (- x 1)) (* (- x -1) l)) (* (neg l) l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (/ (* (sqrt 2) t) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))))) (* (sqrt (* 2 (/ (- -1 x) (- 1 x)))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x) (+ (* (* t t) 2) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x))))
14.0ms	x	@	0	((* 2 (/ (- -1 x) (- 1 x))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* t (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))) (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2) (+ (* (/ l (- x 1)) (* (- x -1) l)) (* (neg l) l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (/ (* (sqrt 2) t) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))))) (* (sqrt (* 2 (/ (- -1 x) (- 1 x)))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x) (+ (* (* t t) 2) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x))))
11.0ms	t	@	inf	((* 2 (/ (- -1 x) (- 1 x))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* t (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))) (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2) (+ (* (/ l (- x 1)) (* (- x -1) l)) (* (neg l) l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (/ (* (sqrt 2) t) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))))) (* (sqrt (* 2 (/ (- -1 x) (- 1 x)))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x) (+ (* (* t t) 2) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x))))
11.0ms	l	@	inf	((* 2 (/ (- -1 x) (- 1 x))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* t (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))) (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2) (+ (* (/ l (- x 1)) (* (- x -1) l)) (* (neg l) l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (/ (* (sqrt 2) t) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))))) (* (sqrt (* 2 (/ (- -1 x) (- 1 x)))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x) (+ (* (* t t) 2) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x))))
11.0ms	x	@	inf	((* 2 (/ (- -1 x) (- 1 x))) (* (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2)) (/ t (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* t (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))) (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2) (+ (* (/ l (- x 1)) (* (- x -1) l)) (* (neg l) l)) (* (- x -1) l) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (/ (* (sqrt 2) t) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))))) (* (sqrt (* 2 (/ (- -1 x) (- 1 x)))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x) (+ (* (* t t) 2) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x))))

simplify343.0ms (2.6%)

Memory

8.5MiB live, 479.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 204×	`lower-*.f64`
7 204×	`lower-*.f32`
7 132×	`lower-fma.f64`
7 132×	`lower-fma.f32`
4 608×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1724	53914
1	6103	46358
0	8821	42389

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 647

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

rewrite223.0ms (1.7%)

Memory

-0.4MiB live, 274.0MiB allocated

Rules

6 024×	`lower-*.f32`
6 006×	`lower-*.f64`
4 696×	`lower-fma.f32`
4 690×	`lower-fma.f64`
4 166×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	602
0	102	602
1	421	551
2	3500	548
0	10046	512

Stop Event

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

Counts

22 → 378

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (pow.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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)))
(.f64 (/.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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) t)
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(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)) #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) t) (/.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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (sqrt.f64 #s(literal 2 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
(/.f64 (.f64 t #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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
(/.f64 t (/.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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(.f64 (pow.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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)) t)
(.f64 (neg.f64 t) (pow.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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) #s(literal -1 binary64)))
(.f64 t (pow.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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (sqrt.f64 #s(literal 2 binary64)) t) (pow.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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)))
(.f64 (/.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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) t)
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(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)) #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) t) (/.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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (sqrt.f64 #s(literal 2 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
(/.f64 (.f64 t #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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 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 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
(/.f64 t (/.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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(.f64 (pow.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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(pow.f64 (/.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) 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 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
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(pow.f64 (/.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)) (.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) (-.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) (.f64 (.f64 t #s(literal 2 binary64)) t)))) (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (fma.f64 (.f64 t #s(literal 2 binary64)) t (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x))) (.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x)) (pow.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x)) (fma.f64 (.f64 t #s(literal 2 binary64)) t (/.f64 (-.f64 (*.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)))) (-.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) (.f64 (*.f64 t #s(literal 2 binary64)) t)))
(/.f64 (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64))) (pow.f64 (/.f64 x (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l))) #s(literal -3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 t #s(literal 2 binary64)) t) (/.f64 (-.f64 (*.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)) (.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) (-.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) (.f64 (.f64 t #s(literal 2 binary64)) t))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x) #s(literal 2 binary64))) (fma.f64 (.f64 t #s(literal 2 binary64)) t (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) (.f64 (*.f64 t #s(literal 2 binary64)) t)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)) (.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) (-.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) (.f64 (.f64 t #s(literal 2 binary64)) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)) (.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) (-.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) (.f64 (.f64 t #s(literal 2 binary64)) t)))) (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) #s(literal 3 binary64)))))
(fma.f64 (neg.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l))) (pow.f64 x #s(literal -1 binary64)) (.f64 (*.f64 t #s(literal 2 binary64)) t))
(fma.f64 (.f64 t #s(literal 2 binary64)) t (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)))
(fma.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x) #s(literal -1 binary64) (.f64 (*.f64 t #s(literal 2 binary64)) t))
(fma.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 (pow.f64 x #s(literal -1 binary64))) (.f64 (*.f64 t #s(literal 2 binary64)) t))
(fma.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (*.f64 t #s(literal 2 binary64)) t))
(fma.f64 (.f64 t t) #s(literal 2 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)))
(fma.f64 t (.f64 t #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x) (.f64 (*.f64 t #s(literal 2 binary64)) t))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)))
(-.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t #s(literal 0 binary64)) (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (fma.f64 (.f64 t #s(literal 2 binary64)) t (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x))) (/.f64 (pow.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x) #s(literal 2 binary64)) (fma.f64 (.f64 t #s(literal 2 binary64)) t (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x) (.f64 (*.f64 t #s(literal 2 binary64)) t)))
(-.f64 (.f64 (.f64 t #s(literal 2 binary64)) t) (/.f64 (-.f64 (*.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) x))
(+.f64 (-.f64 (.f64 (.f64 t #s(literal 2 binary64)) t) (/.f64 (fma.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64) (.f64 (neg.f64 l) l)) x)) (/.f64 (.f64 l l) x))
(+.f64 (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)) (.f64 (*.f64 t #s(literal 2 binary64)) t))
(+.f64 (.f64 (.f64 t #s(literal 2 binary64)) t) (/.f64 (-.f64 (*.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x)))

eval199.0ms (1.5%)

Memory: -7.8MiB live, 302.3MiB allocated
Compiler: Compiled 63 887 to 4 305 computations (93.3% saved)

prune51.0ms (0.4%)

Memory

4.1MiB live, 126.5MiB allocated

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1 129	21	1 150
Fresh	2	6	8
Picked	3	2	5
Done	0	2	2
Total	1 134	31	1 165

Accuracy

89.3%

Counts

1 165 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.5%	(/.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (.f64 t t)) (.f64 t t)) #s(literal 2 binary64) (neg.f64 (.f64 l l))) (*.f64 l l)) x))))))
	4.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (fma.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (neg.f64 l))))))
▶	13.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (fma.f64 l l (.f64 #s(literal 1 binary64) (.f64 l l))) x)))))
	13.9%	(/.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)) (neg.f64 (/.f64 (fma.f64 (fma.f64 l l (.f64 #s(literal 1 binary64) (.f64 l l))) #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (.f64 l l)) (.f64 l l)) x)) x))))))
	11.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* (/ l (- x 1)) (* (- x -1) l)) (* (neg l) l)) (-.f64 (+.f64 (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 l l) x)) (/.f64 (.f64 l l) (.f64 x x))) (/.f64 (.f64 l l) x)) (/.f64 (.f64 (neg.f64 l) l) (.f64 x x)))))))
	33.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64) (.f64 l l)) #s(literal -1 binary64)) (.f64 (neg.f64 l) l)) x))))))
	19.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) x) (.f64 (.f64 x (fma.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64) (.f64 l l))) (.f64 l l))) (.f64 (.f64 x (fma.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64) (.f64 l l))) x)))))))
▶	48.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 #s(approx (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (.f64 (neg.f64 l) l)) (.f64 l l)) x))))))
	40.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) (neg.f64 (/.f64 #s(approx (- (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) (.f64 (fma.f64 (/.f64 (.f64 l l) (.f64 t t)) #s(literal -2 binary64) #s(literal -4 binary64)) (.f64 t t))) x))))))
▶	31.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) #s(approx (neg (/ (- (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (.f64 (fma.f64 (/.f64 (.f64 t t) (.f64 x (.f64 l l))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 l l)))))))
	36.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (exp.f64 (.f64 (log.f64 #s(approx (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t #s(literal 2 binary64)) t (/.f64 (-.f64 (.f64 (neg.f64 (hypot.f64 t t)) #s(literal 2 binary64)) (hypot.f64 l l)) (neg.f64 x))))) #s(literal 1/2 binary64))))
✓	76.1%	(/.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 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	9.3%	(/.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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
	3.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) #s(literal -1 binary64))) l)))
	9.3%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) (sqrt.f64 #s(literal 2 binary64)))
	74.6%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
	75.3%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- -1 x) (- 1 x))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))
▶	75.6%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t)) (sqrt.f64 #s(literal 2 binary64)))
	9.1%	(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 t l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
	75.0%	(.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)))
✓	75.8%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))))
	75.1%	(.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 #s(approx ( 2 (/ (- -1 x) (- 1 x))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))))
▶	75.0%	(.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 #s(approx ( 2 (/ (- -1 x) (- 1 x))) #s(literal 2 binary64))) t))))
	75.4%	(.f64 t (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (sqrt.f64 #s(literal 2 binary64)))))
	3.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (fma.f64 l (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (neg.f64 l)))))))
	3.2%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (.f64 l (-.f64 (.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) l))))))
	69.1%	(.f64 t (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))))
	9.3%	(.f64 t #s(approx (/ (sqrt 2) (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))))
	9.1%	#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 #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)))
✓	74.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	75.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 1 381 to 1 015 computations (26.5% saved)

simplify144.0ms (1.1%)

Memory

14.1MiB live, 168.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(approx (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) #s(approx (neg (/ (- (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (.f64 (fma.f64 (/.f64 (.f64 t t) (.f64 x (.f64 l l))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 l l))))))
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 (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) #s(approx (neg (/ (- (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (.f64 (fma.f64 (/.f64 (.f64 t t) (.f64 x (.f64 l l))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 l l)))))))
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 (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 #s(approx (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (.f64 (neg.f64 l) l)) (.f64 l l)) x))))))
cost-diff	128	(neg.f64 (/.f64 (-.f64 #s(approx (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (.f64 (neg.f64 l) l)) (.f64 l l)) x))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (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 #s(literal 1 binary64) (.f64 l l))) x)))))
cost-diff	320	(.f64 #s(literal 1 binary64) (.f64 l l))
cost-diff	0	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- -1 x) (- 1 x))) #s(literal 2 binary64))) t))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- -1 x) (- 1 x))) #s(literal 2 binary64))) t)))
cost-diff	0	(.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 #s(approx ( 2 (/ (- -1 x) (- 1 x))) #s(literal 2 binary64))) t))))
cost-diff	0	(/.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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t)
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	128	(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))

Rules

7 888×	`lower-fma.f32`
7 880×	`lower-fma.f64`
3 674×	`lower-*.f32`
3 650×	`lower-*.f64`
1 914×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1308
0	132	1275
1	278	1176
2	672	1130
3	1857	1130
4	5891	1100
0	8300	957

Stop Event

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

Calls

Call 1

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

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

localize270.0ms (2%)

Memory

22.7MiB live, 343.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	10.233909637445988	(.f64 x (.f64 l l))
accuracy	19.203136279901074	(/.f64 (.f64 t t) (.f64 x (*.f64 l l)))
accuracy	19.499621294626024	(.f64 (fma.f64 (/.f64 (.f64 t t) (.f64 x (.f64 l l))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 l l))
accuracy	28.07802067363348	(sqrt.f64 #s(approx (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) #s(approx (neg (/ (- (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (.f64 (fma.f64 (/.f64 (.f64 t t) (.f64 x (.f64 l l))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 l l))))))
accuracy	5.039060435830207	(fma.f64 (.f64 t t) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 #s(approx (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (.f64 (neg.f64 l) l)) (.f64 l l)) x)))
accuracy	12.720991799155168	(/.f64 (-.f64 #s(approx (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (.f64 (neg.f64 l) l)) (.f64 l l)) x)
accuracy	28.07802067363348	(sqrt.f64 #s(approx (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 #s(approx (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (.f64 (neg.f64 l) l)) (.f64 l l)) x)))))
accuracy	32.44729304171652	#s(approx (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (*.f64 (neg.f64 l) l))
accuracy	0.42199972142708186	#s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (fma.f64 l l (.f64 #s(literal 1 binary64) (.f64 l l))) x))
accuracy	7.106708829714589	(/.f64 (fma.f64 l l (.f64 #s(literal 1 binary64) (.f64 l l))) x)
accuracy	28.07802067363348	(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 #s(literal 1 binary64) (.f64 l l))) x))))
accuracy	40.75138033267821	#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 #s(literal 1 binary64) (.f64 l l))) x)))
accuracy	0.390625	(.f64 (sqrt.f64 #s(approx ( 2 (/ (- -1 x) (- 1 x))) #s(literal 2 binary64))) t)
accuracy	0.41634750976844204	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- -1 x) (- 1 x))) #s(literal 2 binary64))) t)))
accuracy	0.6804640856680247	#s(approx (* 2 (/ (- -1 x) (- 1 x))) #s(literal 2 binary64))
accuracy	15.278765332120436	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- -1 x) (- 1 x))) #s(literal 2 binary64))) t))
accuracy	0.390625	(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)
accuracy	0.8033523886044992	(/.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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
accuracy	0.8561325195368841	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	15.278765332120436	#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)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))

Samples

143.0ms	153×	1	valid
34.0ms	80×	0	valid
26.0ms	23×	2	valid

Compiler

Compiled 818 to 71 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-mult: 50.0ms (31.6% of total)

ival-div: 30.0ms (19% of total)

ival-sqrt: 24.0ms (15.2% of total)

adjust: 19.0ms (12% of total)

ival-sub: 17.0ms (10.8% of total)

ival-add: 12.0ms (7.6% of total)

ival-neg: 4.0ms (2.5% of total)

exact: 1.0ms (0.6% of total)

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

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

series154.0ms (1.2%)

Memory

-23.4MiB live, 206.4MiB allocated

Counts

30 → 876

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	((/ 1 (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t)) (* (- x -1) 2) (* (/ 1 (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t)) (sqrt 2)) (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (* t (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))) (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* 1 (* l l)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (/ (* (sqrt 2) t) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))))) (/ (* (sqrt 2) t) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))))) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (/ (* (- x -1) 2) (- x 1))) t) (* 2 (/ (- -1 x) (- 1 x))) (* (sqrt (* 2 (/ (- -1 x) (- 1 x)))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (+ (* l l) (* 1 (* l l))) x) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x) (+ (* (* t t) 2) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x))) (* (+ (* (/ (* t t) (* x (* l l))) 4) (/ 2 x)) (* l l)) (/ (* t t) (* x (* l l))) (* x (* l l)))
7.0ms	l	@	inf	((/ 1 (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t)) (* (- x -1) 2) (* (/ 1 (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t)) (sqrt 2)) (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (* t (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))) (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* 1 (* l l)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (/ (* (sqrt 2) t) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))))) (/ (* (sqrt 2) t) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))))) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (/ (* (- x -1) 2) (- x 1))) t) (* 2 (/ (- -1 x) (- 1 x))) (* (sqrt (* 2 (/ (- -1 x) (- 1 x)))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (+ (* l l) (* 1 (* l l))) x) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x) (+ (* (* t t) 2) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x))) (* (+ (* (/ (* t t) (* x (* l l))) 4) (/ 2 x)) (* l l)) (/ (* t t) (* x (* l l))) (* x (* l l)))
6.0ms	x	@	-inf	((/ 1 (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t)) (* (- x -1) 2) (* (/ 1 (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t)) (sqrt 2)) (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (* t (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))) (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* 1 (* l l)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (/ (* (sqrt 2) t) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))))) (/ (* (sqrt 2) t) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))))) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (/ (* (- x -1) 2) (- x 1))) t) (* 2 (/ (- -1 x) (- 1 x))) (* (sqrt (* 2 (/ (- -1 x) (- 1 x)))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (+ (* l l) (* 1 (* l l))) x) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x) (+ (* (* t t) 2) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x))) (* (+ (* (/ (* t t) (* x (* l l))) 4) (/ 2 x)) (* l l)) (/ (* t t) (* x (* l l))) (* x (* l l)))
6.0ms	t	@	0	((/ 1 (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t)) (* (- x -1) 2) (* (/ 1 (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t)) (sqrt 2)) (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (* t (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))) (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* 1 (* l l)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (/ (* (sqrt 2) t) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))))) (/ (* (sqrt 2) t) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))))) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (/ (* (- x -1) 2) (- x 1))) t) (* 2 (/ (- -1 x) (- 1 x))) (* (sqrt (* 2 (/ (- -1 x) (- 1 x)))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (+ (* l l) (* 1 (* l l))) x) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x) (+ (* (* t t) 2) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x))) (* (+ (* (/ (* t t) (* x (* l l))) 4) (/ 2 x)) (* l l)) (/ (* t t) (* x (* l l))) (* x (* l l)))
6.0ms	t	@	-inf	((/ 1 (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t)) (* (- x -1) 2) (* (/ 1 (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t)) (sqrt 2)) (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (* t (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))) (/ (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* 1 (* l l)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (/ (* (sqrt 2) t) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))))) (/ (* (sqrt 2) t) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))))) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (/ (* (- x -1) 2) (- x 1))) t) (* 2 (/ (- -1 x) (- 1 x))) (* (sqrt (* 2 (/ (- -1 x) (- 1 x)))) t) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (+ (* l l) (* 1 (* l l))) x) (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (sqrt (+ (* (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x) (+ (* (* t t) 2) (neg (/ (- (+ (* (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x))) (* (+ (* (/ (* t t) (* x (* l l))) 4) (/ 2 x)) (* l l)) (/ (* t t) (* x (* l l))) (* x (* l l)))

simplify384.0ms (2.9%)

Memory

39.4MiB live, 504.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 538×	`lower-*.f64`
7 538×	`lower-*.f32`
5 512×	`lower-fma.f64`
5 512×	`lower-fma.f32`
3 258×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1906	63623
1	6764	61894
0	8141	56407

Stop Event

1×	iter limit
1×	node limit

Counts

876 → 876

Calls

Call 1

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

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

rewrite250.0ms (1.9%)

Memory

-19.7MiB live, 253.8MiB allocated

Rules

5 524×	`lower-fma.f32`
5 516×	`lower-fma.f64`
4 646×	`lower-*.f32`
4 622×	`lower-*.f64`
3 228×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	939
0	132	914
1	571	828
2	4706	828
0	8785	789

Stop Event

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

Counts

30 → 395

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (neg.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (neg.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) #s(literal -1 binary64)) (neg.f64 t))
(.f64 (pow.f64 (/.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))) #s(literal 1/2 binary64)) (pow.f64 (/.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))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (neg.f64 t)) #s(literal -1 binary64)))
(.f64 t (pow.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)))
(.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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t) (/.f64 #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(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.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))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.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))) #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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t) #s(literal -1 binary64))
(/.f64 (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64)))
(/.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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (neg.f64 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)))
(/.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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) 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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t)) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(.f64 (/.f64 (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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))) (neg.f64 t))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(.f64 (/.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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) t)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64))) t)
(.f64 (pow.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 t #s(literal -1 binary64))))
(.f64 (pow.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 2 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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (/.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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) 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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (/.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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) (pow.f64 t #s(literal -1 binary64)))
(/.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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (neg.f64 t)))
(/.f64 (neg.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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (neg.f64 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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (log.f64 (/.f64 #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(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 #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(literal -1 binary64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (neg.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 t) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (/.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))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.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))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64)))
(.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
(.f64 (neg.f64 #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))) (pow.f64 (neg.f64 t) #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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) t) #s(literal 1 binary64))
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(/.f64 (.f64 (.f64 l l) (-.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 l l) x)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 t (.f64 l l))) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (.f64 l l) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) (.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 l l) x)) #s(literal 3 binary64))))) (-.f64 (hypot.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 t (.f64 l l))) (/.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 t (.f64 l l))) (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 t (.f64 l l))) (.f64 l l) (.f64 (/.f64 #s(literal 2 binary64) x) (.f64 l l)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 l l) (.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 t (.f64 l l))) (.f64 l l)))
(fma.f64 (.f64 l l) (.f64 (.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 t (.f64 l l))) (.f64 (.f64 l l) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (.f64 l l) (/.f64 #s(literal 2 binary64) x) (.f64 (.f64 l l) (.f64 (.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 t (.f64 l l)))))
(+.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 t (.f64 l l))) (.f64 l l)) (.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 l l)))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (.f64 l l)) (.f64 (.f64 (.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 t (.f64 l l))) (*.f64 l l)))
(+.f64 (.f64 (.f64 l l) (.f64 (.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 t (.f64 l l)))) (.f64 (*.f64 l l) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 (.f64 l l) (/.f64 #s(literal 2 binary64) x)) (.f64 (.f64 l l) (.f64 (.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 t (*.f64 l l)))))
(.f64 (pow.f64 (/.f64 (.f64 l x) t) #s(literal -1 binary64)) (pow.f64 (/.f64 l t) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 l x) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 t t)) #s(literal -1 binary64)))
(.f64 (pow.f64 l #s(literal -2 binary64)) (.f64 t (/.f64 t x)))
(.f64 (/.f64 t (.f64 l x)) (/.f64 t l))
(.f64 (/.f64 (/.f64 t (.f64 l l)) x) t)
(.f64 (.f64 t (/.f64 t x)) (pow.f64 l #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) x) (pow.f64 (pow.f64 t #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) x) (.f64 t t))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 l l) (*.f64 t t)) #s(literal -1 binary64)))
(.f64 (/.f64 t (.f64 l l)) (/.f64 t x))
(.f64 (/.f64 t x) (/.f64 t (.f64 l l)))
(.f64 (neg.f64 t) (/.f64 t (.f64 (*.f64 l x) (neg.f64 l))))
(.f64 (.f64 t t) (/.f64 (pow.f64 l #s(literal -2 binary64)) x))
(.f64 (.f64 (neg.f64 t) t) (pow.f64 (.f64 (.f64 l x) (neg.f64 l)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 t t) (.f64 (.f64 l x) (neg.f64 l))))
(.f64 t (/.f64 (/.f64 t (.f64 l l)) x))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 l #s(literal -2 binary64)) (*.f64 t (/.f64 t x))))
(pow.f64 (/.f64 (.f64 l l) (.f64 t (/.f64 t x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (/.f64 (.f64 l x) t) (/.f64 l t)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 l x) t) (/.f64 l t)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 t (/.f64 t x)) l) l)
(/.f64 (/.f64 (.f64 t (/.f64 t x)) #s(literal 1 binary64)) (.f64 l l))
(/.f64 (.f64 t (/.f64 t (.f64 l l))) x)
(/.f64 (.f64 (/.f64 t x) t) (.f64 l l))
(/.f64 (.f64 (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 l l) x))
(/.f64 (/.f64 (.f64 t t) (.f64 l x)) l)
(/.f64 (/.f64 (.f64 t t) (.f64 l l)) x)
(/.f64 (neg.f64 (.f64 t (/.f64 t x))) (.f64 (neg.f64 l) l))
(/.f64 (neg.f64 (.f64 (neg.f64 t) t)) (neg.f64 (.f64 (*.f64 l x) (neg.f64 l))))
(/.f64 (.f64 t (/.f64 t x)) (.f64 l l))
(/.f64 (.f64 (pow.f64 l #s(literal -2 binary64)) (.f64 t (/.f64 t x))) #s(literal 1 binary64))
(/.f64 (.f64 t t) (.f64 (*.f64 l l) x))
(/.f64 (.f64 (neg.f64 t) t) (.f64 (*.f64 l x) (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (.f64 l x) t) (/.f64 l t))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 l l) (.f64 t (/.f64 t x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 l x) t) (/.f64 l t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 l x) t) (/.f64 l t)))
(neg.f64 (/.f64 (.f64 (neg.f64 t) t) (.f64 (*.f64 l l) x)))
(neg.f64 (/.f64 (.f64 t t) (.f64 (*.f64 l x) (neg.f64 l))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 l x) (neg.f64 l))) (/.f64 (.f64 t t) (.f64 (*.f64 l x) (neg.f64 l))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (*.f64 l x) t) (/.f64 l t))) #s(literal -1 binary64)))
(.f64 (.f64 l x) l)
(.f64 (.f64 (*.f64 l l) x) #s(literal 1 binary64))
(.f64 (.f64 l l) x)
(.f64 l (.f64 l x))
(.f64 x (.f64 l l))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) x))

eval280.0ms (2.1%)

Memory: 42.6MiB live, 377.3MiB allocated
Compiler: Compiled 75 643 to 4 631 computations (93.9% saved)

prune94.0ms (0.7%)

Memory

6.2MiB live, 170.3MiB allocated

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	1 314	21	1 335
Fresh	9	13	22
Picked	4	1	5
Done	2	2	4
Total	1 329	37	1 366

Accuracy

93.1%

Counts

1 366 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.4%	(/.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (fma.f64 l l (.f64 #s(literal 1 binary64) (.f64 l l))) x)))))
	4.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (fma.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (neg.f64 l))))))
	13.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (/.f64 (-.f64 (fma.f64 l l (/.f64 (.f64 l l) x)) (neg.f64 (fma.f64 l l (/.f64 (.f64 l l) x)))) x)))))
	13.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (- (/ (* (* (- x -1) l) l) (- x 1)) (* l l)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) x))))))
	11.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* (/ l (- x 1)) (* (- x -1) l)) (* (neg l) l)) (-.f64 (+.f64 (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 l l) x)) (/.f64 (.f64 l l) (.f64 x x))) (/.f64 (.f64 l l) x)) (/.f64 (.f64 (neg.f64 l) l) (.f64 x x)))))))
	48.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 (neg.f64 l) l #s(approx (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (*.f64 (neg.f64 l) l)))))))))
	40.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) (neg.f64 (/.f64 #s(approx (- (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) (.f64 (fma.f64 (/.f64 (.f64 l l) (.f64 t t)) #s(literal -2 binary64) #s(literal -4 binary64)) (.f64 t t))) x))))))
	48.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) #s(approx (neg (/ (- (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (.f64 (/.f64 (.f64 l l) x) #s(literal 2 binary64)))))))
	37.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) #s(approx (neg (/ (- (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 t (.f64 l l)) (/.f64 #s(literal 2 binary64) x)) l) l))))))
	28.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) #s(approx (neg (/ (- (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) #s(approx (* (+ (* (/ (* t t) (* x (* l l))) 4) (/ 2 x)) (* l l)) (.f64 (.f64 (neg.f64 l) l) (/.f64 (fma.f64 (/.f64 (.f64 t t) (.f64 l l)) #s(literal -4 binary64) #s(literal -2 binary64)) x))))))))
	9.3%	(/.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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
	3.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) #s(literal -1 binary64))) l)))
	75.1%	(/.f64 t (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- -1 x) (- 1 x))) #s(literal 2 binary64))) t)) (sqrt.f64 #s(literal 2 binary64))))
	48.9%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 l) l #s(approx (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (.f64 (neg.f64 l) l))) (neg.f64 x))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
	75.4%	(.f64 (/.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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) t)
	9.3%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) (sqrt.f64 #s(literal 2 binary64)))
	75.3%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- -1 x) (- 1 x))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))
	75.2%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) t)) (sqrt.f64 #s(literal 2 binary64)))
	8.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (.f64 (fma.f64 (.f64 (/.f64 t (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) t)) l))) (sqrt.f64 #s(literal 2 binary64)))
	9.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (*.f64 (/.f64 l t) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
	76.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
	9.1%	(.f64 #s(approx (/ t (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 t l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
	75.0%	(.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)))
	74.0%	(.f64 t (/.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- -1 x) (- 1 x))) #s(literal 2 binary64))) t))))
	48.9%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 l) l #s(approx (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (*.f64 (neg.f64 l) l))) (neg.f64 x)))))))
	31.0%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 t t) #s(literal 2 binary64) #s(approx (neg (/ (- (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 t (.f64 l l)) (/.f64 #s(literal 2 binary64) x)) (.f64 l l))))))))
	75.1%	(.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 #s(approx ( 2 (/ (- -1 x) (- 1 x))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))))
✓	75.0%	(.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 #s(approx ( 2 (/ (- -1 x) (- 1 x))) #s(literal 2 binary64))) t))))
	75.1%	(.f64 t (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- -1 x) (- 1 x))) #s(literal 2 binary64))) t)) (sqrt.f64 #s(literal 2 binary64)))))
	49.0%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 l) l #s(approx (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (*.f64 (neg.f64 l) l))) (neg.f64 x)))) #s(literal -1/2 binary64))))
	3.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 l (fma.f64 l (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (neg.f64 l)))))))
	3.2%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (.f64 l (-.f64 (.f64 (/.f64 l (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) l))))))
	68.8%	(.f64 t (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- -1 x) (- 1 x))) #s(literal 2 binary64))) t)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))))
	9.3%	(.f64 t #s(approx (/ (sqrt 2) (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))))
	9.1%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l) (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)))))))
✓	74.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	75.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 2 541 to 1 029 computations (59.5% saved)

regimes140.0ms (1.1%)

Memory

-32.0MiB live, 221.6MiB allocated

Counts

74 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

29.0ms	(*.f64 l l)
26.0ms	x
22.0ms	t
21.0ms	l
19.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
76.1%	1	`x`
82.0%	3	`l`
82.2%	3	`t`
79.4%	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))))`
76.1%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
79.4%	2	`(*.f64 l l)`

Compiler

Compiled 40 to 38 computations (5% saved)

regimes21.0ms (0.2%)

Memory

-10.5MiB live, 28.8MiB allocated

Counts

58 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
82.1%	3	`t`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Counts

29 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
82.1%	3	`t`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes34.0ms (0.3%)

Memory

-9.6MiB live, 66.9MiB allocated

Counts

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

Outputs

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

Calls

5 calls:

8.0ms	l
7.0ms	t
7.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
6.0ms	(*.f64 l l)
5.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Results

Accuracy	Segments	Branch
76.1%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
76.1%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
76.1%	1	`(*.f64 l l)`
76.1%	1	`l`
76.1%	1	`t`

Compiler

Compiled 39 to 35 computations (10.3% saved)

regimes40.0ms (0.3%)

Memory

13.7MiB live, 93.3MiB allocated

Counts

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

Outputs

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

Calls

6 calls:

9.0ms	l
6.0ms	x
6.0ms	t
6.0ms	(/.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))))
6.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
76.0%	1	`x`
76.0%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
76.0%	1	`(*.f64 l l)`
76.0%	1	`l`
76.0%	1	`t`
76.0%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 40 to 38 computations (5% saved)

regimes30.0ms (0.2%)

Memory

16.3MiB live, 55.5MiB allocated

Counts

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

Outputs

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

Calls

6 calls:

5.0ms	t
5.0ms	x
5.0ms	l
5.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
4.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
75.8%	1	`x`
75.8%	1	`l`
75.8%	1	`t`
75.8%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
75.8%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
75.8%	1	`(*.f64 l l)`

Compiler

Compiled 40 to 38 computations (5% saved)

regimes181.0ms (1.4%)

Memory

-0.2MiB live, 38.3MiB allocated

Counts

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

Outputs

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

Calls

6 calls:

158.0ms	(*.f64 l l)
5.0ms	x
5.0ms	l
5.0ms	t
4.0ms	(/.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
75.4%	1	`x`
75.4%	1	`l`
75.4%	1	`t`
75.4%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
75.4%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
75.4%	1	`(*.f64 l l)`

Compiler

Compiled 40 to 38 computations (5% saved)

regimes43.0ms (0.3%)

Memory

-8.7MiB live, 34.7MiB allocated

Accuracy

Total -47.5b remaining (-301.6%)

Threshold costs -47.5b (-301.6%)

Counts

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

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:

21.0ms	t
4.0ms	l
4.0ms	x
4.0ms	(*.f64 l l)
4.0ms	(/.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
75.4%	1	`x`
75.4%	1	`l`
75.4%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
75.4%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
75.4%	1	`(*.f64 l l)`
75.4%	1	`t`

Compiler

Compiled 40 to 38 computations (5% saved)

bsearch86.0ms (0.6%)

Memory

-4.2MiB live, 71.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.0385637292478054e+23	1.4656736197252195e+24
62.0ms	2.0646522245159105e-223	4.805646010323502e-219

Samples

19.0ms	96×	1	valid
10.0ms	103×	0	valid
7.0ms	41×	1	invalid
2.0ms	9×	2	valid
2.0ms	8×	2	invalid
0.0ms	3×	0	invalid

Compiler

Compiled 456 to 399 computations (12.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 8.0ms (25% of total)

adjust: 7.0ms (21.9% of total)

ival-div: 5.0ms (15.6% of total)

ival-sub: 4.0ms (12.5% of total)

ival-sqrt: 4.0ms (12.5% of total)

ival-add: 4.0ms (12.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.0385637292478054e+23	1.4656736197252195e+24
1.0ms	2.0646522245159105e-223	4.805646010323502e-219

Compiler

Compiled 443 to 386 computations (12.9% saved)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.0385637292478054e+23	1.4656736197252195e+24
1.0ms	2.0646522245159105e-223	4.805646010323502e-219

Compiler

Compiled 391 to 360 computations (7.9% saved)

simplify74.0ms (0.6%)

Memory

-30.7MiB live, 50.8MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`-commutative-binary64-.f64`
22×	`+-commutative-binary64-+.f64`
22×	`sub-neg-binary64-neg.f64-+.f64--.f64`
14×	`neg-sub0-binary64--.f64-neg.f64`
14×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	615
1	130	615
2	148	615
3	162	615
4	167	615
5	168	615

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 8394030620004089/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) (if (<=.f64 t #s(literal 1060000000000000025165824 binary64)) (.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 l) l #s(approx (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (.f64 (neg.f64 l) l))) (neg.f64 x)))) #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 t #s(literal 8394030620004089/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) (if (<=.f64 t #s(literal 1060000000000000025165824 binary64)) (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 l) l #s(approx (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (.f64 (neg.f64 l) l))) (neg.f64 x))))))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 t #s(literal 8394030620004089/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) (if (<=.f64 t #s(literal 1060000000000000025165824 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) #s(approx (neg (/ (- (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (.f64 (/.f64 (.f64 l l) x) #s(literal 2 binary64))))))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))))
(.f64 (/.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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) t)
#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 8394030620004089/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) (if (<=.f64 t #s(literal 1060000000000000025165824 binary64)) (.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 l) l #s(approx (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (.f64 (neg.f64 l) l))) (neg.f64 x)))) #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 t #s(literal 8394030620004089/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) (if (<=.f64 t #s(literal 1060000000000000025165824 binary64)) (.f64 (.f64 (pow.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 l) l #s(approx (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (.f64 (neg.f64 l) l))) (neg.f64 x)))) #s(literal -1/2 binary64)) (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))) t) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 t #s(literal 8394030620004089/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) (if (<=.f64 t #s(literal 1060000000000000025165824 binary64)) (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 l) l #s(approx (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (.f64 (neg.f64 l) l))) (neg.f64 x))))))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 t #s(literal 8394030620004089/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) (if (<=.f64 t #s(literal 1060000000000000025165824 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 l) l #s(approx (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (.f64 (neg.f64 l) l))) (neg.f64 x)))))) t) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 t #s(literal 8394030620004089/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) (if (<=.f64 t #s(literal 1060000000000000025165824 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (* (/ (- -1 x) (- 1 x)) (* t 2)) t) (- (* (/ (- -1 x) (- 1 x)) (* l l)) (* l l))) (fma.f64 (.f64 t t) #s(literal 2 binary64) #s(approx (neg (/ (- (+ ( (- (neg (* t t)) (* t t)) 2) (neg (* l l))) (* l l)) x)) (.f64 (/.f64 (.f64 l l) x) #s(literal 2 binary64))))))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) t) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 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 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) t))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) t))) t)
(.f64 (/.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 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) t)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

soundness1.5s (11.1%)

Memory

19.5MiB live, 1 135.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1906	63623
1	6764	61894
0	8141	56407
0	18	85
0	31	85
1	116	85
2	928	84
0	8797	80
0	57	458
0	95	444
1	370	415
2	3220	412
0	8941	412
0	1724	53914
1	6103	46358
0	8821	42389
0	1666	44183
1	5947	43202
0	8083	41329
0	65	602
0	102	602
1	421	551
2	3500	548
0	10046	512
0	676	10349
1	2332	9162
0	8700	8351
0	87	939
0	132	914
1	571	828
2	4706	828
0	8785	789

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

Compiler

Compiled 557 to 383 computations (31.2% saved)

preprocess196.0ms (1.5%)

Memory: 22.5MiB live, 214.5MiB allocated
Remove: (abs l)
Compiler: Compiled 1 434 to 804 computations (43.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze303.0ms (2.3%)

sample3.5s (26.3%)

explain372.0ms (2.8%)

preprocess295.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify278.0ms (2.1%)

localize55.0ms (0.4%)

series61.0ms (0.5%)

simplify412.0ms (3.1%)

rewrite296.0ms (2.2%)

eval197.0ms (1.5%)

prune113.0ms (0.9%)

simplify230.0ms (1.7%)

localize251.0ms (1.9%)

series136.0ms (1%)

simplify571.0ms (4.3%)

rewrite618.0ms (4.6%)

eval287.0ms (2.2%)

prune55.0ms (0.4%)

simplify147.0ms (1.1%)

localize254.0ms (1.9%)

series153.0ms (1.2%)

simplify343.0ms (2.6%)

rewrite223.0ms (1.7%)

eval199.0ms (1.5%)

prune51.0ms (0.4%)

simplify144.0ms (1.1%)

localize270.0ms (2%)

series154.0ms (1.2%)

simplify384.0ms (2.9%)

rewrite250.0ms (1.9%)

eval280.0ms (2.1%)

prune94.0ms (0.7%)

regimes140.0ms (1.1%)

regimes21.0ms (0.2%)

regimes10.0ms (0.1%)

regimes34.0ms (0.3%)

regimes40.0ms (0.3%)

regimes30.0ms (0.2%)

regimes181.0ms (1.4%)

regimes43.0ms (0.3%)

bsearch86.0ms (0.6%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

simplify74.0ms (0.6%)

soundness1.5s (11.1%)

preprocess196.0ms (1.5%)

end0.0ms (0%)

Profiling