Metrics for Toniolo and Linder, Equation (7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze419.0ms (2.9%)

Memory

-26.9MiB live, 412.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 29 to 20 computations (31% saved)

sample3.0s (20.5%)

Memory

25.5MiB live, 4 108.5MiB allocated

Samples

919.0ms	2 676×	1	valid
642.0ms	5 372×	0	valid
343.0ms	2 802×	0	invalid
327.0ms	1 659×	1	invalid
84.0ms	208×	2	valid
53.0ms	92×	2	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-sub: 480.0ms (24.7% of total)

ival-mult: 472.0ms (24.3% of total)

ival-sqrt: 299.0ms (15.4% of total)

adjust: 235.0ms (12.1% of total)

ival-div: 218.0ms (11.2% of total)

ival-add: 214.0ms (11% of total)

exact: 13.0ms (0.7% of total)

ival-true: 10.0ms (0.5% of total)

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

Bogosity

explain292.0ms (2%)

Memory

9.3MiB live, 467.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
118	-	3	(4.8265157858031356e+263 -1.2320376835578086e-26 -1.4151369024135828e-255)	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`
87	-	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	82	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	82
↳	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`	overflow	100
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	68
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	100
↳	`(*.f64 t t)`	overflow	68
↳	`(*.f64 l l)`	overflow	88
`-.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	44	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	100
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	68
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	100
↳	`(*.f64 t t)`	overflow	68
↳	`(*.f64 l l)`	overflow	44
↳	`(*.f64 l l)`	overflow	44
`-.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	43	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	33	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	33
↳	`(.f64 (/.f64 (+.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	20
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	57
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	20
↳	`(*.f64 t t)`	underflow	57
↳	`(*.f64 l l)`	underflow	164

Confusion

	Predicted +	Predicted -
+	175	0
-	1	80

Precision

0.9943181818181818

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	175	0	0
-	1	0	80

Precision?

0.9943181818181818

Recall?

1.0

Freqs

test

number	freq
0	80
1	150
2	26

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms	180×	1	valid
40.0ms	310×	0	valid
7.0ms	22×	2	valid

Compiler

Compiled 296 to 58 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 21.0ms (32.4% of total)

ival-add: 12.0ms (18.5% of total)

ival-sqrt: 10.0ms (15.4% of total)

ival-div: 8.0ms (12.3% of total)

ival-sub: 6.0ms (9.3% of total)

adjust: 6.0ms (9.3% of total)

exact: 1.0ms (1.5% of total)

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

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

preprocess421.0ms (2.9%)

Memory

-22.8MiB live, 469.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs l)

(negabs t)

Compiler

Compiled 30 to 18 computations (40% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Status

Accuracy

Program

▶

33.1%

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

Compiler

Compiled 30 to 18 computations (40% saved)

simplify525.0ms (3.6%)

Memory

12.7MiB live, 451.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (0.5%)

Memory

6.1MiB live, 52.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
accuracy	0.4609375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	18.950613105061013	(-.f64 (.f64 (/.f64 (+.f64 x #s(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	27.15663968768829	(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

36.0ms	155×	0	valid
18.0ms	90×	1	valid
3.0ms	11×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 26.0ms (58.1% of total)

ival-div: 4.0ms (8.9% of total)

ival-sqrt: 4.0ms (8.9% of total)

ival-sub: 3.0ms (6.7% of total)

adjust: 3.0ms (6.7% of total)

ival-add: 3.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

series73.0ms (0.5%)

Memory

-15.9MiB live, 39.1MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

36 calls:

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

simplify442.0ms (3%)

Memory

-5.1MiB live, 183.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

rewrite406.0ms (2.8%)

Memory

17.4MiB live, 148.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 417

Calls

Call 1

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

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

eval154.0ms (1.1%)

Memory: -21.8MiB live, 80.8MiB allocated
Compiler: Compiled 33 915 to 2 340 computations (93.1% saved)

prune279.0ms (1.9%)

Memory

-21.7MiB live, 194.0MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	540	21	561
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	541	21	562

Accuracy

86.5%

Counts

562 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
	30.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 l l)))))
	12.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l)))))
	24.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
	33.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))))
	28.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
▶	24.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))
	3.7%	(/.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 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
	50.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))))
	40.2%	(/.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 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))
	39.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 #s(literal 2 binary64) (.f64 t t)))))
	51.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
▶	73.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
	72.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	3.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 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)))))))
	33.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
	3.8%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
	72.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
▶	4.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))))))
	3.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))))
▶	71.1%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 1 106 to 680 computations (38.5% saved)

simplify352.0ms (2.4%)

Memory

38.1MiB live, 532.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
cost-diff	704	(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 l l)))
cost-diff	0	(sqrt.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (.f64 l l)))
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 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))
cost-diff	0	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))
cost-diff	640	(-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))

Rules

16 722×	`lower-fma.f32`
16 714×	`lower-fma.f64`
3 714×	`lower-*.f32`
3 694×	`lower-*.f64`
2 076×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	583
0	96	564
1	184	564
2	375	554
3	1011	544
4	3459	536
0	8039	531

Stop Event

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

Calls

Call 1

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

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

localize228.0ms (1.6%)

Memory

-3.9MiB live, 424.3MiB allocated

Localize:

Found 20 expressions of interest:

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

Samples

138.0ms

256×

invalid

Compiler

Compiled 553 to 54 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 26.0ms (36.9% of total)

ival-add: 14.0ms (19.9% of total)

ival-div: 12.0ms (17% of total)

ival-sqrt: 11.0ms (15.6% of total)

ival-sub: 5.0ms (7.1% of total)

ival-neg: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

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

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

series109.0ms (0.8%)

Memory

40.8MiB live, 179.4MiB allocated

Counts

23 → 504

Calls

Call 1

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

Outputs
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Calls

126 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))))
10.0ms	t	@	0	(/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))))
3.0ms	l	@	0	(/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))))
3.0ms	t	@	inf	(/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))))
3.0ms	x	@	0	(/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))))

simplify546.0ms (3.8%)

Memory

45.3MiB live, 1 000.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 356×	`lower-fma.f64`
7 356×	`lower-fma.f32`
7 084×	`lower-*.f64`
7 084×	`lower-*.f32`
5 242×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1538	42297
1	5281	36853
0	9207	35369

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

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

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

rewrite317.0ms (2.2%)

Memory

-6.0MiB live, 419.4MiB allocated

Rules

5 516×	`lower-*.f32`
5 498×	`lower-*.f64`
4 094×	`lower-/.f32`
4 082×	`lower-/.f64`
3 610×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	390
0	96	366
1	389	356
2	3208	350
0	9402	350

Stop Event

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

Counts

23 → 376

Calls

Call 1

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

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

eval445.0ms (3.1%)

Memory: -78.1MiB live, 480.2MiB allocated
Compiler: Compiled 71 753 to 2 862 computations (96% saved)

prune145.0ms (1%)

Memory

-23.7MiB live, 317.7MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1 056	17	1 073
Fresh	14	2	16
Picked	4	1	5
Done	0	0	0
Total	1 074	20	1 094

Accuracy

88.1%

Counts

1 094 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.2%	(/.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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
	3.7%	(/.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 l (.f64 l (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
	39.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 #s(literal 2 binary64) (.f64 t t)))))
	50.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))) (.f64 #s(literal 2 binary64) (fma.f64 t t (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))))))
	11.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (/ ( (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)) (* l l))) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
▶	3.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (/ ( (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)) (* l l))) (sqrt.f64 (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
	72.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (/ (+ 1 x) (+ x -1))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
▶	2.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))))))
	73.4%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
▶	73.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
	73.2%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
	73.1%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))))
	30.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
	3.8%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)) (* l l)))) (/.f64 (fma.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))) (neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (.f64 t (.f64 t t))) (.f64 (.f64 l l) (+.f64 x #s(literal -1 binary64))))))) l))
	10.8%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)) (* l l)))) (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
	72.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
	4.0%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))
✓	71.1%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
▶	72.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
▶	18.1%	#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))

Compiler

Compiled 965 to 590 computations (38.9% saved)

simplify291.0ms (2%)

Memory

45.9MiB live, 474.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

21 398×	`lower-fma.f32`
21 396×	`lower-fma.f64`
4 470×	`lower-*.f32`
4 450×	`lower-*.f64`
2 624×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	622
0	100	609
1	217	607
2	451	572
3	1219	572
4	4083	572
0	8087	553

Stop Event

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

Calls

Call 1

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

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

localize377.0ms (2.6%)

Memory

-3.0MiB live, 606.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.26171875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	18.429896579862724	(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	20.58408111845219	#s(approx (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))))
accuracy	35.103357770807605	(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
accuracy	4.309588735973334	(.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
accuracy	15.994481863883653	(sqrt.f64 (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
accuracy	20.58408111845219	#s(approx (sqrt (- (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)) (* l l))) (sqrt.f64 (.f64 (.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
accuracy	35.103357770807605	(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
accuracy	0.11328125	(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
accuracy	0.6015625	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	16.760376290343235	#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
accuracy	17.659683327914564	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	17.10702730620677	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
accuracy	0.203125	(/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
accuracy	0.2578125	(.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
accuracy	0.26171875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	16.776314636035956	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))

Samples

70.0ms	95×	1	valid
63.0ms	69×	1	invalid
61.0ms	53×	2	valid
33.0ms	26×	2	invalid
3.0ms	7×	0	invalid
2.0ms	6×	0	valid

Compiler

Compiled 512 to 59 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-mult: 53.0ms (29.5% of total)

ival-div: 37.0ms (20.6% of total)

ival-add: 29.0ms (16.1% of total)

ival-sqrt: 27.0ms (15% of total)

adjust: 25.0ms (13.9% of total)

ival-sub: 7.0ms (3.9% of total)

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

exact: 1.0ms (0.6% of total)

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

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

series76.0ms (0.5%)

Memory

2.3MiB live, 152.9MiB allocated

Counts

22 → 492

Calls

Call 1

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

Outputs
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Calls

123 calls:

Time	Variable		Point	Expression
4.0ms	l	@	0	(/ 1 (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
2.0ms	x	@	-inf	(sqrt (* (* l l) (+ (/ (+ 1 x) (+ x -1)) -1)))
1.0ms	x	@	0	(/ 1 (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
1.0ms	l	@	0	(* (* l l) (+ (/ (+ 1 x) (+ x -1)) -1))
1.0ms	t	@	0	(* t (sqrt (* 2 (/ (+ x 1) (+ x -1)))))

simplify561.0ms (3.9%)

Memory

-9.0MiB live, 793.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 682×	`lower-fma.f64`
8 682×	`lower-fma.f32`
6 762×	`lower-*.f64`
6 762×	`lower-*.f32`
5 496×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1644	44840
1	5689	40781
0	8653	38773

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 491

Calls

Call 1

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

rewrite283.0ms (1.9%)

Memory

0.3MiB live, 377.9MiB allocated

Rules

4 288×	`lower-/.f32`
4 278×	`lower-/.f64`
3 168×	`lower-*.f32`
3 150×	`lower-*.f64`
3 120×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	491
0	100	447
1	432	430
2	3576	423
0	8564	409

Stop Event

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

Counts

22 → 411

Calls

Call 1

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

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

eval291.0ms (2%)

Memory: 45.0MiB live, 222.7MiB allocated
Compiler: Compiled 67 257 to 3 189 computations (95.3% saved)

prune216.0ms (1.5%)

Memory

-25.5MiB live, 293.4MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	941	18	959
Fresh	8	6	14
Picked	4	1	5
Done	0	1	1
Total	953	26	979

Accuracy

98.6%

Counts

979 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 #s(literal 2 binary64) (.f64 t t)))))
	50.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))) (.f64 #s(literal 2 binary64) (fma.f64 t t (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))))))
	3.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (/ ( (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)) (* l l))) (*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) l)))
	15.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (/ ( (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)) (* l l))) (sqrt.f64 (.f64 (.f64 l l) #s(approx (+ (/ (+ 1 x) (+ x -1)) -1) (/.f64 #s(literal 2 binary64) x))))))
	27.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (/ ( (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)) (* l l))) #s(approx (sqrt (* (* l l) (+ (/ (+ 1 x) (+ x -1)) -1))) (.f64 l (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
	5.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 (+.f64 (.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))))
▶	3.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 (+.f64 #s(approx (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))))))
	27.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 #s(approx (+ (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) -1) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))))
	27.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 #s(approx (+ (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) -1) (/.f64 #s(literal 2 binary64) x))))))
▶	73.5%	(/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (*.f64 t (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))
	73.0%	(.f64 (pow.f64 (pow.f64 #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 t (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
▶	72.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
	73.1%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))))
	3.9%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))))
▶	30.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
	3.9%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
	72.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
▶	18.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
	4.0%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))
✓	71.1%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
✓	72.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
	18.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
	17.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
	18.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
	17.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
	1.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))))) #s(approx (* (/ (* (sqrt 2) (sqrt 1/2)) (+ 1 x)) (sqrt (+ (* x x) -1))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 962 to 630 computations (34.5% saved)

simplify240.0ms (1.7%)

Memory

-6.3MiB live, 228.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

11 474×	`lower-fma.f32`
11 466×	`lower-fma.f64`
3 402×	`lower-*.f32`
3 384×	`lower-*.f64`
2 182×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	696
0	112	688
1	204	680
2	395	630
3	1088	630
4	3681	630
5	7256	630
0	8071	627

Stop Event

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

Calls

Call 1

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

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

localize407.0ms (2.8%)

Memory

-1.8MiB live, 467.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5139125986905176	(/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))
accuracy	7.511387147680465	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64)))
accuracy	14.852099936308042	(sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))))
accuracy	18.298374394555438	(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))
accuracy	0.26171875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	0.5668698189179469	#s(approx (/ (* (+ 1 x) (+ 1 x)) (+ (* x x) -1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
accuracy	20.58408111845219	#s(approx (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 (+.f64 #s(approx (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))))
accuracy	35.103357770807605	(+.f64 #s(approx (/ (* (+ 1 x) (+ 1 x)) (+ (* x x) -1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
accuracy	0.2578125	(.f64 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) #s(literal 2 binary64))))
accuracy	0.26171875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	0.9078454842085899	#s(approx (* 2 (/ (+ x 1) (+ x -1))) #s(literal 2 binary64))
accuracy	16.776314636035956	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) #s(literal 2 binary64)))))
accuracy	0	(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	16.760376290343235	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
accuracy	17.659683327914564	(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.09375	(/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (*.f64 t (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))
accuracy	0.2578125	(*.f64 t (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))
accuracy	0.26171875	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy	16.776314636035956	#s(approx (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (*.f64 t (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))

Samples

126.0ms	95×	1	valid
58.0ms	69×	1	invalid
55.0ms	53×	2	valid
25.0ms	26×	2	invalid
3.0ms	7×	0	invalid
2.0ms	6×	0	valid

Compiler

Compiled 570 to 61 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-add: 60.0ms (27.3% of total)

ival-div: 58.0ms (26.4% of total)

ival-mult: 46.0ms (20.9% of total)

adjust: 26.0ms (11.8% of total)

ival-sqrt: 24.0ms (10.9% of total)

ival-sub: 4.0ms (1.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series99.0ms (0.7%)

Memory

23.1MiB live, 162.6MiB allocated

Counts

25 → 624

Calls

Call 1

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

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

Calls

156 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(/ 2 (+ (* (+ x 1) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (neg (* l l))))
1.0ms	x	@	0	(sqrt (/ 2 (+ (* (+ x 1) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (neg (* l l)))))
1.0ms	x	@	0	(/ 2 (+ (* (+ x 1) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (neg (* l l))))
1.0ms	x	@	inf	(sqrt (/ 2 (+ (* (+ x 1) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (neg (* l l)))))
1.0ms	l	@	0	(sqrt (/ 2 (+ (* (+ x 1) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (neg (* l l)))))

simplify654.0ms (4.5%)

Memory

15.2MiB live, 812.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 440×	`lower-*.f64`
7 440×	`lower-*.f32`
5 064×	`lower-fma.f64`
5 064×	`lower-fma.f32`
3 298×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1977	54779
1	6864	53631
0	8313	50520

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 621

Calls

Call 1

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

rewrite289.0ms (2%)

Memory

39.1MiB live, 452.1MiB allocated

Rules

5 896×	`lower-*.f32`
5 878×	`lower-*.f64`
4 674×	`lower-/.f32`
4 658×	`lower-/.f64`
2 750×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	554
0	112	531
1	447	498
2	3694	498
0	10477	498

Stop Event

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

Counts

25 → 487

Calls

Call 1

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

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

eval223.0ms (1.5%)

Memory: -37.5MiB live, 220.4MiB allocated
Compiler: Compiled 86 400 to 3 851 computations (95.5% saved)

prune279.0ms (1.9%)

Memory

-2.8MiB live, 424.9MiB allocated

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	1 128	12	1 140
Fresh	6	13	19
Picked	1	4	5
Done	0	2	2
Total	1 135	31	1 166

Accuracy

98.6%

Counts

1 166 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 #s(literal 2 binary64) (.f64 t t)))))
	50.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))) (.f64 #s(literal 2 binary64) (fma.f64 t t (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))))))
	3.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (/ ( (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)) (* l l))) (*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) l)))
	15.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (/ ( (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)) (* l l))) (sqrt.f64 (.f64 (.f64 l l) #s(approx (+ (/ (+ 1 x) (+ x -1)) -1) (/.f64 #s(literal 2 binary64) x))))))
	27.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (/ ( (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)) (* l l))) #s(approx (sqrt (* (* l l) (+ (/ (+ 1 x) (+ x -1)) -1))) (.f64 l (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
	5.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 (+.f64 (.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))))
✓	3.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 (+.f64 #s(approx (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))))))
	27.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 #s(approx (+ (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) -1) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))))
	27.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 #s(approx (+ (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) -1) (/.f64 #s(literal 2 binary64) x))))))
	71.8%	(.f64 (/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) #s(literal 2 binary64)))))) t)
✓	72.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
	71.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 t (sqrt.f64 #s(approx ( 2 (/ (+ x 1) (+ x -1))) #s(literal 2 binary64)))))) t) (sqrt.f64 #s(literal 2 binary64)))
	3.9%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (*.f64 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))))
✓	30.5%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
	50.4%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (+ x 1) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (neg (* l l))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (.f64 l l) x))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))))))
	29.0%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ x 1) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (neg (* l l)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 t t))))))
	38.9%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ x 1) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (neg (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
	3.9%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
	72.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
	33.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x)))
✓	18.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
	12.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
	73.0%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (sqrt (+ (* x x) -1)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) x)))
	17.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
	18.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
	4.0%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l))))))
✓	71.1%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
	72.8%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (/ (sqrt (+ (* x x) -1)) (+ 1 x)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))))
	72.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (/ (sqrt (+ (* x x) -1)) (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	72.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
	17.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))

Compiler

Compiled 1 966 to 657 computations (66.6% saved)

regimes130.0ms (0.9%)

Memory

-42.8MiB live, 179.6MiB allocated

Counts

69 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

38.0ms	l
21.0ms	x
18.0ms	(*.f64 l l)
18.0ms	t
16.0ms	(/.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
73.6%	1	`x`
81.7%	2	`l`
84.1%	4	`t`
81.4%	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))))`
73.6%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
81.7%	2	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes47.0ms (0.3%)

Memory

0.0MiB live, 44.1MiB allocated

Counts

46 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

33.0ms	l
11.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
81.7%	2	`l`
81.7%	2	`(*.f64 l l)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes27.0ms (0.2%)

Memory

21.1MiB live, 63.3MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

11.0ms

7.0ms

(*.f64 l l)

7.0ms

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

Results

Accuracy	Segments	Branch
80.8%	2	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
81.2%	2	`l`
81.2%	2	`(*.f64 l l)`

Compiler

Compiled 40 to 25 computations (37.5% saved)

regimes42.0ms (0.3%)

Memory

-20.4MiB live, 81.0MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

10.0ms	l
8.0ms	x
6.0ms	t
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
73.0%	1	`x`
73.0%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
73.0%	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))))`
73.0%	1	`t`
75.1%	2	`l`
73.0%	1	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes15.0ms (0.1%)

Memory

35.7MiB live, 35.7MiB 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)))) #s(approx (/ (sqrt (+ (* x x) -1)) (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ x 1) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (neg (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (/ (sqrt (+ (* x x) -1)) (+ 1 x)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (sqrt (+ (* x x) -1)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (+ x 1) (/ (+ (* 2 (* t t)) (* l l)) (+ x -1))) (neg (* l l)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 t t))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.0%	1	`t`
73.0%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
73.0%	1	`l`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.1%)

Memory

-3.0MiB live, 42.6MiB allocated

Counts

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

Outputs

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

Calls

6 calls:

6.0ms	t
3.0ms	l
3.0ms	x
3.0ms	(*.f64 l l)
3.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Results

Accuracy	Segments	Branch
72.8%	1	`l`
72.8%	1	`(*.f64 l l)`
72.8%	1	`x`
72.8%	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))))`
72.8%	1	`t`
72.8%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes41.0ms (0.3%)

Memory

-22.9MiB live, 21.6MiB allocated

Counts

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

Outputs

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

Calls

6 calls:

30.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
2.0ms	l
2.0ms	t
2.0ms	x
2.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
72.6%	1	`l`
72.6%	1	`(*.f64 l l)`
72.6%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
72.6%	1	`x`
72.6%	1	`t`
72.6%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes7.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 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))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
72.2%	1	`l`
72.2%	1	`(*.f64 l l)`
72.2%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
72.2%	1	`x`
72.2%	1	`t`
72.2%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 58 to 38 computations (34.5% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.946706123442038e+275	1.712603956365791e+292

Compiler

Compiled 31 to 24 computations (22.6% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.946706123442038e+275	1.712603956365791e+292

Compiler

Compiled 31 to 24 computations (22.6% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.946706123442038e+275	1.712603956365791e+292

Compiler

Compiled 31 to 24 computations (22.6% saved)

bsearch54.0ms (0.4%)

Memory

-8.0MiB live, 45.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	2.2004570644564146e+254	1.4510223611132445e+257

Samples

23.0ms	35×	1	invalid
18.0ms	106×	1	valid
2.0ms	22×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 321 to 216 computations (32.7% saved)

Precisions

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

ival-mult: 22.0ms (58.2% of total)

adjust: 4.0ms (10.6% of total)

ival-div: 3.0ms (7.9% of total)

ival-add: 3.0ms (7.9% of total)

ival-sub: 3.0ms (7.9% of total)

ival-sqrt: 3.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
22×	`+-commutative_binary64`
18×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	603
1	113	603
2	128	603
3	142	603
4	154	603
5	157	603

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 l l) #s(literal 1000000000000000052069140800249855752009185079750964144650090664977064943362508663270311404514719386165843308728919567930102413767433897865855658269158968045714503601765690788895124181432711335776992950015243623307738608946937362752018518070418086469181314516804918593340833792 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 #s(approx (+ (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) -1) (/.f64 #s(literal 2 binary64) x)))))))
(if (<=.f64 (.f64 l l) #s(literal 1000000000000000052069140800249855752009185079750964144650090664977064943362508663270311404514719386165843308728919567930102413767433897865855658269158968045714503601765690788895124181432711335776992950015243623307738608946937362752018518070418086469181314516804918593340833792 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 t (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 #s(approx (+ (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) -1) (/.f64 #s(literal 2 binary64) x)))))))
(if (<=.f64 (.f64 l l) #s(literal 1000000000000000052069140800249855752009185079750964144650090664977064943362508663270311404514719386165843308728919567930102413767433897865855658269158968045714503601765690788895124181432711335776992950015243623307738608946937362752018518070418086469181314516804918593340833792 binary64)) #s(approx (/ ( (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (sqrt (+ (* x x) -1)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 #s(approx (+ (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) -1) (/.f64 #s(literal 2 binary64) x)))))))
(if (<=.f64 l #s(literal 74999999999999998925567276070613550676860595122473236090028937334791479805194561579564807811369896506902187790510813339882564763534858077907236635589985359715411958047666580454374188167209937470142476521114315472678552075078097408527846574743092334514143232 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (sqrt (+ (* x x) -1)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (sqrt (+ (* x x) -1)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (/ (sqrt (+ (* x x) -1)) (+ 1 x)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (/ (sqrt (+ (* x x) -1)) (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Outputs
(if (<=.f64 (.f64 l l) #s(literal 1000000000000000052069140800249855752009185079750964144650090664977064943362508663270311404514719386165843308728919567930102413767433897865855658269158968045714503601765690788895124181432711335776992950015243623307738608946937362752018518070418086469181314516804918593340833792 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 #s(approx (+ (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) -1) (/.f64 #s(literal 2 binary64) x)))))))
(if (<=.f64 (.f64 l l) #s(literal 1000000000000000052069140800249855752009185079750964144650090664977064943362508663270311404514719386165843308728919567930102413767433897865855658269158968045714503601765690788895124181432711335776992950015243623307738608946937362752018518070418086469181314516804918593340833792 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 #s(approx (+ (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) -1) (/.f64 #s(literal 2 binary64) x)))))))
(if (<=.f64 (.f64 l l) #s(literal 1000000000000000052069140800249855752009185079750964144650090664977064943362508663270311404514719386165843308728919567930102413767433897865855658269158968045714503601765690788895124181432711335776992950015243623307738608946937362752018518070418086469181314516804918593340833792 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 t (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 #s(approx (+ (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) -1) (/.f64 #s(literal 2 binary64) x)))))))
(if (<=.f64 (.f64 l l) #s(literal 1000000000000000052069140800249855752009185079750964144650090664977064943362508663270311404514719386165843308728919567930102413767433897865855658269158968045714503601765690788895124181432711335776992950015243623307738608946937362752018518070418086469181314516804918593340833792 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 t (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 #s(approx (+ (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) -1) (/.f64 #s(literal 2 binary64) x)))))))
(if (<=.f64 (.f64 l l) #s(literal 1000000000000000052069140800249855752009185079750964144650090664977064943362508663270311404514719386165843308728919567930102413767433897865855658269158968045714503601765690788895124181432711335776992950015243623307738608946937362752018518070418086469181314516804918593340833792 binary64)) #s(approx (/ ( (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (sqrt (+ (* x x) -1)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 #s(approx (+ (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) -1) (/.f64 #s(literal 2 binary64) x)))))))
(if (<=.f64 (.f64 l l) #s(literal 1000000000000000052069140800249855752009185079750964144650090664977064943362508663270311404514719386165843308728919567930102413767433897865855658269158968045714503601765690788895124181432711335776992950015243623307738608946937362752018518070418086469181314516804918593340833792 binary64)) #s(approx (/ ( (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (sqrt (+ (* x x) -1)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (+.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ (* x x) -1)) (* (+ x 1) (+ x 1))) (neg (* l l)))) (.f64 l (sqrt.f64 #s(approx (+ (/ ( (+ 1 x) (+ 1 x)) (+ (* x x) -1)) -1) (/.f64 #s(literal 2 binary64) x)))))))
(if (<=.f64 l #s(literal 74999999999999998925567276070613550676860595122473236090028937334791479805194561579564807811369896506902187790510813339882564763534858077907236635589985359715411958047666580454374188167209937470142476521114315472678552075078097408527846574743092334514143232 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (sqrt (+ (* x x) -1)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))))))
(if (<=.f64 l #s(literal 74999999999999998925567276070613550676860595122473236090028937334791479805194561579564807811369896506902187790510813339882564763534858077907236635589985359715411958047666580454374188167209937470142476521114315472678552075078097408527846574743092334514143232 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (sqrt (+ (* x x) -1)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (sqrt (+ (* x x) -1)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (sqrt (+ (* x x) -1)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (/ (sqrt (+ (* x x) -1)) (+ 1 x)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (/ (sqrt (+ (* x x) -1)) (+ 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (/ (sqrt (+ (* x x) -1)) (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (/ (sqrt (+ (* x x) -1)) (+ 1 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

soundness1.4s (9.9%)

Memory

2.2MiB live, 1 409.3MiB 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	58	390
0	96	366
1	389	356
2	3208	350
0	9402	350
0	69	491
0	100	447
1	432	430
2	3576	423
0	8564	409
0	1977	54779
1	6864	53631
0	8313	50520
0	1644	44840
1	5689	40781
0	8653	38773
0	676	10349
1	2332	9162
0	8701	8754
0	1538	42297
1	5281	36853
0	9207	35369
0	18	85
0	31	85
1	116	85
2	928	84
0	8797	80

Stop Event

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

Compiler

Compiled 456 to 260 computations (43% saved)

preprocess200.0ms (1.4%)

Memory: 36.6MiB live, 269.1MiB allocated
Compiler: Compiled 1 076 to 480 computations (55.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze419.0ms (2.9%)

sample3.0s (20.5%)

explain292.0ms (2%)

preprocess421.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify525.0ms (3.6%)

localize76.0ms (0.5%)

series73.0ms (0.5%)

simplify442.0ms (3%)

rewrite406.0ms (2.8%)

eval154.0ms (1.1%)

prune279.0ms (1.9%)

simplify352.0ms (2.4%)

localize228.0ms (1.6%)

series109.0ms (0.8%)

simplify546.0ms (3.8%)

rewrite317.0ms (2.2%)

eval445.0ms (3.1%)

prune145.0ms (1%)

simplify291.0ms (2%)

localize377.0ms (2.6%)

series76.0ms (0.5%)

simplify561.0ms (3.9%)

rewrite283.0ms (1.9%)

eval291.0ms (2%)

prune216.0ms (1.5%)

simplify240.0ms (1.7%)

localize407.0ms (2.8%)

series99.0ms (0.7%)

simplify654.0ms (4.5%)

rewrite289.0ms (2%)

eval223.0ms (1.5%)

prune279.0ms (1.9%)

regimes130.0ms (0.9%)

regimes47.0ms (0.3%)

regimes27.0ms (0.2%)

regimes42.0ms (0.3%)

regimes15.0ms (0.1%)

regimes20.0ms (0.1%)

regimes41.0ms (0.3%)

regimes7.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch54.0ms (0.4%)

simplify11.0ms (0.1%)

soundness1.4s (9.9%)

preprocess200.0ms (1.4%)

end0.0ms (0%)

Profiling