Metrics for Toniolo and Linder, Equation (7)

analyze390.0ms (2.6%)

Memory

-2.5MiB live, 475.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 29 to 20 computations (31% saved)

sample3.5s (23.2%)

Memory

-2.5MiB live, 4 103.6MiB allocated

Samples

708.0ms	5 331×	0	valid
660.0ms	2 753×	1	valid
443.0ms	1 652×	1	invalid
415.0ms	2 883×	0	invalid
47.0ms	92×	2	invalid
45.0ms	154×	2	valid
7.0ms	18×	4	valid

Precisions

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

ival-mult: 666.0ms (36.3% of total)

ival-div: 259.0ms (14.1% of total)

ival-add: 228.0ms (12.4% of total)

ival-sqrt: 224.0ms (12.2% of total)

adjust: 223.0ms (12.2% of total)

ival-sub: 204.0ms (11.1% of total)

exact: 16.0ms (0.9% of total)

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

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

Bogosity

preprocess740.0ms (4.9%)

Memory

-12.8MiB live, 788.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

(/.f64 (*.f64 (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)

explain276.0ms (1.8%)

Memory

26.9MiB live, 492.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
104	-	0	-	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`
100	-	1	(-1.7816531470366182e+247 4.250661431901296e-163 7.110398025772999e-160)	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`
0	-	0	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
0	-	0	-	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`t`
0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 t t))`
0	-	0	-	`(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)`
0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	-	0	-	`(*.f64 l l)`
0	-	0	-	`(sqrt.f64 #s(literal 2 binary64))`
0	-	0	-	`(/.f64 (.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	76	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	76
↳	`(.f64 (/.f64 (+.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	102
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	60
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	102
↳	`(*.f64 t t)`	overflow	60
↳	`(*.f64 l l)`	overflow	110
`-.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	55	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	102
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	60
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	102
↳	`(*.f64 t t)`	overflow	60
↳	`(*.f64 l l)`	overflow	55
↳	`(*.f64 l l)`	overflow	55
`-.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	49	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	23	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	23
↳	`(.f64 (/.f64 (+.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	18
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	48
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	18
↳	`(*.f64 t t)`	underflow	48
↳	`(*.f64 l l)`	underflow	144

Confusion

	Predicted +	Predicted -
+	174	1
-	0	81

Precision

1.0

Recall

0.9942857142857143

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	174	0	1
-	0	0	81

Precision?

1.0

Recall?

0.9942857142857143

Freqs

test

number	freq
0	82
1	145
2	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms	184×	1	valid
37.0ms	314×	0	valid
4.0ms	14×	2	valid

Compiler

Compiled 326 to 76 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 19.0ms (30.4% of total)

adjust: 11.0ms (17.6% of total)

ival-div: 8.0ms (12.8% of total)

ival-sqrt: 8.0ms (12.8% of total)

ival-sub: 7.0ms (11.2% of total)

ival-add: 7.0ms (11.2% of total)

exact: 1.0ms (1.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Status

Accuracy

Program

▶

34.7%

(/.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)

simplify445.0ms (2.9%)

Memory

-7.9MiB live, 714.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)

localize106.0ms (0.7%)

Memory

13.0MiB live, 179.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	64.7%	(-.f64 (.f64 (/.f64 (+.f64 x #s(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	63.8%	(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

27.0ms	92×	1	valid
18.0ms	157×	0	valid
2.0ms	7×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 12.0ms (35.5% of total)

ival-div: 8.0ms (23.7% of total)

ival-sqrt: 4.0ms (11.8% of total)

ival-add: 4.0ms (11.8% of total)

ival-sub: 3.0ms (8.9% of total)

adjust: 3.0ms (8.9% of total)

exact: 0.0ms (0% of total)

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

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

series62.0ms (0.4%)

Memory

-5.7MiB live, 111.5MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))>
#<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))))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<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)))>
#<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))>

Outputs
#<alt (* 2 (pow t 2))>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (pow l 2)>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (pow l 2)>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (pow l 2)>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (* 2 (pow t 2))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* 2 (pow t 2))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))>
#<alt (* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))>
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#<alt (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))>
#<alt (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))>
#<alt (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))>
#<alt (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))>
#<alt (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))>
#<alt (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))>
#<alt (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>

Calls

36 calls:

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

simplify438.0ms (2.9%)

Memory

8.9MiB live, 786.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

rewrite503.0ms (3.3%)

Memory

63.1MiB live, 856.7MiB allocated

Algorithm

1×	batch-egg-rewrite

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

eval143.0ms (0.9%)

Memory: -37.3MiB live, 299.8MiB allocated
Compiler: Compiled 33 771 to 2 339 computations (93.1% saved)

prune94.0ms (0.6%)

Memory

-3.4MiB live, 316.6MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	541	20	561
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	542	20	562

Accuracy

88.7%

Counts

562 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.7%	(/.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)))))
	30.2%	(/.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)))))
	8.2%	(/.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)))))
	22.1%	(/.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)))))
	32.7%	(/.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 l (.f64 l (+.f64 x #s(literal 1 binary64)))) (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))))))
	34.8%	(/.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))))))
▶	26.1%	(/.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))))))
	34.5%	(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))))) (*.f64 l l))))
	2.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
	54.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))))
	54.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+.f64 (fma.f64 #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)))))
	42.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))
▶	50.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #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))))))
▶	73.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
	72.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	3.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 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)))))))
	34.6%	(.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))))))
	72.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
▶	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))))))
▶	71.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 1 136 to 678 computations (40.3% saved)

simplify451.0ms (3%)

Memory

33.0MiB live, 833.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	128	(.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)))
✓	cost-diff	512	(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))))
✓	cost-diff	3072	(/.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))))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	576	(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)))))
✓	cost-diff	3072	(/.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))))))
✓	cost-diff	0	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	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	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	(.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	3072	(/.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

19 326×	`lower-fma.f32`
19 318×	`lower-fma.f64`
4 802×	`lower-*.f32`
4 780×	`lower-*.f64`
3 282×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	524
0	92	518
1	179	515
2	377	507
3	1202	499
4	3198	493
5	5014	493
0	8043	488

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

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

localize185.0ms (1.2%)

Memory

-9.0MiB live, 296.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 t t)
✓	accuracy	100.0%	(*.f64 l l)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 l l)
✓	accuracy	100.0%	(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)))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(neg.f64 l)
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (.f64 t t))
✓	accuracy	100.0%	(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	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(neg.f64 l)
✓	accuracy	100.0%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	100.0%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))

Samples

91.0ms

256×

invalid

Compiler

Compiled 545 to 51 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 21.0ms (36.7% of total)

ival-add: 12.0ms (21% of total)

ival-div: 10.0ms (17.5% of total)

ival-sqrt: 10.0ms (17.5% of total)

ival-sub: 3.0ms (5.2% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series168.0ms (1.1%)

Memory

35.4MiB live, 185.5MiB allocated

Counts

21 → 408

Calls

Call 1

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

Outputs
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))>
#<alt (* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))>
#<alt (* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))))>
#<alt (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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)))))))>
#<alt (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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)))))))>
#<alt (+ (* -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))))))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* -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)))>
#<alt (+ (* -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))))>
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#<alt (* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2)))))>
#<alt (/ (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) x)>
#<alt (/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x)>
#<alt (/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x)>
#<alt (/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x)>
#<alt (* t (sqrt 2))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))>
#<alt (+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))>
#<alt (* 2 (pow l 2))>
#<alt (+ (* 2 (pow l 2)) (* 4 (pow t 2)))>
#<alt (+ (* 2 (pow l 2)) (* 4 (pow t 2)))>
#<alt (+ (* 2 (pow l 2)) (* 4 (pow t 2)))>
#<alt (* 4 (pow t 2))>
#<alt (* (pow t 2) (+ 4 (* 2 (/ (pow l 2) (pow t 2)))))>
#<alt (* (pow t 2) (+ 4 (* 2 (/ (pow l 2) (pow t 2)))))>
#<alt (* (pow t 2) (+ 4 (* 2 (/ (pow l 2) (pow t 2)))))>
#<alt (* 4 (pow t 2))>
#<alt (* (pow t 2) (+ 4 (* 2 (/ (pow l 2) (pow t 2)))))>
#<alt (* (pow t 2) (+ 4 (* 2 (/ (pow l 2) (pow t 2)))))>
#<alt (* (pow t 2) (+ 4 (* 2 (/ (pow l 2) (pow t 2)))))>
#<alt (* 4 (pow t 2))>
#<alt (+ (* 2 (pow l 2)) (* 4 (pow t 2)))>
#<alt (+ (* 2 (pow l 2)) (* 4 (pow t 2)))>
#<alt (+ (* 2 (pow l 2)) (* 4 (pow t 2)))>
#<alt (* 2 (pow l 2))>
#<alt (* (pow l 2) (+ 2 (* 4 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 2 (* 4 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 2 (* 4 (/ (pow t 2) (pow l 2)))))>
#<alt (* 2 (pow l 2))>
#<alt (* (pow l 2) (+ 2 (* 4 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 2 (* 4 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 2 (* 4 (/ (pow t 2) (pow l 2)))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* -1 (/ x (sqrt -1))))>
#<alt (+ (sqrt -1) (* x (- (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (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)))))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x)))>
#<alt (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))>
#<alt (pow (sqrt -1) 2)>
#<alt (- (pow (sqrt -1) 2) (/ 1 x))>
#<alt (+ (* -1 (/ (+ 1 (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x))) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -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))>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (/ (sqrt -1/2) t)>
#<alt (+ (* 1/4 (/ (pow l 2) (* (pow t 3) (sqrt -1/2)))) (/ (sqrt -1/2) t))>
#<alt (+ (* (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))>
#<alt (+ (* (pow l 2) (+ (* (pow l 2) (+ (* -1/2 (/ (* t (+ (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/2 (/ 1 (pow t 6))))) (sqrt -1/2))) (* 1/2 (/ (* (pow l 2) (* t (- (* 1/2 (/ 1 (pow t 8))) (* -1/4 (/ (+ (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/2 (/ 1 (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2))))))) (sqrt -1/2))))) (* 1/4 (/ 1 (* (pow t 3) (sqrt -1/2)))))) (/ (sqrt -1/2) t))>
#<alt (/ (sqrt -1/2) l)>
#<alt (/ (+ (sqrt -1/2) (* 1/4 (/ (pow t 2) (* (pow l 2) (sqrt -1/2))))) l)>
#<alt (/ (+ (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)>
#<alt (/ (+ (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)>
#<alt (* -1 (/ (sqrt -1/2) l))>
#<alt (* -1 (/ (+ (sqrt -1/2) (* 1/4 (/ (pow t 2) (* (pow l 2) (sqrt -1/2))))) l))>
#<alt (* -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))>
#<alt (* -1 (/ (+ (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))>
#<alt (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2))))>
#<alt (+ (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))) (* (pow t 2) (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 3)))))>
#<alt (+ (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))))))))>
#<alt (+ (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))) (* (pow t 2) (+ (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 3))) (* (pow t 2) (+ (* 3/2 (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 5)))) (* 5/2 (* (pow t 2) (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 7))))))))))>
#<alt (/ (sqrt -1/2) t)>
#<alt (/ (+ (sqrt -1/2) (* -1/8 (/ (- (* -1 (pow l 2)) (pow l 2)) (* (pow t 2) (sqrt -1/2))))) t)>
#<alt (/ (+ (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)>
#<alt (/ (+ (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)>
#<alt (* -1 (/ (sqrt -1/2) t))>
#<alt (* -1 (/ (+ (sqrt -1/2) (* -1/8 (/ (- (* -1 (pow l 2)) (pow l 2)) (* (pow t 2) (sqrt -1/2))))) t))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (* -2 (pow t 2))>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>

Calls

102 calls:

Time	Variable		Point	Expression
38.0ms	t	@	0	(+ (* 1/2 (/ (* 2 (+ (* 2 (* t t)) (* l l))) (* (* t (sqrt 2)) x))) (* t (sqrt 2)))
26.0ms	t	@	0	(/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))))
23.0ms	t	@	-inf	(sqrt (/ 1 (- (+ (* l (neg l)) (* -2 (* t t))) (* l l))))
16.0ms	x	@	-inf	(/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))))
5.0ms	x	@	0	(/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))))

simplify799.0ms (5.3%)

Memory

-49.2MiB live, 755.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 162×	`lower-*.f64`
8 162×	`lower-*.f32`
6 496×	`lower-fma.f64`
6 496×	`lower-fma.f32`
4 500×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1338	27475
1	4648	26596
0	9413	24851

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))))
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))))
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))))
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
(+ (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l))
(/ (pow l 2) (* t (* x (sqrt 2))))
(/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t)
(/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t)
(/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t)
(* t (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))))
(* t (+ (sqrt 2) (+ (* 2 (/ 1 (* x (sqrt 2)))) (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))))
(* t (+ (sqrt 2) (+ (* 2 (/ 1 (* x (sqrt 2)))) (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))))
(* t (+ (sqrt 2) (+ (* 2 (/ 1 (* x (sqrt 2)))) (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))))
(* -1 (* t (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2)))))))
(* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2)))))))
(* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2)))))))
(* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2)))))))
(+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))
(/ (pow l 2) (* t (* x (sqrt 2))))
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2)))))
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2)))))
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2)))))
(/ (pow l 2) (* t (* x (sqrt 2))))
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2)))))
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2)))))
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2)))))
(/ (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) x)
(/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x)
(/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x)
(/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x)
(* t (sqrt 2))
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))
(* t (sqrt 2))
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))
(* 2 (pow l 2))
(+ (* 2 (pow l 2)) (* 4 (pow t 2)))
(+ (* 2 (pow l 2)) (* 4 (pow t 2)))
(+ (* 2 (pow l 2)) (* 4 (pow t 2)))
(* 4 (pow t 2))
(* (pow t 2) (+ 4 (* 2 (/ (pow l 2) (pow t 2)))))
(* (pow t 2) (+ 4 (* 2 (/ (pow l 2) (pow t 2)))))
(* (pow t 2) (+ 4 (* 2 (/ (pow l 2) (pow t 2)))))
(* 4 (pow t 2))
(* (pow t 2) (+ 4 (* 2 (/ (pow l 2) (pow t 2)))))
(* (pow t 2) (+ 4 (* 2 (/ (pow l 2) (pow t 2)))))
(* (pow t 2) (+ 4 (* 2 (/ (pow l 2) (pow t 2)))))
(* 4 (pow t 2))
(+ (* 2 (pow l 2)) (* 4 (pow t 2)))
(+ (* 2 (pow l 2)) (* 4 (pow t 2)))
(+ (* 2 (pow l 2)) (* 4 (pow t 2)))
(* 2 (pow l 2))
(* (pow l 2) (+ 2 (* 4 (/ (pow t 2) (pow l 2)))))
(* (pow l 2) (+ 2 (* 4 (/ (pow t 2) (pow l 2)))))
(* (pow l 2) (+ 2 (* 4 (/ (pow t 2) (pow l 2)))))
(* 2 (pow l 2))
(* (pow l 2) (+ 2 (* 4 (/ (pow t 2) (pow l 2)))))
(* (pow l 2) (+ 2 (* 4 (/ (pow t 2) (pow l 2)))))
(* (pow l 2) (+ 2 (* 4 (/ (pow t 2) (pow l 2)))))
(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))
(* -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))
(+ (* (pow l 2) (+ (* (pow l 2) (+ (* -1/2 (/ (* t (+ (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/2 (/ 1 (pow t 6))))) (sqrt -1/2))) (* 1/2 (/ (* (pow l 2) (* t (- (* 1/2 (/ 1 (pow t 8))) (* -1/4 (/ (+ (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/2 (/ 1 (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2))))))) (sqrt -1/2))))) (* 1/4 (/ 1 (* (pow t 3) (sqrt -1/2)))))) (/ (sqrt -1/2) t))
(/ (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))
(* -1 (/ (+ (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))
(sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2))))
(+ (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))) (* (pow t 2) (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 3)))))
(+ (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))))))))
(+ (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))) (* (pow t 2) (+ (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 3))) (* (pow t 2) (+ (* 3/2 (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 5)))) (* 5/2 (* (pow t 2) (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 7))))))))))
(/ (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))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(* -2 (pow t 2))
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)

Outputs
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))
(.f64 t (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))))) (.f64 (/.f64 (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))))))
(* 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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(neg.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) l))
(* -1 (/ (+ (sqrt -1/2) (* 1/4 (/ (pow t 2) (* (pow l 2) (sqrt -1/2))))) l))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 t t) (.f64 (*.f64 l l) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (neg.f64 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))
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64)))) (.f64 (pow.f64 l #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 t t)) (.f64 (.f64 l l) (sqrt.f64 #s(literal -1/2 binary64)))))) (neg.f64 l))
(* -1 (/ (+ (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))
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 t t) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64))))) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (.f64 (pow.f64 l #s(literal 6 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64)))) (.f64 (pow.f64 l #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 t t)) (.f64 (*.f64 l l) (sqrt.f64 #s(literal -1/2 binary64))))))) (neg.f64 l))
(sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (*.f64 l l)))))
(+ (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))) (* (pow t 2) (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 3)))))
(fma.f64 (.f64 t t) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (*.f64 l l))))))
(+ (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))))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 #s(literal 3/2 binary64) (.f64 t t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fma.f64 l l (.f64 l l))) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (.f64 l l))))))
(+ (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))) (* (pow t 2) (+ (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 3))) (* (pow t 2) (+ (* 3/2 (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 5)))) (* 5/2 (* (pow t 2) (sqrt (/ 1 (pow (- (* -1 (pow l 2)) (pow l 2)) 7))))))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fma.f64 l l (.f64 l l))) #s(literal 5 binary64)))) (.f64 (.f64 #s(literal 5/2 binary64) (.f64 t t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fma.f64 l l (.f64 l l))) #s(literal 7 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (*.f64 l l))))))
(/ (sqrt -1/2) t)
(/.f64 (sqrt.f64 #s(literal -1/2 binary64)) t)
(/ (+ (sqrt -1/2) (* -1/8 (/ (- (* -1 (pow l 2)) (pow l 2)) (* (pow t 2) (sqrt -1/2))))) t)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (*.f64 t t) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) 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)
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))))) (.f64 (pow.f64 t #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (fma.f64 l l (.f64 l l)))) (.f64 (.f64 t t) (sqrt.f64 #s(literal -1/2 binary64)))))) 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)
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))))) (.f64 (pow.f64 t #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))))) (/.f64 (neg.f64 (fma.f64 l l (.f64 l l))) #s(literal -1/2 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l))))))) (.f64 (pow.f64 t #s(literal 6 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (fma.f64 l l (.f64 l l)))) (.f64 (.f64 t t) (sqrt.f64 #s(literal -1/2 binary64))))))) t)
(* -1 (/ (sqrt -1/2) t))
(neg.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) t))
(* -1 (/ (+ (sqrt -1/2) (* -1/8 (/ (- (* -1 (pow l 2)) (pow l 2)) (* (pow t 2) (sqrt -1/2))))) t))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (*.f64 t t) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (neg.f64 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))
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))))) (.f64 (pow.f64 t #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (fma.f64 l l (.f64 l l)))) (.f64 (.f64 t t) (sqrt.f64 #s(literal -1/2 binary64)))))) (neg.f64 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))
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))))) (.f64 (pow.f64 t #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l)))))) (/.f64 (neg.f64 (fma.f64 l l (.f64 l l))) #s(literal -1/2 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (fma.f64 l l (.f64 l l))))))) (.f64 (pow.f64 t #s(literal 6 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal -1/8 binary64) (neg.f64 (fma.f64 l l (.f64 l l)))) (.f64 (.f64 t t) (sqrt.f64 #s(literal -1/2 binary64))))))) (neg.f64 t))
(* -2 (pow t 2))
(.f64 (.f64 t t) #s(literal -2 binary64))
(* -2 (pow t 2))
(.f64 (.f64 t t) #s(literal -2 binary64))
(* -2 (pow t 2))
(.f64 (.f64 t t) #s(literal -2 binary64))
(* -2 (pow t 2))
(.f64 (.f64 t t) #s(literal -2 binary64))
(* -2 (pow t 2))
(.f64 (.f64 t t) #s(literal -2 binary64))
(* -2 (pow t 2))
(.f64 (.f64 t t) #s(literal -2 binary64))
(* -2 (pow t 2))
(.f64 (.f64 t t) #s(literal -2 binary64))
(* -2 (pow t 2))
(.f64 (.f64 t t) #s(literal -2 binary64))
(* -2 (pow t 2))
(.f64 (.f64 t t) #s(literal -2 binary64))
(* -2 (pow t 2))
(.f64 (.f64 t t) #s(literal -2 binary64))
(* -2 (pow t 2))
(.f64 (.f64 t t) #s(literal -2 binary64))
(* -2 (pow t 2))
(.f64 (.f64 t t) #s(literal -2 binary64))
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)

rewrite461.0ms (3%)

Memory

-4.8MiB live, 346.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 668×	`lower-*.f32`
4 648×	`lower-*.f64`
4 340×	`lower-fma.f32`
4 332×	`lower-fma.f64`
4 154×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	250
0	88	244
1	364	237
2	2838	233
0	8791	232

Stop Event

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

Counts

21 → 344

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

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

eval103.0ms (0.7%)

Memory: 6.2MiB live, 84.9MiB allocated
Compiler: Compiled 34 315 to 957 computations (97.2% saved)

prune85.0ms (0.6%)

Memory

-1.4MiB live, 76.8MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	349	9	358
Fresh	7	8	15
Picked	3	2	5
Done	0	0	0
Total	359	19	378

Accuracy

90.2%

Counts

378 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.4%	(/.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)))))))
	30.2%	(/.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)))))
	2.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
	54.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))))
	54.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+.f64 (fma.f64 #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)))))
▶	50.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x))))))
✓	73.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
▶	73.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
▶	72.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	3.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 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)))))))
▶	10.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
	73.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
	73.4%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
▶	73.4%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))))
	34.6%	(.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))))))
	72.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
	9.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
	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) (neg.f64 (fma.f64 l l (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))))))))
✓	71.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 887 to 565 computations (36.3% saved)

simplify398.0ms (2.6%)

Memory

-18.0MiB live, 503.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

12 778×	`lower-fma.f32`
12 774×	`lower-fma.f64`
3 012×	`lower-*.f32`
2 990×	`lower-*.f64`
1 916×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	558
0	88	544
1	154	542
2	270	542
3	538	542
4	1043	530
5	1985	530
6	4183	530
7	7036	530
0	8209	524

Stop Event

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

Calls

Call 1

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

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

localize239.0ms (1.6%)

Memory

7.3MiB live, 439.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x))))
✓	accuracy	99.6%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	77.1%	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)))
✓	accuracy	99.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
✓	accuracy	99.7%	(*.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)))))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	40.7%	(+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
✓	accuracy	99.7%	(.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))))))))))
✓	accuracy	99.7%	(/.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	99.6%	(.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
✓	accuracy	99.5%	(.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)))))))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	99.5%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	99.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
✓	accuracy	99.6%	(.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)

Samples

99.0ms	152×	1	valid
30.0ms	92×	0	invalid
7.0ms	8×	2	valid
1.0ms	4×	0	valid

Compiler

Compiled 566 to 48 computations (91.5% saved)

Precisions

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

ival-mult: 30.0ms (31.1% of total)

ival-div: 21.0ms (21.8% of total)

ival-add: 15.0ms (15.5% of total)

ival-sqrt: 14.0ms (14.5% of total)

adjust: 10.0ms (10.4% of total)

ival-sub: 4.0ms (4.1% of total)

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

exact: 1.0ms (1% of total)

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

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

series73.0ms (0.5%)

Memory

2.5MiB live, 119.8MiB allocated

Counts

19 → 468

Calls

Call 1

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

Outputs
#<alt -2>
#<alt (- (* -4 x) 2)>
#<alt (- (* x (- (* -4 x) 4)) 2)>
#<alt (- (* x (- (* x (- (* -4 x) 4)) 4)) 2)>
#<alt 2>
#<alt (+ 2 (* 4 (/ 1 x)))>
#<alt (+ 2 (+ (* 4 (/ 1 x)) (/ 4 (pow x 2))))>
#<alt (+ 2 (+ (* 4 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 4 (/ 1 x)))>
#<alt (+ 2 (+ (* 4 (/ 1 x)) (/ 4 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 4) x)))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))>
#<alt (* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))>
#<alt (* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))))>
#<alt (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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)))))))>
#<alt (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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)))))))>
#<alt (+ (* -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))))))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))>
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#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>

Calls

117 calls:

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

simplify564.0ms (3.7%)

Memory

18.5MiB live, 1 029.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 100×	`lower-*.f64`
8 100×	`lower-*.f32`
5 968×	`lower-fma.f64`
5 968×	`lower-fma.f32`
4 330×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1274	45565
1	4462	44259
0	9033	41364

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
-2
(- (* -4 x) 2)
(- (* x (- (* -4 x) 4)) 2)
(- (* x (- (* x (- (* -4 x) 4)) 4)) 2)
2
(+ 2 (* 4 (/ 1 x)))
(+ 2 (+ (* 4 (/ 1 x)) (/ 4 (pow x 2))))
(+ 2 (+ (* 4 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))
2
(+ 2 (* 4 (/ 1 x)))
(+ 2 (+ (* 4 (/ 1 x)) (/ 4 (pow x 2))))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 4) x)))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))))
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))))
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))))
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
(+ (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
(+ (* 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)))))
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(* (/ (sqrt 1/2) t) (sqrt (/ (- x 1) (+ 1 x))))
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(* (/ 1 l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
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(/ (+ (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (+ (* -1 (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* -1/2 (* (/ (+ (* -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)))))) l)
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(* -1 (* (/ 1 l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))
(* -1 (/ (+ (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* -1 (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) l))
(* -1 (/ (+ (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (+ (* -1 (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* -1/2 (* (/ (+ (* -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)))))) l))
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(sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))
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(+ (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow t 2) (+ (* -1 (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))))
(* (/ (sqrt 1/2) t) (sqrt (/ (- x 1) (+ 1 x))))
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(/ (+ (* -1/2 (* (/ (+ (* -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 (* (/ (- (/ (* (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 (/ (- x 1) (+ 1 x)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -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 (* (/ (+ (* 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 (* (/ (- (/ (* (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 (/ (- x 1) (+ 1 x))))))) t)
(* -1 (* (/ (sqrt 1/2) t) (sqrt (/ (- x 1) (+ 1 x)))))
(* -1 (/ (+ (* -1/8 (* (/ (- (/ (* (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 (/ (- x 1) (+ 1 x))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -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 (* (/ (- (/ (* (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 (/ (- x 1) (+ 1 x)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -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 (* (/ (+ (* 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 (* (/ (- (/ (* (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 (/ (- x 1) (+ 1 x))))))) t))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt -2))
(+ (* -1 (/ (* l x) (sqrt -2))) (* l (sqrt -2)))
(+ (* l (sqrt -2)) (* x (+ (* -1 (/ l (sqrt -2))) (* -1/2 (/ (* l (* x (+ 2 (/ 1 (pow (sqrt -2) 2))))) (sqrt -2))))))
(+ (* l (sqrt -2)) (* x (+ (* -1 (/ l (sqrt -2))) (* x (+ (* -1/2 (/ (* l (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -2) 2))) (/ 1 (pow (sqrt -2) 4)))))) (sqrt -2))) (* -1/2 (/ (* l (+ 2 (/ 1 (pow (sqrt -2) 2)))) (sqrt -2))))))))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(+ (* (* l (sqrt 2)) (sqrt (/ 1 x))) (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 3)))))
(+ (* (* l (sqrt 2)) (sqrt (/ 1 x))) (+ (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 3)))) (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 5))))))
(+ (* 1/2 (* (/ (* l (- 2 (/ x (pow (sqrt 2) 2)))) (sqrt 2)) (sqrt (/ 1 (pow x 7))))) (+ (* (* l (sqrt 2)) (sqrt (/ 1 x))) (+ (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 3)))) (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 5)))))))
(* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x)))
(+ (* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x))) (* (/ (* l (sqrt -1)) (sqrt -2)) (sqrt (/ 1 (pow x 3)))))
(+ (* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x))) (+ (* (/ (* l (sqrt -1)) (sqrt -2)) (sqrt (/ 1 (pow x 3)))) (* (/ (* l (sqrt -1)) (sqrt -2)) (sqrt (/ 1 (pow x 5))))))
(+ (* -1 (/ (+ (* -1 (* (/ (* l (sqrt -1)) (sqrt -2)) (sqrt x))) (* -1/2 (* (/ (* l (* (sqrt -1) (- 2 (* -1 (/ x (pow (sqrt -2) 2)))))) (sqrt -2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x))) (* (/ (* l (sqrt -1)) (sqrt -2)) (sqrt (/ 1 (pow x 3))))))
(/ (pow l 2) (* t (* x (sqrt 2))))
(/ (+ (* 2 (/ (pow t 2) (* x (sqrt 2)))) (/ (pow l 2) (* x (sqrt 2)))) t)
(/ (+ (* 2 (/ (pow t 2) (* x (sqrt 2)))) (/ (pow l 2) (* x (sqrt 2)))) t)
(/ (+ (* 2 (/ (pow t 2) (* x (sqrt 2)))) (/ (pow l 2) (* x (sqrt 2)))) t)
(* 2 (/ t (* x (sqrt 2))))
(* t (+ (* 2 (/ 1 (* x (sqrt 2)))) (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))))
(* t (+ (* 2 (/ 1 (* x (sqrt 2)))) (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))))
(* t (+ (* 2 (/ 1 (* x (sqrt 2)))) (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))))
(* 2 (/ t (* x (sqrt 2))))
(* -1 (* t (- (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 2 (/ 1 (* x (sqrt 2)))))))
(* -1 (* t (- (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 2 (/ 1 (* x (sqrt 2)))))))
(* -1 (* t (- (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 2 (/ 1 (* x (sqrt 2)))))))
(* 2 (/ t (* x (sqrt 2))))
(+ (* 2 (/ t (* x (sqrt 2)))) (/ (pow l 2) (* t (* x (sqrt 2)))))
(+ (* 2 (/ t (* x (sqrt 2)))) (/ (pow l 2) (* t (* x (sqrt 2)))))
(+ (* 2 (/ t (* x (sqrt 2)))) (/ (pow l 2) (* t (* x (sqrt 2)))))
(/ (pow l 2) (* t (* x (sqrt 2))))
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (/ 1 (* t (* x (sqrt 2))))))
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (/ 1 (* t (* x (sqrt 2))))))
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (/ 1 (* t (* x (sqrt 2))))))
(/ (pow l 2) (* t (* x (sqrt 2))))
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (/ 1 (* t (* x (sqrt 2))))))
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (/ 1 (* t (* x (sqrt 2))))))
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (/ 1 (* t (* x (sqrt 2))))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2))))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))
(* t (* x (sqrt 2)))

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

rewrite359.0ms (2.4%)

Memory

-11.1MiB live, 408.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 858×	`lower-*.f32`
5 836×	`lower-*.f64`
4 132×	`lower-/.f32`
4 120×	`lower-/.f64`
2 834×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	305
0	88	294
1	323	279
2	2686	279
0	9357	276

Stop Event

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

Counts

19 → 371

Calls

Call 1

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

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

eval84.0ms (0.6%)

Memory: 30.4MiB live, 197.3MiB allocated
Compiler: Compiled 57 484 to 994 computations (98.3% saved)

prune69.0ms (0.5%)

Memory

-9.3MiB live, 150.9MiB allocated

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	493	15	508
Fresh	5	7	12
Picked	0	5	5
Done	0	2	2
Total	498	29	527

Accuracy

90.2%

Counts

527 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.9%	(/.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 t (sqrt.f64 #s(literal 2 binary64)))))
	10.1%	(/.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
▶	30.2%	(/.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)))))
	2.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
▶	54.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))))
	54.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+.f64 (fma.f64 #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)))))
✓	50.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x))))))
✓	73.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
✓	73.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
✓	72.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	10.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
▶	72.0%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) t)
	72.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
▶	73.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
	72.0%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) t))
	72.0%	(.f64 t (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (sqrt.f64 #s(literal 2 binary64)))))
	72.4%	(.f64 t (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #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))))))))))
	71.9%	(.f64 t (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (sqrt.f64 #s(literal 2 binary64))))
✓	73.4%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))))
	66.1%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (neg.f64 (log.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))))
	10.1%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ 1 (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) l))))
	4.6%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ 1 (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))))))))
	34.6%	(.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))))))
	30.3%	(.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))))))
	65.6%	(.f64 t (exp.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
	10.1%	(.f64 t #s(approx ( (sqrt 2) (/ 1 (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))))
▶	72.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
	9.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
✓	71.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))

Compiler

Compiled 1 138 to 736 computations (35.3% saved)

simplify384.0ms (2.5%)

Memory

-18.7MiB live, 537.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (*.f64 l l) x))) (neg.f64 x))
✓	cost-diff	704	(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))
✓	cost-diff	1024	(-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))
✓	cost-diff	2624	(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x)))))
✓	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)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 l l)))))
✓	cost-diff	2624	(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))))
✓	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	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
✓	cost-diff	0	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) t)
✓	cost-diff	0	(.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

17 218×	`lower-fma.f32`
17 210×	`lower-fma.f64`
2 924×	`lower-+.f32`
2 920×	`lower-+.f64`
2 572×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	676
0	106	672
1	191	662
2	401	662
3	1003	657
4	2976	626
5	7543	626
0	8078	621

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

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

localize248.0ms (1.6%)

Memory

12.6MiB live, 399.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	88.5%	(/.f64 (*.f64 l l) x)
✓	accuracy	84.1%	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)
✓	accuracy	84.1%	(/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (*.f64 l l) x))) (neg.f64 x))
✓	accuracy	63.8%	(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x)))))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	84.1%	(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	63.8%	(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))))
✓	accuracy	58.1%	(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)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	98.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) t)
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	99.3%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
✓	accuracy	99.6%	(/.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	99.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
✓	accuracy	99.3%	(.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)

Samples

67.0ms	90×	1	valid
64.0ms	157×	0	valid
8.0ms	8×	2	valid
3.0ms	1×	5	exit

Compiler

Compiled 702 to 55 computations (92.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 26.0ms (27.5% of total)

ival-div: 25.0ms (26.5% of total)

ival-sqrt: 12.0ms (12.7% of total)

ival-add: 12.0ms (12.7% of total)

adjust: 9.0ms (9.5% of total)

ival-sub: 6.0ms (6.3% of total)

ival-neg: 3.0ms (3.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series86.0ms (0.6%)

Memory

22.8MiB live, 109.4MiB allocated

Counts

22 → 564

Calls

Call 1

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

Outputs
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))>
#<alt (* (sqrt 1/2) (sqrt 2))>
#<alt (+ (* -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)))>
#<alt (+ (* -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))))>
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#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))>
#<alt (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))>
#<alt (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))>
#<alt (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))>
#<alt (- (+ (* -1 (+ (* 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))>
#<alt (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2))>
#<alt (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2))>
#<alt (* 2 (pow t 2))>
#<alt (- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)))>
#<alt (- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 2))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 2)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))))>
#<alt (- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 3))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 3)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))) (* -1 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow x 2))))))>
#<alt (* 2 (pow t 2))>
#<alt (- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))) x)) (* 2 (pow t 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) x))) x)) (* 2 (pow t 2)))>
#<alt (/ (pow l 2) (- x 1))>
#<alt (+ (* 2 (/ (pow t 2) (- x 1))) (/ (pow l 2) (- x 1)))>
#<alt (+ (* 2 (/ (pow t 2) (- x 1))) (/ (pow l 2) (- x 1)))>
#<alt (+ (* 2 (/ (pow t 2) (- x 1))) (/ (pow l 2) (- x 1)))>
#<alt (* 2 (/ (pow t 2) (- x 1)))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 (- x 1))) (/ (pow l 2) (* (pow t 2) (- x 1)))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 (- x 1))) (/ (pow l 2) (* (pow t 2) (- x 1)))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 (- x 1))) (/ (pow l 2) (* (pow t 2) (- x 1)))))>
#<alt (* 2 (/ (pow t 2) (- x 1)))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 (- x 1))) (/ (pow l 2) (* (pow t 2) (- x 1)))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 (- x 1))) (/ (pow l 2) (* (pow t 2) (- x 1)))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 (- x 1))) (/ (pow l 2) (* (pow t 2) (- x 1)))))>
#<alt (* 2 (/ (pow t 2) (- x 1)))>
#<alt (+ (* 2 (/ (pow t 2) (- x 1))) (/ (pow l 2) (- x 1)))>
#<alt (+ (* 2 (/ (pow t 2) (- x 1))) (/ (pow l 2) (- x 1)))>
#<alt (+ (* 2 (/ (pow t 2) (- x 1))) (/ (pow l 2) (- x 1)))>
#<alt (/ (pow l 2) (- x 1))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))>
#<alt (/ (pow l 2) (- x 1))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))>
#<alt (* -1 (+ (* 2 (pow t 2)) (pow l 2)))>
#<alt (+ (* -1 (* x (+ (* 2 (pow t 2)) (pow l 2)))) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))>
#<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)))))>
#<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)))))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (pow l 2)))) x)>
#<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)>
#<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)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (* -1 (/ (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) x))>
#<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))>
#<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))>
#<alt (/ (pow l 2) x)>
#<alt (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))>
#<alt (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))>
#<alt (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))>
#<alt (* 2 (/ (pow t 2) x))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x))))>
#<alt (* 2 (/ (pow t 2) x))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x))))>
#<alt (* (pow t 2) (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x))))>
#<alt (* 2 (/ (pow t 2) x))>
#<alt (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))>
#<alt (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))>
#<alt (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))>
#<alt (/ (pow l 2) x)>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (/ 1 x)))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (/ 1 x)))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (/ 1 x)))>
#<alt (/ (pow l 2) x)>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (/ 1 x)))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (/ 1 x)))>
#<alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (/ 1 x)))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>

Calls

141 calls:

Time	Variable		Point	Expression
15.0ms	t	@	0	(/ (+ (* 2 (* t t)) (* l l)) x)
8.0ms	l	@	0	(/ (- (- (* (+ (* 2 (* t t)) (* l l)) -2) (/ (+ (* 2 (* t t)) (* l l)) x)) (+ (* 2 (/ (* t t) x)) (/ (* l l) x))) (neg x))
2.0ms	x	@	-inf	(+ (* 2 (/ (* t t) x)) (/ (* l l) x))
1.0ms	x	@	0	(/ 1 (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
1.0ms	t	@	0	(/ (- (- (* (+ (* 2 (* t t)) (* l l)) -2) (/ (+ (* 2 (* t t)) (* l l)) x)) (+ (* 2 (/ (* t t) x)) (/ (* l l) x))) (neg x))

simplify556.0ms (3.7%)

Memory

14.8MiB live, 712.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 554×	`lower-*.f64`
7 554×	`lower-*.f32`
5 986×	`lower-fma.f64`
5 986×	`lower-fma.f32`
3 748×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1287	41082
1	4431	39853
0	8352	37636

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

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

rewrite408.0ms (2.7%)

Memory

21.8MiB live, 526.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 548×	`lower-/.f32`
4 528×	`lower-/.f64`
3 566×	`lower-*.f32`
3 548×	`lower-*.f64`
3 324×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	347
0	98	339
1	377	311
2	3392	311
0	8836	309

Stop Event

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

Counts

22 → 726

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

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

eval127.0ms (0.8%)

Memory: -5.0MiB live, 273.1MiB allocated
Compiler: Compiled 63 821 to 2 012 computations (96.8% saved)

prune219.0ms (1.4%)

Memory

4.7MiB live, 284.2MiB allocated

Pruning

33 alts after pruning (24 fresh and 9 done)

	Pruned	Kept	Total
New	755	16	771
Fresh	9	8	17
Picked	2	3	5
Done	1	6	7
Total	767	33	800

Accuracy

90.3%

Counts

800 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.6%	(/.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))))
	70.9%	(/.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 t (sqrt.f64 #s(literal 2 binary64)))))
	10.1%	(/.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
	2.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(approx (/ (+ ( 2 (* t t)) (* l l)) (+ x -1)) (/.f64 (.f64 l l) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 l l)))))
	54.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))))
	54.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+.f64 (fma.f64 #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)))))
	26.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)) (+ x 1)) (neg (* l l))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64))))))
	7.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)) (+ x 1)) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
✓	50.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x))))))
✓	73.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
	73.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))
✓	72.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	10.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
	71.0%	(.f64 (/.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) t)
✓	72.0%	(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) t)
	72.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) t)
	72.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
✓	73.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
	71.9%	(.f64 (.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(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) t)
	72.0%	(.f64 (.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(literal 2 binary64))))) t) (sqrt.f64 #s(literal 2 binary64)))
	66.3%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))) t)
	66.1%	(.f64 (exp.f64 (neg.f64 (log.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
	10.1%	(.f64 #s(approx (/ (sqrt 2) (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))) t)
	17.2%	(.f64 #s(approx (/ 1 (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (.f64 (.f64 t t) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
✓	73.4%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))))
	10.1%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ 1 (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) l))))
	4.6%	(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ 1 (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))))))))
	30.3%	(.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))))))
✓	72.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
	9.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
✓	71.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
	2.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)) (+ x 1)) (neg (* 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 t (.f64 t t)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 l l) (+.f64 x #s(literal -1 binary64))))))) l))
	9.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)) (+ x 1)) (neg (* 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)))))))

Compiler

Compiled 2 254 to 790 computations (65% saved)

regimes120.0ms (0.8%)

Memory

-5.4MiB live, 163.8MiB allocated

Counts

61 → 4

Calls

Call 1

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

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

Calls

6 calls:

35.0ms	(*.f64 l l)
20.0ms	t
17.0ms	x
16.0ms	l
14.0ms	(/.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
73.8%	1	`x`
78.9%	3	`l`
85.3%	4	`t`
77.4%	3	`(/.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))))`
73.8%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
78.5%	3	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes22.0ms (0.1%)

Memory

5.5MiB live, 42.1MiB allocated

Counts

60 → 4

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
85.3%	4	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes60.0ms (0.4%)

Memory

-9.6MiB live, 28.9MiB allocated

Counts

47 → 4

Calls

Call 1

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

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

Calls

1 calls:

57.0ms

Results

Accuracy	Segments	Branch
84.9%	4	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.2%)

Memory

7.6MiB live, 50.7MiB 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)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) t)
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(.f64 t (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) t))
(.f64 (.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(literal 2 binary64))))) t) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.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(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) t)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(.f64 t (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* 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 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
#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) (neg.f64 (fma.f64 l l (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))))))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ 1 (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)) (+ x 1)) (neg (* l l))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 t t) (+.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 (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(approx (/ (+ ( 2 (* t t)) (* l l)) (+ x -1)) (/.f64 (.f64 l l) (+.f64 x #s(literal -1 binary64)))) (+.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))))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(/.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) (sqrt.f64 #s(approx (+ ( (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)) (+ x 1)) (neg (* l l))) (.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (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 (+ (* (/ (+ (* 2 (* t t)) (* l l)) (+ x -1)) (+ x 1)) (neg (* l l))))) (.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))))
(.f64 t #s(approx ( (sqrt 2) (/ 1 (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (/ 1 (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) l))))
(.f64 #s(approx (/ (sqrt 2) (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))) t)
(/.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) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x))))))
(/.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 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))))) (*.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 l (.f64 l (+.f64 x #s(literal 1 binary64)))) (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))))))

Outputs

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

Calls

2 calls:

15.0ms	t
12.0ms	l

Results

Accuracy	Segments	Branch
73.8%	1	`l`
77.1%	2	`t`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes25.0ms (0.2%)

Memory

-28.0MiB live, 48.4MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

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

(/.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)))))))

Calls

2 calls:

12.0ms	t
9.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
73.8%	1	`(*.f64 l l)`
76.5%	2	`t`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.1%)

Memory

39.2MiB live, 39.2MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

#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) (neg.f64 (fma.f64 l l (fma.f64 l l (*.f64 #s(literal 2 binary64) (*.f64 t t)))))))))

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

Calls

2 calls:

8.0ms

6.0ms

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

Results

Accuracy	Segments	Branch
73.8%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
75.6%	2	`t`

Compiler

Compiled 34 to 21 computations (38.2% saved)

regimes10.0ms (0.1%)

Memory

-20.1MiB live, 19.5MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

#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) (neg.f64 (fma.f64 l l (fma.f64 l l (*.f64 #s(literal 2 binary64) (*.f64 t t)))))))))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
75.6%	2	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.2%)

Memory

4.3MiB live, 47.1MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
73.7%	1	`x`
73.7%	1	`l`
73.7%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
73.7%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
73.7%	1	`(*.f64 l l)`
73.7%	1	`t`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes27.0ms (0.2%)

Memory

6.1MiB live, 45.1MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
73.4%	1	`x`
73.4%	1	`l`
73.4%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
73.4%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
73.4%	1	`(*.f64 l l)`
73.4%	1	`t`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes25.0ms (0.2%)

Memory

2.2MiB live, 41.0MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
73.4%	1	`x`
73.4%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
73.4%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
73.4%	1	`(*.f64 l l)`
73.4%	1	`l`
73.4%	1	`t`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes24.0ms (0.2%)

Memory

0.3MiB live, 39.3MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs

#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)))))

Calls

6 calls:

5.0ms	l
4.0ms	t
4.0ms	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
72.6%	1	`x`
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	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
72.6%	1	`(*.f64 l l)`
72.6%	1	`l`
72.6%	1	`t`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes22.0ms (0.1%)

Memory

-3.8MiB live, 36.8MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	t
4.0ms	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
72.3%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
72.3%	1	`(*.f64 l l)`
72.3%	1	`x`
72.3%	1	`l`
72.3%	1	`t`
72.3%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes11.0ms (0.1%)

Memory

-21.6MiB live, 16.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Calls

6 calls:

3.0ms	l
2.0ms	t
2.0ms	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
72.0%	1	`x`
72.0%	1	`l`
72.0%	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))))`
72.0%	1	`(*.f64 l l)`
72.0%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
72.0%	1	`t`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes7.0ms (0%)

Memory

15.4MiB live, 15.4MiB 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)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))

Outputs
#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))))

Calls

6 calls:

1.0ms	t
1.0ms	x
1.0ms	l
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
71.2%	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))))`
71.2%	1	`(*.f64 l l)`
71.2%	1	`x`
71.2%	1	`l`
71.2%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
71.2%	1	`t`

Compiler

Compiled 58 to 38 computations (34.5% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8917154948396682e+49	1.241989089546839e+50
0.0ms	8.267696595378092e-187	4.142531469847953e-186
0.0ms	5.870067227307458e-251	3.5784753938089968e-245

Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8917154948396682e+49	1.241989089546839e+50
0.0ms	8.267696595378092e-187	4.142531469847953e-186
0.0ms	5.870067227307458e-251	3.5784753938089968e-245

Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.8917154948396682e+49	1.241989089546839e+50
0.0ms	8.267696595378092e-187	4.142531469847953e-186
0.0ms	5.870067227307458e-251	3.5784753938089968e-245

Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.04681997517631e-73	5.2123845845335726e-70

Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.870067227307458e-251	3.5784753938089968e-245

Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.378470327287511e-256	5.870067227307458e-251

Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.378470327287511e-256	5.870067227307458e-251

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify100.0ms (0.7%)

Memory

4.1MiB live, 42.2MiB allocated

Algorithm

1×	egg-herbie

Rules

722×	`distribute-lft-neg-in_binary64`
450×	`unsub-neg_binary64`
396×	`neg-mul-1_binary64`
346×	`neg-sub0_binary64`
292×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	1289
1	190	1289
2	221	1289
3	250	1284
4	302	1284
5	361	1284
6	421	1284
7	525	1284
8	672	1284
9	800	1284
10	901	1284
11	1006	1284
12	1172	1284
13	1414	1284
14	1718	1284
15	1990	1284
16	2176	1284
17	2257	1284
18	2274	1284
19	2275	1284
20	2275	1284
21	2275	1284

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 1612226962694291/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (/.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x)))))) (if (<=.f64 t #s(literal 2449441655328671/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)))))) (if (<=.f64 t #s(literal 19999999999999998929805538950963586393744829579264 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x)))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))))
(if (<=.f64 t #s(literal 1612226962694291/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 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 (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))))) (if (<=.f64 t #s(literal 2449441655328671/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)))))) (if (<=.f64 t #s(literal 19999999999999998929805538950963586393744829579264 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x)))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))))
(if (<=.f64 t #s(literal 1612226962694291/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 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 (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))))) (if (<=.f64 t #s(literal 2449441655328671/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)))))) (if (<=.f64 t #s(literal 19999999999999998929805538950963586393744829579264 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 (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 (- (* (/ (+ 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))))))))))
(if (<=.f64 t #s(literal 3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t 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 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(if (<=.f64 t #s(literal 1612226962694291/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ ( (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))) (.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))) (/.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))))))))
(if (<=.f64 t #s(literal 6762169998536515/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 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) (neg.f64 (fma.f64 l l (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))))))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(if (<=.f64 t #s(literal 6762169998536515/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 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) (neg.f64 (fma.f64 l l (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))))))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 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 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 (/.f64 (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 (.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 (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) t)
#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))))

Outputs
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(if (<=.f64 t #s(literal 6762169998536515/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 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) (fma.f64 l l (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))))))) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 t (sqrt.f64 (.f64 #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) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* 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 (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* 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 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) t)
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))

soundness1.3s (8.5%)

Memory

4.0MiB live, 1 107.5MiB 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	1338	27475
1	4648	26596
0	9413	24851
0	57	347
0	98	339
1	377	311
2	3392	311
0	8836	309
0	676	10349
1	2332	9162
0	8701	8754
0	57	305
0	88	294
1	323	279
2	2686	279
0	9357	276
0	52	250
0	88	244
1	364	237
2	2838	233
0	8791	232
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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 298 to 551 computations (57.6% saved)

preprocess531.0ms (3.5%)

Memory: -140.2MiB live, 520.4MiB allocated
Remove: (abs l)
Compiler: Compiled 6 654 to 2 226 computations (66.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze390.0ms (2.6%)

sample3.5s (23.2%)

preprocess740.0ms (4.9%)

explain276.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify445.0ms (2.9%)

localize106.0ms (0.7%)

series62.0ms (0.4%)

simplify438.0ms (2.9%)

rewrite503.0ms (3.3%)

eval143.0ms (0.9%)

prune94.0ms (0.6%)

simplify451.0ms (3%)

localize185.0ms (1.2%)

series168.0ms (1.1%)

simplify799.0ms (5.3%)

rewrite461.0ms (3%)

eval103.0ms (0.7%)

prune85.0ms (0.6%)

simplify398.0ms (2.6%)

localize239.0ms (1.6%)

series73.0ms (0.5%)

simplify564.0ms (3.7%)

rewrite359.0ms (2.4%)

eval84.0ms (0.6%)

prune69.0ms (0.5%)

simplify384.0ms (2.5%)

localize248.0ms (1.6%)

series86.0ms (0.6%)

simplify556.0ms (3.7%)

rewrite408.0ms (2.7%)

eval127.0ms (0.8%)

prune219.0ms (1.4%)

regimes120.0ms (0.8%)

regimes22.0ms (0.1%)

regimes60.0ms (0.4%)

regimes30.0ms (0.2%)

regimes25.0ms (0.2%)

regimes16.0ms (0.1%)

regimes10.0ms (0.1%)

regimes29.0ms (0.2%)

regimes27.0ms (0.2%)

regimes25.0ms (0.2%)

regimes24.0ms (0.2%)

regimes22.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify100.0ms (0.7%)

soundness1.3s (8.5%)

preprocess531.0ms (3.5%)

end0.0ms (0%)

Profiling