Metrics for Toniolo and Linder, Equation (2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze376.0ms (3.2%)

Memory

42.1MiB live, 755.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
19.2%	18.7%	78.8%	0.2%	0%	2.3%	0%	9
19.4%	18.7%	77.6%	0.2%	0%	3.5%	0%	10
22.8%	21.8%	73.9%	0.2%	0%	4.1%	0%	11
23.3%	21.8%	71.8%	0.2%	0%	6.1%	0%	12

Compiler

Compiled 21 to 18 computations (14.3% saved)

sample4.5s (38%)

Memory

-21.6MiB live, 4 529.8MiB allocated

Samples

1.7s	3 871×	1	valid
1.1s	7 101×	0	invalid
745.0ms	4 385×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-div: 669.0ms (23.6% of total)

ival-pow2: 562.0ms (19.9% of total)

ival-sub: 449.0ms (15.9% of total)

ival-add: 282.0ms (10% of total)

ival-sqrt: 250.0ms (8.8% of total)

ival-asin: 223.0ms (7.9% of total)

ival-mult: 195.0ms (6.9% of total)

adjust: 167.0ms (5.9% of total)

exact: 17.0ms (0.6% of total)

ival-true: 12.0ms (0.4% of total)

ival-assert: 6.0ms (0.2% of total)

Bogosity

explain279.0ms (2.4%)

Memory

-26.5MiB live, 402.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
47	0	-	1	(1.1363719704209472e+99 6.1423957437480166e-61 3.2899913107253094e-307 -2.7608252339017817e+215)	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`
9	118	(5.008749262811191e-299 2.487488756982419e-230 9.772375198374183e-164 -9.967875928306435e+188)	0	-	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`
1	0	-	0	-	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`
0	0	-	0	-	`Om`
0	0	-	0	-	`t`
0	0	-	0	-	`(/.f64 t l)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
0	0	-	0	-	`Omc`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
0	0	-	0	-	`(/.f64 Om Omc)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`l`
0	0	-	0	-	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
0	0	-	0	-	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`asin.f64`	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`	sensitivity	127	0
`sqrt.f64`	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`	uflow-rescue	46	0
↳	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`	underflow	70
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`	underflow	73
↳	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`	underflow	24
↳	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`	underflow	73
↳	`(/.f64 t l)`	underflow	30
↳	`(/.f64 Om Omc)`	underflow	55
↳	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`	underflow	139
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`	n/o	1	0
↳	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`	overflow	71
↳	`(/.f64 t l)`	overflow	25
↳	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`	overflow	71
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`	overflow	71

Confusion

	Predicted +	Predicted -
+	56	0
-	118	82

Precision

0.3218390804597701

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	56	0	0
-	118	0	82

Precision?

0.3218390804597701

Recall?

1.0

Freqs

test

number	freq
0	82
1	174

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

64.0ms	244×	1	valid
44.0ms	268×	0	valid

Compiler

Compiled 221 to 52 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 18.0ms (26.8% of total)

ival-pow2: 14.0ms (20.8% of total)

adjust: 9.0ms (13.4% of total)

ival-asin: 8.0ms (11.9% of total)

ival-sqrt: 5.0ms (7.4% of total)

ival-mult: 4.0ms (5.9% of total)

ival-sub: 3.0ms (4.5% of total)

ival-add: 3.0ms (4.5% of total)

exact: 1.0ms (1.5% of total)

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

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

preprocess175.0ms (1.5%)

Memory

-12.0MiB live, 217.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	278
1	186	270
2	446	270
3	1707	270
4	4623	270
0	16	19
0	26	19
1	41	19
2	80	19
3	262	19
4	756	19
5	1824	19
6	5374	19
0	8104	18

Stop Event

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

Calls

Call 1

Inputs

(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))

Outputs

(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))

(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))

Symmetry

(abs Omc)

(abs Om)

(abs l)

(abs t)

Compiler

Compiled 19 to 16 computations (15.8% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.1%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))

Status

Accuracy

Program

▶

82.1%

(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify143.0ms (1.2%)

Memory

6.2MiB live, 193.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
cost-diff	0	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
cost-diff	0	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
cost-diff	1	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	99
0	26	99
1	41	99
2	80	99
3	262	99
4	756	99
5	1824	99
6	5374	99
0	8104	95

Stop Event

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

Calls

Call 1

Inputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l

Outputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l

localize84.0ms (0.7%)

Memory

26.4MiB live, 83.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1875	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
accuracy	0.22103500976844204	(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy	0.5990198174485074	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
accuracy	10.704169355039824	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))

Samples

59.0ms	122×	1	valid
14.0ms	134×	0	valid

Compiler

Compiled 101 to 18 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-pow2: 23.0ms (38.6% of total)

ival-div: 21.0ms (35.3% of total)

ival-asin: 4.0ms (6.7% of total)

adjust: 3.0ms (5% of total)

ival-sqrt: 3.0ms (5% of total)

ival-sub: 2.0ms (3.4% of total)

ival-mult: 2.0ms (3.4% of total)

ival-add: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.4%)

Memory

-32.7MiB live, 57.8MiB allocated

Counts

6 → 60

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))

Outputs
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(/ (pow t 2) (pow l 2))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(/ (pow Om 2) (pow Omc 2))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	t	@	0	((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2))
6.0ms	Omc	@	inf	((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2))
4.0ms	Om	@	0	((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2))
4.0ms	t	@	inf	((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2))
3.0ms	l	@	0	((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2))

simplify201.0ms (1.7%)

Memory

45.2MiB live, 232.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	390	3481
1	1340	2940
2	6131	2895
0	8598	2765

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite128.0ms (1.1%)

Memory

-35.7MiB live, 197.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	73
0	26	73
1	94	69
2	584	51
0	8434	51

Stop Event

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

Counts

6 → 683

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -3 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -2 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (pow.f64 (/.f64 t l) #s(literal 4 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 t l) #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
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(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) (.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 (/.f64 Om Omc) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (neg.f64 (.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 Om) Omc)) (/.f64 (neg.f64 Om) Omc))
(.f64 (.f64 (/.f64 Om Omc) (sqrt.f64 (/.f64 Om Omc))) (sqrt.f64 (/.f64 Om Omc)))
(*.f64 (pow.f64 (/.f64 (neg.f64 Om) Omc) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 Om) Omc) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 Om Omc)) (.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc)))
(.f64 (/.f64 (neg.f64 Om) Omc) (.f64 (/.f64 (neg.f64 Om) Omc) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 (neg.f64 Om) Omc))
(*.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) (neg.f64 Omc)))
(.f64 (neg.f64 Om) (/.f64 (neg.f64 Om) (.f64 Omc Omc)))
(.f64 (neg.f64 Om) (/.f64 Om (.f64 (neg.f64 Omc) Omc)))
(*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(*.f64 Om (/.f64 (/.f64 Om Omc) Omc))
(.f64 Om (/.f64 (neg.f64 Om) (.f64 (neg.f64 Omc) Omc)))
(.f64 Om (/.f64 Om (.f64 Omc Omc)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 Om Omc)))
(pow.f64 (/.f64 (neg.f64 Om) Omc) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (.f64 (neg.f64 Om) Om) Omc) #s(literal 1 binary64)) (neg.f64 Omc))
(/.f64 (.f64 (.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64)) Omc)
(/.f64 (.f64 (.f64 (neg.f64 Om) Om) #s(literal 1 binary64)) (*.f64 (neg.f64 Omc) Omc))
(/.f64 (.f64 (.f64 Om Om) #s(literal 1 binary64)) (*.f64 Omc Omc))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 Om) Om) Omc)) (neg.f64 Omc))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) Om)) Omc)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 Om) Om)) (*.f64 (neg.f64 Omc) Omc))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 Om Om)) (*.f64 Omc Omc))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc)) Omc)
(/.f64 (fabs.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc)) (fabs.f64 (neg.f64 Omc)))
(/.f64 (fabs.f64 (*.f64 (/.f64 Om Omc) Om)) (fabs.f64 Omc))
(/.f64 (fabs.f64 (.f64 (neg.f64 Om) Om)) (fabs.f64 (.f64 (neg.f64 Omc) Omc)))
(/.f64 (fabs.f64 (.f64 Om Om)) (fabs.f64 (.f64 Omc Omc)))
(/.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc) (neg.f64 Omc))
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)
(/.f64 (.f64 (neg.f64 Om) Om) (.f64 (neg.f64 Omc) Omc))
(/.f64 (.f64 Om Om) (.f64 Omc Omc))
(neg.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (/.f64 Om Omc))) (cosh.f64 (log.f64 (/.f64 Om Omc)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(+.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))
(+.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 t l) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) l)) (/.f64 (neg.f64 t) l))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 t l)) (/.f64 t l))
(*.f64 (pow.f64 (/.f64 (neg.f64 t) l) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 t) l) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (/.f64 t l)) (.f64 (sqrt.f64 (/.f64 t l)) (/.f64 t l)))
(.f64 (/.f64 (neg.f64 t) l) (.f64 (/.f64 (neg.f64 t) l) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 t) l) (/.f64 (neg.f64 t) l))
(*.f64 (neg.f64 t) (/.f64 (/.f64 t l) (neg.f64 l)))
(.f64 (neg.f64 t) (/.f64 (neg.f64 t) (.f64 l l)))
(.f64 (neg.f64 t) (/.f64 t (.f64 (neg.f64 l) l)))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 t l) (.f64 (/.f64 t l) #s(literal 1 binary64)))
(*.f64 (/.f64 t l) (/.f64 t l))
(*.f64 t (/.f64 (/.f64 t l) l))
(.f64 t (/.f64 (neg.f64 t) (.f64 (neg.f64 l) l)))
(.f64 t (/.f64 t (.f64 l l)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 t l)))
(pow.f64 (/.f64 (neg.f64 t) l) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (.f64 (neg.f64 t) t) l) #s(literal 1 binary64)) (neg.f64 l))
(/.f64 (.f64 (.f64 (/.f64 t l) t) #s(literal 1 binary64)) l)
(/.f64 (.f64 (.f64 (neg.f64 t) t) #s(literal 1 binary64)) (*.f64 (neg.f64 l) l))
(/.f64 (.f64 (.f64 t t) #s(literal 1 binary64)) (*.f64 l l))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 t) t) l)) (neg.f64 l))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 t l) t)) l)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) t)) (*.f64 (neg.f64 l) l))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 t t)) (*.f64 l l))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (-.f64 (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 t) t) l)) l)
(/.f64 (/.f64 (*.f64 (neg.f64 t) t) l) (neg.f64 l))
(/.f64 (*.f64 (/.f64 t l) t) l)
(/.f64 (.f64 (neg.f64 t) t) (.f64 (neg.f64 l) l))
(/.f64 (.f64 t t) (.f64 l l))
(neg.f64 (neg.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (/.f64 t l))) (cosh.f64 (log.f64 (/.f64 t l)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(fabs.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(+.f64 (.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) (.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(+.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))

eval99.0ms (0.8%)

Memory: 34.9MiB live, 219.5MiB allocated
Compiler: Compiled 21 889 to 3 578 computations (83.7% saved)

prune26.0ms (0.2%)

Memory

2.4MiB live, 61.4MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	731	10	741
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	732	10	742

Accuracy

99.0%

Counts

742 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.1%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
	79.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l))))))
▶	68.2%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l))))))))
	72.1%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
▶	32.5%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
	67.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
▶	52.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
	19.5%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
▶	48.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
	43.0%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))

Compiler

Compiled 634 to 460 computations (27.4% saved)

simplify98.0ms (0.8%)

Memory

-0.0MiB live, 92.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l)))))))
cost-diff	0	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l))))))))
cost-diff	1	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l)))))
cost-diff	2	(.f64 t (/.f64 t (.f64 l l)))
cost-diff	0	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
cost-diff	0	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
cost-diff	2	(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))
cost-diff	4	(/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))
cost-diff	0	(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
cost-diff	0	#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
cost-diff	0	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
cost-diff	2	(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
cost-diff	0	#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
cost-diff	0	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
cost-diff	0	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
cost-diff	2	(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
cost-diff	0	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))))
cost-diff	0	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
cost-diff	2	(.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l)))
cost-diff	6	(fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	699
0	101	705
1	198	627
2	619	613
3	3553	613
0	8188	591

Stop Event

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

Calls

Call 1

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

Outputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 t l)) #s(literal 3 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l
(sqrt.f64 (/.f64 t l))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
l
t
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(fma.f64 Omc Omc (*.f64 (neg.f64 Om) Om))
Omc
(*.f64 (neg.f64 Om) Om)
(neg.f64 Om)
Om
(.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) Omc Omc) Omc)
(*.f64 Omc Omc)
(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t)
(/.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
t
#s(literal 1 binary64)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l))))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l)))))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l))))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 t (/.f64 t (.f64 l l)))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
t
(/.f64 t (*.f64 l l))
(/.f64 (/.f64 t l) l)
(*.f64 l l)
l

localize198.0ms (1.7%)

Memory

-13.1MiB live, 314.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5990198174485074	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l))))))))
accuracy	3.5655861762489938	(.f64 t (/.f64 t (.f64 l l)))
accuracy	8.246505266639847	(/.f64 t (*.f64 l l))
accuracy	10.704169355039824	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l)))))))
accuracy	4.249953209294523	(fma.f64 Omc Omc (*.f64 (neg.f64 Om) Om))
accuracy	7.8297366261437045	(.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t)
accuracy	10.704169355039824	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
accuracy	32.116147036338525	(/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))
accuracy	0.22103500976844204	(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
accuracy	0.44921875	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
accuracy	0.5990198174485074	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
accuracy	30.913685512876278	#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
accuracy	0.22103500976844204	(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
accuracy	0.5990198174485074	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
accuracy	10.704169355039824	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
accuracy	30.446100559031297	#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
accuracy	0.22103500976844204	(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy	0.5990198174485074	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
accuracy	10.704169355039824	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))))
accuracy	13.727274509275608	(sqrt.f64 (/.f64 t l))

Samples

92.0ms	122×	1	valid
63.0ms	134×	0	valid

Compiler

Compiled 575 to 52 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 31.0ms (28.7% of total)

ival-div: 24.0ms (22.2% of total)

ival-sqrt: 14.0ms (12.9% of total)

ival-asin: 11.0ms (10.2% of total)

ival-add: 9.0ms (8.3% of total)

adjust: 8.0ms (7.4% of total)

ival-pow2: 7.0ms (6.5% of total)

ival-sub: 3.0ms (2.8% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series75.0ms (0.6%)

Memory

29.5MiB live, 121.5MiB allocated

Counts

25 → 115

Calls

Call 1

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

Outputs
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(* 2 (sqrt (/ (pow t 3) (pow l 3))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2))
(+ 1 (+ (* -2 (/ (* (pow t 2) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow l 2)))) (* -1 (/ (pow Om 2) (pow Omc 2)))))
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* 4 (/ (* (pow t 2) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow l 4)))) (* 2 (/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (* (pow Omc 2) (pow l 2))))))))
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow l 6)))) (* -4 (/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (* (pow Omc 2) (pow l 4)))))) (* 2 (/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (* (pow Omc 2) (pow l 2))))))))
(/ (pow t 2) (pow l 2))
(sqrt (/ t l))
(* 2 (/ t (pow l 2)))
(/ t (pow l 2))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* 1/2 (/ (* (pow l 2) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow t 2))))
(/ (+ (* -1/4 (/ (* (pow l 4) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ (* (pow l 2) (+ (* -1 (pow Om 2)) (pow Omc 2))) (pow Omc 2)))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow t 4)))) (* 1/2 (/ (* (pow l 2) (+ (* -1 (pow Om 2)) (pow Omc 2))) (pow Omc 2)))) (* 1/4 (/ (* (pow l 4) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow t 2))))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow t 6)))) (* 1/2 (/ (* (pow l 2) (+ (* -1 (pow Om 2)) (pow Omc 2))) (pow Omc 2)))) (+ (* -1/8 (/ (* (pow l 6) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ (* (pow l 4) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow t 2)))))) (pow t 2))
(* -2 (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)))
(* (pow t 2) (+ (* -2 (/ (pow (sqrt -1) 2) (pow l 2))) (/ 1 (pow t 2))))
(* -2 (* (sqrt (/ (pow t 3) (pow l 3))) (pow (sqrt -1) 2)))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* -2 (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)))))))
(* -1 (* (/ (* l (sqrt -1/2)) (* t (sqrt -1))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (* (pow (sqrt -1) 3) (sqrt -1/2)))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (* l (sqrt -1/2)) (sqrt -1)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow (sqrt -1) 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 6))))) (* l (* (pow t 4) (sqrt -1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (* (pow (sqrt -1) 3) (sqrt -1/2)))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (* l (sqrt -1/2)) (sqrt -1)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow (sqrt -1) 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 6))))) (* l (* (pow t 4) (sqrt -1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 8))) (* 1/8 (/ (* (pow l 2) (+ (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow (sqrt -1) 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 6))))) (* (pow (sqrt -1) 2) (pow (sqrt -1/2) 2)))))) (* l (* (pow t 6) (sqrt -1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (* (pow (sqrt -1) 3) (sqrt -1/2)))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (* l (sqrt -1/2)) (sqrt -1)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(* -1 (* (sqrt (/ t l)) (pow (sqrt -1) 2)))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow t 4)))) (* 1/2 (/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (* (pow Omc 2) (pow t 2))))))
(* (pow l 2) (+ (* 1/2 (/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (* (pow Omc 2) (pow t 2)))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow t 6)))) (* 1/4 (/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (* (pow Omc 2) (pow t 4))))))))
(* (pow l 2) (+ (* 1/2 (/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (* (pow Omc 2) (pow t 2)))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow t 8)))) (* -1/8 (/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (* (pow Omc 2) (pow t 6)))))) (* 1/4 (/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (* (pow Omc 2) (pow t 4))))))))
(* l (sqrt 1/2))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(- (+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* 4 (/ (* (pow t 4) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow l 4)))))) (* 2 (/ (* (pow t 2) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow l 2)))))
(- (+ 1 (+ (* -8 (/ (* (pow t 6) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow l 6)))) (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -4 (/ (* (pow t 4) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow l 4)))) (* 2 (/ (* (pow t 2) (+ (* -1 (pow Om 2)) (pow Omc 2))) (* (pow Omc 2) (pow l 2))))))
(+ 1 (* -2 (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2))))
(* 2 (* (sqrt (/ (pow t 3) (pow l 3))) (pow (sqrt -1) 2)))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (* (pow (sqrt -1) 6) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1 (* (pow t 2) (* (pow (sqrt -1) 2) (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))
(* (sqrt (/ t l)) (pow (sqrt -1) 2))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ (pow Om 2) (pow Omc 2))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(/ (* l (sqrt 1/2)) t)
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t))
(pow Omc 2)
(+ (* -1 (pow Om 2)) (pow Omc 2))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (pow Om 2))
(* (pow Om 2) (- (/ (pow Omc 2) (pow Om 2)) 1))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
(* (pow Omc 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	t	@	-inf	((+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1) (* (* (/ t l) 2) (sqrt (/ t l))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (+ (* Omc Omc) (* (neg Om) Om)) (* (* Omc Omc) (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* t (/ t (* l l))) (+ 1 (* 2 (* t (/ t (* l l))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* t (/ t (* l l)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* t (/ t (* l l))))))) (sqrt (/ t l)) (pow (/ Om Omc) 2) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (+ (* Omc Omc) (* (neg Om) Om)) (/ t (* l l)))
11.0ms	Om	@	0	((+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1) (* (* (/ t l) 2) (sqrt (/ t l))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (+ (* Omc Omc) (* (neg Om) Om)) (* (* Omc Omc) (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* t (/ t (* l l))) (+ 1 (* 2 (* t (/ t (* l l))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* t (/ t (* l l)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* t (/ t (* l l))))))) (sqrt (/ t l)) (pow (/ Om Omc) 2) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (+ (* Omc Omc) (* (neg Om) Om)) (/ t (* l l)))
9.0ms	t	@	0	((+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1) (* (* (/ t l) 2) (sqrt (/ t l))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (+ (* Omc Omc) (* (neg Om) Om)) (* (* Omc Omc) (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* t (/ t (* l l))) (+ 1 (* 2 (* t (/ t (* l l))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* t (/ t (* l l)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* t (/ t (* l l))))))) (sqrt (/ t l)) (pow (/ Om Omc) 2) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (+ (* Omc Omc) (* (neg Om) Om)) (/ t (* l l)))
7.0ms	l	@	-inf	((+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1) (* (* (/ t l) 2) (sqrt (/ t l))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (+ (* Omc Omc) (* (neg Om) Om)) (* (* Omc Omc) (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* t (/ t (* l l))) (+ 1 (* 2 (* t (/ t (* l l))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* t (/ t (* l l)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* t (/ t (* l l))))))) (sqrt (/ t l)) (pow (/ Om Omc) 2) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (+ (* Omc Omc) (* (neg Om) Om)) (/ t (* l l)))
6.0ms	t	@	inf	((+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1) (* (* (/ t l) 2) (sqrt (/ t l))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (+ (* Omc Omc) (* (neg Om) Om)) (* (* Omc Omc) (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* t (/ t (* l l))) (+ 1 (* 2 (* t (/ t (* l l))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* t (/ t (* l l)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* t (/ t (* l l))))))) (sqrt (/ t l)) (pow (/ Om Omc) 2) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (+ (* Omc Omc) (* (neg Om) Om)) (/ t (* l l)))

simplify193.0ms (1.6%)

Memory

-42.4MiB live, 244.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	683	5716
1	2514	5066
0	9179	4865

Stop Event

1×	iter limit
1×	node limit

Counts

115 → 115

Calls

Call 1

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

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

rewrite348.0ms (3%)

Memory

74.9MiB live, 369.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	464
0	101	450
1	333	396
2	2452	381
0	8145	364

Stop Event

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

Counts

25 → 821

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc)) (neg.f64 (neg.f64 Omc)))
(/.f64 (fabs.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc)) Omc)
(/.f64 (fabs.f64 (*.f64 (neg.f64 Om) (/.f64 Om Omc))) Omc)
(/.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) Om))) Omc)
(/.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (.f64 Om Om))) (*.f64 Omc Omc))
(/.f64 (fabs.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om))) Omc)
(/.f64 (fabs.f64 (neg.f64 (*.f64 (/.f64 Om Omc) Om))) Omc)
(/.f64 (fabs.f64 (*.f64 (/.f64 Om Omc) Om)) Omc)
(/.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc) (neg.f64 Omc))
(/.f64 (*.f64 (neg.f64 Om) (/.f64 Om Omc)) (neg.f64 Omc))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) Om)) Omc)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 Om Om)) (*.f64 Omc Omc))
(/.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om)) (neg.f64 Omc))
(/.f64 (neg.f64 (*.f64 (/.f64 Om Omc) Om)) (neg.f64 Omc))
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)
(/.f64 (.f64 Om Om) (neg.f64 (neg.f64 (.f64 Omc Omc))))
(/.f64 (.f64 Om Om) (.f64 Omc Omc))
(/.f64 (.f64 (neg.f64 Om) Om) (.f64 (neg.f64 Omc) Omc))
(/.f64 (.f64 (neg.f64 Om) Om) (.f64 Omc (neg.f64 Omc)))
(/.f64 (.f64 (neg.f64 Om) Om) (neg.f64 (.f64 Omc Omc)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 Om) Omc)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(*.f64 l (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 l)) (/.f64 t (neg.f64 l)))
(*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 t l))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t)
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) l))
(.f64 t (/.f64 #s(literal 2 binary64) (.f64 l l)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (neg.f64 l))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) t)) (neg.f64 l))
(/.f64 (neg.f64 (.f64 t #s(literal -2 binary64))) (.f64 l l))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) t)) (.f64 l l))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) t))) (.f64 l l))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (neg.f64 l)) (neg.f64 l))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) t) l)
(/.f64 (.f64 t #s(literal -2 binary64)) (.f64 (neg.f64 l) l))
(/.f64 (.f64 #s(literal -2 binary64) t) (.f64 (neg.f64 l) l))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) t)) (.f64 (neg.f64 l) l))
(/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l)
(*.f64 (+.f64 (neg.f64 Omc) Om) (-.f64 (neg.f64 Omc) Om))
(*.f64 (+.f64 Omc Om) (-.f64 Omc Om))
(/.f64 (neg.f64 (-.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 (neg.f64 Om) Om) (.f64 Omc Omc))))
(/.f64 (neg.f64 (-.f64 (pow.f64 Omc #s(literal 6 binary64)) (pow.f64 Om #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 Omc #s(literal 4 binary64)) (+.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (*.f64 Omc Om) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 Omc #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 Omc Omc (*.f64 Om Om)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 Om #s(literal 6 binary64))) (pow.f64 Omc #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 Omc #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 Omc Om) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 Omc #s(literal 4 binary64)) (fma.f64 Omc Omc (.f64 Om Om))) (.f64 (fma.f64 Omc Omc (.f64 Om Om)) (pow.f64 Om #s(literal 4 binary64)))) (.f64 (fma.f64 Omc Omc (.f64 Om Om)) (fma.f64 Omc Omc (*.f64 Om Om))))
(/.f64 (fma.f64 (pow.f64 Omc #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 Omc #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (neg.f64 (pow.f64 (.f64 Omc Om) #s(literal 2 binary64)))) (.f64 (-.f64 (+.f64 (pow.f64 Omc #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (neg.f64 (pow.f64 (.f64 Omc Om) #s(literal 2 binary64)))) (neg.f64 (pow.f64 Om #s(literal 6 binary64))))) (.f64 (-.f64 (+.f64 (pow.f64 Omc #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (neg.f64 (pow.f64 (.f64 Omc Om) #s(literal 2 binary64)))) (-.f64 (+.f64 (pow.f64 Omc #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (neg.f64 (pow.f64 (.f64 Omc Om) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (-.f64 (.f64 (neg.f64 Om) Om) (.f64 Omc Omc)))
(/.f64 (-.f64 (pow.f64 Omc #s(literal 6 binary64)) (pow.f64 Om #s(literal 6 binary64))) (+.f64 (pow.f64 Omc #s(literal 4 binary64)) (+.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 (*.f64 Omc Om) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 Omc #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (neg.f64 (fma.f64 Omc Omc (*.f64 Om Om))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 Om #s(literal 6 binary64))) (pow.f64 Omc #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 Om #s(literal 4 binary64)) (-.f64 (pow.f64 Omc #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 Omc Om) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 Om #s(literal 6 binary64))) (pow.f64 Omc #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 Omc #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 Omc Om) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 Omc #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 Omc Omc (*.f64 Om Om)))
(/.f64 (+.f64 (neg.f64 (pow.f64 Om #s(literal 6 binary64))) (pow.f64 Omc #s(literal 6 binary64))) (+.f64 (pow.f64 Om #s(literal 4 binary64)) (-.f64 (pow.f64 Omc #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 Omc Om) #s(literal 2 binary64))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 Om #s(literal 6 binary64))) (pow.f64 Omc #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 Omc #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 Omc Om) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 Omc))) (neg.f64 (neg.f64 (neg.f64 Omc))) (*.f64 (neg.f64 Om) Om))
(fma.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (neg.f64 Omc))) Omc (.f64 (neg.f64 Om) Om))
(fma.f64 (exp.f64 (log.f64 Omc)) (exp.f64 (log.f64 Omc)) (*.f64 (neg.f64 Om) Om))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 Omc)) (neg.f64 Omc) (.f64 (neg.f64 Om) Om))
(fma.f64 (neg.f64 (neg.f64 Omc)) (neg.f64 (neg.f64 Omc)) (*.f64 (neg.f64 Om) Om))
(fma.f64 (neg.f64 Omc) (.f64 (neg.f64 Omc) #s(literal 1 binary64)) (.f64 (neg.f64 Om) Om))
(fma.f64 (neg.f64 Omc) (neg.f64 Omc) (*.f64 (neg.f64 Om) Om))
(fma.f64 (.f64 Omc Omc) #s(literal 1 binary64) (.f64 (neg.f64 Om) Om))
(fma.f64 (neg.f64 Om) Om (*.f64 Omc Omc))
(fma.f64 Omc (fabs.f64 (.f64 (neg.f64 Omc) #s(literal 1 binary64))) (.f64 (neg.f64 Om) Om))
(fma.f64 Omc Omc (*.f64 (neg.f64 Om) Om))
(fma.f64 Om (neg.f64 Om) (*.f64 Omc Omc))
(fma.f64 #s(literal 1 binary64) (.f64 Omc Omc) (.f64 (neg.f64 Om) Om))
(-.f64 (/.f64 (pow.f64 Omc #s(literal 4 binary64)) (fma.f64 Omc Omc (.f64 Om Om))) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (fma.f64 Omc Omc (.f64 Om Om))))
(-.f64 (.f64 Omc Omc) (.f64 Om Om))
(-.f64 (.f64 (neg.f64 Om) Om) (.f64 (neg.f64 (neg.f64 Omc)) (neg.f64 Omc)))
(-.f64 (.f64 (neg.f64 Om) Om) (.f64 (neg.f64 Omc) Omc))
(-.f64 (.f64 (neg.f64 Om) Om) (.f64 Omc (neg.f64 Omc)))
(+.f64 (/.f64 (pow.f64 Omc #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 Omc #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (neg.f64 (pow.f64 (.f64 Omc Om) #s(literal 2 binary64))))) (/.f64 (neg.f64 (pow.f64 Om #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 Omc #s(literal 4 binary64)) (pow.f64 Om #s(literal 4 binary64))) (neg.f64 (pow.f64 (.f64 Omc Om) #s(literal 2 binary64))))))
(+.f64 (.f64 Omc Omc) (.f64 (neg.f64 Om) Om))
(+.f64 (.f64 (neg.f64 Om) Om) (.f64 Omc Omc))
(/.f64 (neg.f64 (neg.f64 (neg.f64 t))) (*.f64 (neg.f64 l) l))
(/.f64 (neg.f64 (neg.f64 (/.f64 t l))) (neg.f64 (neg.f64 l)))
(/.f64 (/.f64 t (neg.f64 l)) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 t)) (*.f64 l l))
(/.f64 (neg.f64 (/.f64 t l)) (neg.f64 l))
(/.f64 (neg.f64 t) (*.f64 (neg.f64 l) l))
(/.f64 (/.f64 t l) (neg.f64 (neg.f64 l)))
(/.f64 (/.f64 t l) l)
(/.f64 t (*.f64 l l))
(neg.f64 (/.f64 t (*.f64 (neg.f64 l) l)))

eval169.0ms (1.4%)

Memory: -12.1MiB live, 318.8MiB allocated
Compiler: Compiled 34 022 to 4 201 computations (87.7% saved)

prune106.0ms (0.9%)

Memory

-4.0MiB live, 100.4MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	717	16	733
Fresh	2	3	5
Picked	4	1	5
Done	0	0	0
Total	723	20	743

Accuracy

99.0%

Counts

743 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
▶	80.2%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
▶	82.1%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l))))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
	79.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l))))))
	22.1%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1) (.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l))))))
▶	72.1%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
	36.1%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64)))))))
	32.7%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
	38.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (.f64 Omc Omc)))))
▶	32.5%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
	32.1%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(approx (+ (* Omc Omc) (* (neg Om) Om)) (.f64 Omc Omc)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
	67.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
✓	52.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
	49.4%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc)))))))
	57.4%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))))))
	19.5%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 (.f64 l l) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
	43.0%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
	48.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) t))))
	48.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))))
▶	48.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))

Compiler

Compiled 1 501 to 1 011 computations (32.6% saved)

simplify98.0ms (0.8%)

Memory

-5.0MiB live, 180.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))))
cost-diff	0	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
cost-diff	2	(/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l)
cost-diff	6	(fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
cost-diff	0	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
cost-diff	1	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
cost-diff	2	(/.f64 (.f64 Om Om) (.f64 Omc Omc))
cost-diff	0	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
cost-diff	0	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
cost-diff	2	(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))
cost-diff	4	(/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))
cost-diff	0	(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
cost-diff	0	#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
cost-diff	0	#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
cost-diff	0	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
cost-diff	0	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l))))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
cost-diff	2	(.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l)))))
cost-diff	6	(fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l))))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))
cost-diff	7	(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	769
0	119	747
1	234	649
2	746	629
3	4699	629
0	8270	606

Stop Event

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

Calls

Call 1

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

Outputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l))))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l))))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l))))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l))))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 t l)) #s(literal 3 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l))))
(sqrt.f64 (/.f64 t l))
(sqrt.f64 (sqrt.f64 (/.f64 t l)))
(sqrt.f64 (/.f64 t l))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
l
t
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (+.f64 Omc Om) (-.f64 Omc Om))
(*.f64 (-.f64 Omc Om) (+.f64 Omc Om))
(+.f64 Omc Om)
Omc
Om
(-.f64 Omc Om)
(.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) Omc Omc) Omc)
(*.f64 Omc Omc)
(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t)
(/.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
t
#s(literal 1 binary64)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (.f64 Om Om) (.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(*.f64 Om Om)
Om
(*.f64 Omc Omc)
Omc
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 t l)) #s(literal 3 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l)))
(.f64 (.f64 t #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l)))
(*.f64 #s(literal 2 binary64) t)
(*.f64 t #s(literal 2 binary64))
t
(sqrt.f64 (/.f64 t l))
(/.f64 t l)
l

localize245.0ms (2.1%)

Memory

39.0MiB live, 460.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5990198174485074	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
accuracy	3.5641247832421903	(/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l)
accuracy	10.704169355039824	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))))
accuracy	13.727274509275608	(sqrt.f64 (/.f64 t l))
accuracy	0.1875	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
accuracy	0.5990198174485074	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
accuracy	10.704169355039824	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
accuracy	15.520766252792852	(/.f64 (.f64 Om Om) (.f64 Omc Omc))
accuracy	3.065235038991623	(.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))
accuracy	7.8297366261437045	(.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t)
accuracy	10.704169355039824	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
accuracy	32.116147036338525	(/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))
accuracy	0.3042916071413827	#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
accuracy	0.44921875	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
accuracy	0.5990198174485074	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
accuracy	30.913685512876278	#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
accuracy	0.5234375	(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l))))
accuracy	0.5990198174485074	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l))))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
accuracy	10.704169355039824	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l))))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))))
accuracy	13.727274509275608	(sqrt.f64 (/.f64 t l))

Samples

106.0ms	122×	1	valid
81.0ms	134×	0	valid

Compiler

Compiled 656 to 61 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-sqrt: 45.0ms (31% of total)

ival-mult: 30.0ms (20.6% of total)

ival-div: 25.0ms (17.2% of total)

ival-asin: 14.0ms (9.6% of total)

adjust: 10.0ms (6.9% of total)

ival-pow2: 7.0ms (4.8% of total)

ival-add: 7.0ms (4.8% of total)

ival-sub: 6.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series74.0ms (0.6%)

Memory

-34.6MiB live, 119.2MiB allocated

Counts

26 → 106

Calls

Call 1

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

Outputs
(sqrt (/ t l))
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(* 2 (sqrt (/ (pow t 3) (pow l 3))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (* l (sqrt 1/2)) t)
(/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2))
(+ (* -2 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 2)))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2)))
(+ (* (pow t 2) (- (* 4 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 4)))) (* 2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow l 2)))))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2)))
(+ (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 6)))) (* -4 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow l 4)))))) (* 2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow l 2)))))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2)))
(* 2 (/ t (pow l 2)))
(pow Omc 2)
(+ (* 2 (/ (* (pow Omc 2) (pow t 2)) (pow l 2))) (pow Omc 2))
(/ (pow t 2) (pow l 2))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 2))))
(/ (+ (* -1/4 (/ (* (pow l 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (pow Omc 2)))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 4)))) (* 1/2 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (pow Omc 2)))) (* 1/4 (/ (* (pow l 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 2))))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 6)))) (* 1/2 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (pow Omc 2)))) (+ (* -1/8 (/ (* (pow l 6) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ (* (pow l 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 2)))))) (pow t 2))
(* 2 (/ (* (pow Omc 2) (pow t 2)) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ (pow Omc 2) (pow l 2))) (/ (pow Omc 2) (pow t 2))))
(* -1 (* (sqrt (/ t l)) (pow (sqrt -1) 2)))
(* -2 (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)))
(* (pow t 2) (+ (* -2 (/ (pow (sqrt -1) 2) (pow l 2))) (/ 1 (pow t 2))))
(* -2 (* (sqrt (/ (pow t 3) (pow l 3))) (pow (sqrt -1) 2)))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* -2 (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)))))))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(* -1 (* (/ (* l (sqrt -1/2)) (* t (sqrt -1))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (* (pow (sqrt -1) 3) (sqrt -1/2)))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (* l (sqrt -1/2)) (sqrt -1)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow (sqrt -1) 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 6))))) (* l (* (pow t 4) (sqrt -1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (* (pow (sqrt -1) 3) (sqrt -1/2)))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (* l (sqrt -1/2)) (sqrt -1)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow (sqrt -1) 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 6))))) (* l (* (pow t 4) (sqrt -1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 8))) (* 1/8 (/ (* (pow l 2) (+ (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow (sqrt -1) 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 6))))) (* (pow (sqrt -1) 2) (pow (sqrt -1/2) 2)))))) (* l (* (pow t 6) (sqrt -1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (* (pow (sqrt -1) 3) (sqrt -1/2)))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (* l (sqrt -1/2)) (sqrt -1)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 4)))) (* 1/2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 2))))))
(* (pow l 2) (+ (* 1/2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 2)))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 6)))) (* 1/4 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 4))))))))
(* (pow l 2) (+ (* 1/2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 2)))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 8)))) (* -1/8 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 6)))))) (* 1/4 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 4))))))))
(* l (sqrt 1/2))
(/ (+ (* 2 (* (pow Omc 2) (pow t 2))) (* (pow Omc 2) (pow l 2))) (pow l 2))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ (* 4 (/ (* (pow t 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 4)))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2))) (* 2 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 2)))))
(- (+ (* -8 (/ (* (pow t 6) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 6)))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2))) (+ (* -4 (/ (* (pow t 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 4)))) (* 2 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 2))))))
(* (sqrt (/ t l)) (pow (sqrt -1) 2))
(+ 1 (* -2 (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2))))
(* 2 (* (sqrt (/ (pow t 3) (pow l 3))) (pow (sqrt -1) 2)))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (* (pow (sqrt -1) 6) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1 (* (pow t 2) (* (pow (sqrt -1) 2) (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(/ (pow Om 2) (pow Omc 2))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* Omc (+ (* -1 (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2))
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* Omc (+ (* -1 (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) (pow Omc 2))
(* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
(+ (* -1 (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (+ (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(+ (* -1 (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (+ (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (* -1 (/ (+ (* -1 (+ (* -1 (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ (pow Om 2) (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) Omc)) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	l	@	inf	((* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l)))) (+ (* (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (sqrt (/ t l))) 1) (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (sqrt (/ t l))) 1)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (* (sqrt 1/2) l) t) (/ (* (+ Omc Om) (- Omc Om)) (* (* Omc Omc) (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* Om Om) (* Omc Omc)) (+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* (/ (* (* 2 t) (sqrt (/ t l))) l) (sqrt (/ t l))) 1) (/ (* (* 2 t) (sqrt (/ t l))) l) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* (* 2 t) (sqrt (/ t l))) l) (sqrt (/ t l))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* (* 2 t) (sqrt (/ t l))) l) (sqrt (/ t l))) 1))) (sqrt (/ t l)) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (sqrt (/ t l))) 1))) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (* (* Omc Omc) (+ (* (* (/ 2 (* l l)) t) t) 1)) (pow (/ t l) 2))
8.0ms	t	@	0	((* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l)))) (+ (* (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (sqrt (/ t l))) 1) (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (sqrt (/ t l))) 1)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (* (sqrt 1/2) l) t) (/ (* (+ Omc Om) (- Omc Om)) (* (* Omc Omc) (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* Om Om) (* Omc Omc)) (+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* (/ (* (* 2 t) (sqrt (/ t l))) l) (sqrt (/ t l))) 1) (/ (* (* 2 t) (sqrt (/ t l))) l) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* (* 2 t) (sqrt (/ t l))) l) (sqrt (/ t l))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* (* 2 t) (sqrt (/ t l))) l) (sqrt (/ t l))) 1))) (sqrt (/ t l)) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (sqrt (/ t l))) 1))) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (* (* Omc Omc) (+ (* (* (/ 2 (* l l)) t) t) 1)) (pow (/ t l) 2))
6.0ms	Omc	@	inf	((* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l)))) (+ (* (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (sqrt (/ t l))) 1) (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (sqrt (/ t l))) 1)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (* (sqrt 1/2) l) t) (/ (* (+ Omc Om) (- Omc Om)) (* (* Omc Omc) (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* Om Om) (* Omc Omc)) (+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* (/ (* (* 2 t) (sqrt (/ t l))) l) (sqrt (/ t l))) 1) (/ (* (* 2 t) (sqrt (/ t l))) l) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* (* 2 t) (sqrt (/ t l))) l) (sqrt (/ t l))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* (* 2 t) (sqrt (/ t l))) l) (sqrt (/ t l))) 1))) (sqrt (/ t l)) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (sqrt (/ t l))) 1))) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (* (* Omc Omc) (+ (* (* (/ 2 (* l l)) t) t) 1)) (pow (/ t l) 2))
6.0ms	t	@	-inf	((* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l)))) (+ (* (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (sqrt (/ t l))) 1) (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (sqrt (/ t l))) 1)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (* (sqrt 1/2) l) t) (/ (* (+ Omc Om) (- Omc Om)) (* (* Omc Omc) (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* Om Om) (* Omc Omc)) (+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* (/ (* (* 2 t) (sqrt (/ t l))) l) (sqrt (/ t l))) 1) (/ (* (* 2 t) (sqrt (/ t l))) l) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* (* 2 t) (sqrt (/ t l))) l) (sqrt (/ t l))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* (* 2 t) (sqrt (/ t l))) l) (sqrt (/ t l))) 1))) (sqrt (/ t l)) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (sqrt (/ t l))) 1))) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (* (* Omc Omc) (+ (* (* (/ 2 (* l l)) t) t) 1)) (pow (/ t l) 2))
6.0ms	l	@	-inf	((* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l)))) (+ (* (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (sqrt (/ t l))) 1) (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (sqrt (/ t l))) 1)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (* (sqrt 1/2) l) t) (/ (* (+ Omc Om) (- Omc Om)) (* (* Omc Omc) (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* Om Om) (* Omc Omc)) (+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* (/ (* (* 2 t) (sqrt (/ t l))) l) (sqrt (/ t l))) 1) (/ (* (* 2 t) (sqrt (/ t l))) l) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* (* 2 t) (sqrt (/ t l))) l) (sqrt (/ t l))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* (* 2 t) (sqrt (/ t l))) l) (sqrt (/ t l))) 1))) (sqrt (/ t l)) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (* (sqrt (sqrt (/ t l))) (sqrt (sqrt (/ t l))))) (sqrt (/ t l))) 1))) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (* (* Omc Omc) (+ (* (* (/ 2 (* l l)) t) t) 1)) (pow (/ t l) 2))

simplify186.0ms (1.6%)

Memory

34.5MiB live, 257.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	629	5384
1	2325	4697
0	9236	4503

Stop Event

1×	iter limit
1×	node limit

Counts

106 → 106

Calls

Call 1

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

Outputs
(sqrt (/ t l))
(sqrt.f64 (/.f64 t l))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))
(* 2 (sqrt (/ (pow t 3) (pow l 3))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 t l) #s(literal 3 binary64))) #s(literal 2 binary64))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(.f64 (fma.f64 #s(literal -1 binary64) (.f64 (/.f64 t l) (/.f64 t l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (-.f64 (.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (.f64 Omc Omc))) (/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (.f64 (neg.f64 l) l))) (.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (.f64 t t)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 8 binary64) (/.f64 (-.f64 (.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (.f64 Omc Omc))) (/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64)))) (.f64 (neg.f64 l) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (-.f64 (.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (.f64 Omc Omc))) (/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))))))) (.f64 t t) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (.f64 (neg.f64 l) l))) (.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(/ (* l (sqrt 1/2)) t)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2))
(*.f64 (/.f64 (+.f64 Omc Om) Omc) (/.f64 (-.f64 Omc Om) Omc))
(+ (* -2 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 2)))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2)))
(fma.f64 (.f64 #s(literal -2 binary64) (.f64 t t)) (/.f64 (.f64 (/.f64 (+.f64 Omc Om) Omc) (/.f64 (-.f64 Omc Om) Omc)) (.f64 l l)) (*.f64 (/.f64 (+.f64 Omc Om) Omc) (/.f64 (-.f64 Omc Om) Omc)))
(+ (* (pow t 2) (- (* 4 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 4)))) (* 2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow l 2)))))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2)))
(fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 t Omc) (/.f64 t Omc))) (/.f64 (.f64 (-.f64 Omc Om) (+.f64 Omc Om)) (pow.f64 l #s(literal 4 binary64))) (.f64 (.f64 #s(literal -2 binary64) (+.f64 Omc Om)) (/.f64 (-.f64 Omc Om) (.f64 (.f64 (.f64 l l) Omc) Omc)))) (.f64 t t) (.f64 (/.f64 (+.f64 Omc Om) Omc) (/.f64 (-.f64 Omc Om) Omc)))
(+ (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 6)))) (* -4 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow l 4)))))) (* 2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow l 2)))))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -8 binary64) (.f64 (/.f64 t Omc) (/.f64 t Omc))) (/.f64 (.f64 (-.f64 Omc Om) (+.f64 Omc Om)) (pow.f64 l #s(literal 6 binary64))) (.f64 (.f64 #s(literal 4 binary64) (+.f64 Omc Om)) (/.f64 (-.f64 Omc Om) (.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) Omc) Omc)))) (.f64 t t) (.f64 (.f64 #s(literal -2 binary64) (+.f64 Omc Om)) (/.f64 (-.f64 Omc Om) (.f64 (.f64 (.f64 l l) Omc) Omc)))) (.f64 t t) (*.f64 (/.f64 (+.f64 Omc Om) Omc) (/.f64 (-.f64 Omc Om) Omc)))
(* 2 (/ t (pow l 2)))
(.f64 (/.f64 t (.f64 l l)) #s(literal 2 binary64))
(pow Omc 2)
(*.f64 Omc Omc)
(+ (* 2 (/ (* (pow Omc 2) (pow t 2)) (pow l 2))) (pow Omc 2))
(.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))
(/ (pow t 2) (pow l 2))
(*.f64 (/.f64 t l) (/.f64 t l))
(* 2 (/ (pow t 2) (pow l 2)))
(.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) l (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
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(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
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(.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (.f64 (.f64 (.f64 l l) t) (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64))) (.f64 l l) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 l l) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (fma.f64 t (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 l l) (/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/8 binary64))) (.f64 t t)) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 8 binary64))) #s(literal 1/16 binary64))) t) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64))) (.f64 l l) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 4)))) (* 1/2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t t)) (.f64 (/.f64 (+.f64 Omc Om) Omc) (/.f64 (-.f64 Omc Om) Omc)) (.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 t #s(literal 4 binary64))) (.f64 (.f64 l l) (.f64 (/.f64 (+.f64 Omc Om) Omc) (/.f64 (-.f64 Omc Om) Omc))))) (.f64 l l))
(* (pow l 2) (+ (* 1/2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 2)))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 6)))) (* 1/4 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 4))))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 Omc Om) (.f64 Omc Omc))) (/.f64 (-.f64 Omc Om) (.f64 t t)) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 l Omc) (/.f64 l Omc))) (/.f64 (.f64 (-.f64 Omc Om) (+.f64 Omc Om)) (pow.f64 t #s(literal 6 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) (+.f64 Omc Om)) (/.f64 (-.f64 Omc Om) (.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) Omc) Omc)))) (.f64 l l))) (.f64 l l))
(* (pow l 2) (+ (* 1/2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 2)))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 8)))) (* -1/8 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 6)))))) (* 1/4 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 4))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 l Omc) (/.f64 l Omc))) (/.f64 (.f64 (-.f64 Omc Om) (+.f64 Omc Om)) (pow.f64 t #s(literal 8 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (+.f64 Omc Om)) (/.f64 (-.f64 Omc Om) (.f64 (.f64 (pow.f64 t #s(literal 6 binary64)) Omc) Omc)))) (.f64 l l) (.f64 (.f64 #s(literal -1/4 binary64) (+.f64 Omc Om)) (/.f64 (-.f64 Omc Om) (.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) Omc) Omc)))) (.f64 l l) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 t t)) (.f64 (/.f64 (+.f64 Omc Om) Omc) (/.f64 (-.f64 Omc Om) Omc)))) (.f64 l l))
(* l (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(/ (+ (* 2 (* (pow Omc 2) (pow t 2))) (* (pow Omc 2) (pow l 2))) (pow l 2))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 Omc Omc)) t) t (.f64 (.f64 (.f64 l l) Omc) Omc)) (*.f64 l l))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(fma.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (pow.f64 l #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (/.f64 t l) (/.f64 t l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (+.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (pow.f64 l #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (.f64 #s(literal -3 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (.f64 (pow.f64 t #s(literal 4 binary64)) (.f64 t t))))) (pow.f64 l #s(literal 6 binary64))))) (.f64 (fma.f64 #s(literal -1 binary64) (.f64 (/.f64 t l) (/.f64 t l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(- (+ (* 4 (/ (* (pow t 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 4)))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2))) (* 2 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 2)))))
(fma.f64 (.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (.f64 (/.f64 (+.f64 Omc Om) Omc) (/.f64 (-.f64 Omc Om) Omc)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 t t)) (/.f64 (.f64 (/.f64 (+.f64 Omc Om) Omc) (/.f64 (-.f64 Omc Om) Omc)) (.f64 l l)) (*.f64 (/.f64 (+.f64 Omc Om) Omc) (/.f64 (-.f64 Omc Om) Omc))))
(- (+ (* -8 (/ (* (pow t 6) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 6)))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2))) (+ (* -4 (/ (* (pow t 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 4)))) (* 2 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 2))))))
(fma.f64 (/.f64 #s(literal -8 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 t #s(literal 6 binary64)) (.f64 (-.f64 Omc Om) (+.f64 Omc Om))) (.f64 Omc Omc)) (fma.f64 (.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (.f64 (/.f64 (+.f64 Omc Om) Omc) (/.f64 (-.f64 Omc Om) Omc)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 t t)) (/.f64 (.f64 (/.f64 (+.f64 Omc Om) Omc) (/.f64 (-.f64 Omc Om) Omc)) (.f64 l l)) (.f64 (/.f64 (+.f64 Omc Om) Omc) (/.f64 (-.f64 Omc Om) Omc)))))
(* (sqrt (/ t l)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 t l)))
(+ 1 (* -2 (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2))))
(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))
(* 2 (* (sqrt (/ (pow t 3) (pow l 3))) (pow (sqrt -1) 2)))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 (/.f64 t l) #s(literal 3 binary64))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(.f64 (fma.f64 (.f64 t t) (/.f64 #s(literal -1 binary64) (.f64 l l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(fma.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (pow.f64 l #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 t t) (/.f64 #s(literal -1 binary64) (.f64 l l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (* (pow (sqrt -1) 6) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1 (* (pow t 2) (* (pow (sqrt -1) 2) (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 (neg.f64 t) t) (.f64 #s(literal 3 binary64) (.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (.f64 (.f64 (.f64 #s(literal -8 binary64) (pow.f64 t #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (pow.f64 l #s(literal 6 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (pow.f64 l #s(literal 4 binary64))))) (.f64 (fma.f64 (.f64 t t) (/.f64 #s(literal -1 binary64) (.f64 l l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 Omc Omc))))) (.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 Om Om) (pow.f64 Omc #s(literal 6 binary64))) (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 Omc #s(literal 4 binary64)))))) (.f64 Om Om) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (.f64 Omc Omc)) #s(literal -1/2 binary64))) (.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t))
(fma.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 l (.f64 Omc Omc))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (.f64 (/.f64 (.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) #s(literal -1/8 binary64)))) (.f64 Om Om) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 l (.f64 Omc Omc))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 Omc #s(literal 4 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (.f64 (/.f64 (.f64 Om Om) (pow.f64 Omc #s(literal 6 binary64))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) #s(literal -1/16 binary64)))) (.f64 Om Om))) (.f64 Om Om) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 Omc Omc)) (/.f64 (.f64 Om Om) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))
(/ (pow Om 2) (pow Omc 2))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))) Om)
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om)
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om)
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))
(/.f64 (.f64 (.f64 Om (.f64 l (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 Omc t))
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))
(.f64 (fma.f64 (/.f64 (.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) Omc) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t))) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) t))) (fma.f64 (/.f64 (.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) Omc) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t)))) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (.f64 (.f64 (pow.f64 Om #s(literal 6 binary64)) t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) t))) (fma.f64 (/.f64 (.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) Omc) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t))))) Om)
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(/.f64 (.f64 (neg.f64 Om) Om) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 Omc Omc)) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (.f64 Om Om))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(.f64 (.f64 (neg.f64 Om) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(.f64 (neg.f64 Om) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(.f64 (neg.f64 Om) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))))
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)))
(.f64 (neg.f64 Om) (.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(.f64 (neg.f64 Om) (fma.f64 (/.f64 (.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) Omc) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(.f64 (neg.f64 Om) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) t))) (fma.f64 (/.f64 (.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) Omc) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))))
(.f64 (neg.f64 Om) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (.f64 (.f64 (pow.f64 Om #s(literal 6 binary64)) t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) t))) (fma.f64 (/.f64 (.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) Omc) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) Om (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Omc Om) (/.f64 Omc (sqrt.f64 #s(literal -1 binary64))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 Omc Omc) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)))))) (.f64 Omc Omc))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 Omc (pow.f64 Om #s(literal 5 binary64))) (/.f64 Omc (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)))))) (.f64 Omc Omc) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) #s(literal 1/2 binary64))) (.f64 Omc Omc) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))))) Omc)
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 Omc Omc) Om)) (.f64 (/.f64 l (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (/.f64 (.f64 (.f64 Om (.f64 l (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 Omc Omc)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)) t)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) t)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Om))) (.f64 Omc Omc) (/.f64 (.f64 (.f64 Om (.f64 l (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)) t)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) Omc)) (.f64 (.f64 (pow.f64 Om #s(literal 5 binary64)) t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 Omc Omc) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) t)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Om))) (.f64 Omc Omc) (/.f64 (.f64 (.f64 Om (*.f64 l (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) t)) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* Omc (+ (* -1 (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2))
(/.f64 (fma.f64 #s(literal 0 binary64) Omc (/.f64 (.f64 (neg.f64 Om) Om) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (.f64 Omc Omc))
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* Omc (+ (* -1 (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) (pow Omc 2))
(/.f64 (fma.f64 (+.f64 (/.f64 Omc (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))) #s(literal 0 binary64)) Omc (/.f64 (.f64 (neg.f64 Om) Om) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (.f64 Omc Omc))
(* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64)))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(fma.f64 (.f64 (.f64 Om Om) #s(literal -1/2 binary64)) (.f64 (/.f64 l (.f64 Omc Omc)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (.f64 (/.f64 l (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
(fma.f64 (.f64 (.f64 Om Om) #s(literal -1/2 binary64)) (.f64 (/.f64 l (.f64 Omc Omc)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (.f64 (/.f64 l (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (fma.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(+ (* -1 (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (+ (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(fma.f64 (/.f64 #s(literal -1 binary64) Omc) (/.f64 Om (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 Om Omc) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))
(+ (* -1 (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (+ (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 Om Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))) (/.f64 (.f64 Om Om) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))) (/.f64 (+.f64 (/.f64 Om Omc) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))
(+ (* -1 (/ (+ (* -1 (+ (* -1 (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ (pow Om 2) (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) Omc)) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))) #s(literal 0 binary64)) Omc) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))

rewrite167.0ms (1.4%)

Memory

2.7MiB live, 219.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	516
0	119	465
1	381	402
2	2598	384
0	8533	371

Stop Event

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

Counts

26 → 624

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 (pow.f64 (/.f64 t l) #s(literal 3/4 binary64))) (pow.f64 (/.f64 t l) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 t l) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 t l) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (/.f64 t l) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (/.f64 t l) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))
(pow.f64 (/.f64 t l) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (neg.f64 (sqrt.f64 t))) (fabs.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (fabs.f64 (sqrt.f64 (neg.f64 t))) (fabs.f64 (sqrt.f64 (neg.f64 l))))
(/.f64 (fabs.f64 (sqrt.f64 t)) (fabs.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 t (/.f64 t l)))) (pow.f64 l #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 t l) t))) (pow.f64 l #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 t))) (sqrt.f64 (neg.f64 (neg.f64 l))))
(/.f64 (neg.f64 (sqrt.f64 t)) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 (neg.f64 t)) (sqrt.f64 (neg.f64 l)))
(/.f64 (sqrt.f64 t) (sqrt.f64 l))
(neg.f64 (sqrt.f64 (/.f64 t l)))
(sqrt.f64 (/.f64 t l))
(fabs.f64 (sqrt.f64 (/.f64 t l)))
(exp.f64 (/.f64 (log.f64 (/.f64 t l)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 t l))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 t l))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 t l)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 t l)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64)))) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (neg.f64 (/.f64 t l))) (neg.f64 (neg.f64 (/.f64 t l))) (+.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)))) (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (.f64 (sqrt.f64 (/.f64 t l)) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 5/4 binary64))))) (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64))) (fabs.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 t l)))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 5/4 binary64)))) (pow.f64 (/.f64 t l) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l)))) (fabs.f64 (/.f64 (sqrt.f64 t) (pow.f64 l #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (.f64 #s(literal 2 binary64) t)) (fabs.f64 (.f64 (/.f64 (sqrt.f64 t) (pow.f64 l #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 t l)))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (fabs.f64 (.f64 (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (.f64 #s(literal 2 binary64) (/.f64 t l))) (fabs.f64 (.f64 (/.f64 t l) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l))) (/.f64 t l) #s(literal 1 binary64))
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(/.f64 (.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 Omc Omc)) (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t))))
(/.f64 (.f64 (.f64 Omc Omc) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 Omc Omc) (fma.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64))) (*.f64 Omc Omc)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 Omc #s(literal 4 binary64)) (.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64))) (*.f64 Omc Omc)))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 Omc))) (neg.f64 (neg.f64 (neg.f64 Omc))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (*.f64 t Omc) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (neg.f64 Omc))) Omc (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64))))
(fma.f64 (exp.f64 (log.f64 Omc)) (exp.f64 (log.f64 Omc)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (*.f64 t Omc) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 Omc)) (neg.f64 Omc) (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t) (neg.f64 Omc)) (neg.f64 Omc) (*.f64 Omc Omc))
(fma.f64 (.f64 (.f64 Omc Omc) (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t)) t (*.f64 Omc Omc))
(fma.f64 (.f64 (.f64 Omc Omc) (/.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 t t) (*.f64 Omc Omc))
(fma.f64 (.f64 (.f64 Omc Omc) t) (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) (*.f64 Omc Omc))
(fma.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t) Omc) Omc (*.f64 Omc Omc))
(fma.f64 (neg.f64 (neg.f64 Omc)) (neg.f64 (neg.f64 Omc)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (*.f64 t Omc) #s(literal 2 binary64))))
(fma.f64 (neg.f64 Omc) (.f64 (neg.f64 Omc) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64))))
(fma.f64 (neg.f64 Omc) (.f64 (neg.f64 Omc) (.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t)) (*.f64 Omc Omc))
(fma.f64 (neg.f64 Omc) (neg.f64 Omc) (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (*.f64 t Omc) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t) (.f64 Omc Omc) (*.f64 Omc Omc))
(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) (.f64 t (.f64 Omc Omc)) (*.f64 Omc Omc))
(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64)) (*.f64 Omc Omc))
(fma.f64 (.f64 Omc Omc) (.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t) (*.f64 Omc Omc))
(fma.f64 (.f64 Omc Omc) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64))))
(fma.f64 Omc (fabs.f64 (.f64 (neg.f64 Omc) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64))))
(fma.f64 Omc (.f64 Omc (.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t)) (*.f64 Omc Omc))
(fma.f64 Omc Omc (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (*.f64 t Omc) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 Omc Omc) (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64))))
(fma.f64 t (.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) (.f64 Omc Omc)) (*.f64 Omc Omc))
(-.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (*.f64 Omc Omc)))
(-.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64))) (.f64 (*.f64 (neg.f64 Omc) Omc) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64))) (.f64 Omc Omc))
(+.f64 (.f64 Omc Omc) (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (pow.f64 (.f64 t Omc) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (/.f64 t l))) (neg.f64 (neg.f64 (/.f64 t l))))
(*.f64 (pow.f64 (neg.f64 (/.f64 t l)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (/.f64 t l)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 t) l) (/.f64 (neg.f64 t) l))
(*.f64 (/.f64 t (neg.f64 l)) (/.f64 t (neg.f64 l)))
(*.f64 (neg.f64 (/.f64 t l)) (neg.f64 (/.f64 t l)))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) (sqrt.f64 (/.f64 t l)))
(*.f64 (sqrt.f64 (/.f64 t l)) (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)))
(*.f64 (/.f64 t l) (/.f64 t l))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 t l)))
(pow.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (/.f64 t l)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (sqrt.f64 (/.f64 t l)) #s(literal 4 binary64))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 t) (/.f64 t l)) (neg.f64 l))
(/.f64 (*.f64 t (/.f64 t l)) l)
(/.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (neg.f64 l))
(/.f64 (*.f64 (/.f64 t l) t) l)
(/.f64 (.f64 (neg.f64 t) t) (.f64 (neg.f64 l) l))
(/.f64 (.f64 t (neg.f64 t)) (.f64 (neg.f64 l) l))
(/.f64 (.f64 t t) (.f64 l l))
(sqrt.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)))
(fabs.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 t l)) (log.f64 (/.f64 t l))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))

eval485.0ms (4.1%)

Memory: -61.4MiB live, 220.4MiB allocated
Compiler: Compiled 20 886 to 2 952 computations (85.9% saved)

prune35.0ms (0.3%)

Memory

-24.1MiB live, 78.2MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	454	9	463
Fresh	8	6	14
Picked	4	1	5
Done	0	1	1
Total	466	17	483

Accuracy

99.0%

Counts

483 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
▶	12.4%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
▶	82.1%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
	72.0%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (/.f64 t l)) #s(literal 4 binary64)))))))
	69.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l))))))
▶	72.1%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))))
	32.9%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (-.f64 Omc Om) (+.f64 Omc Om)) (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) Omc) Omc)))))
▶	32.7%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
	32.1%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(approx (+ (* Omc Omc) (* (neg Om) Om)) (.f64 Omc Omc)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
	67.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
✓	52.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
	49.4%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc)))))))
	19.5%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 (.f64 l l) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
	48.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) t))))
✓	48.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
	48.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
▶	48.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))

Compiler

Compiled 1 201 to 819 computations (31.8% saved)

simplify135.0ms (1.2%)

Memory

28.2MiB live, 114.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))))
cost-diff	1	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l))))
cost-diff	2	(*.f64 (/.f64 t l) (/.f64 t l))
cost-diff	2	(/.f64 (.f64 Om Om) (.f64 Omc Omc))
cost-diff	0	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))))
cost-diff	0	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
cost-diff	2	(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l)) t #s(literal 1 binary64))
cost-diff	4	(/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))
cost-diff	0	(acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
cost-diff	0	(PI.f64)
cost-diff	0	(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff	0	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
cost-diff	0	(*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
cost-diff	0	#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
cost-diff	0	#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
cost-diff	0	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
cost-diff	0	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
cost-diff	7	(fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	796
0	118	766
1	230	738
2	707	714
3	4258	714
0	8083	692

Stop Event

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

Calls

Call 1

Inputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 t l) #s(literal 1/4 binary64))
(/.f64 t l)
t
l
#s(literal 1/4 binary64)
(.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 t l) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
(*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
l
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
t
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
l
t
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))
(/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))
(*.f64 (+.f64 Omc Om) (-.f64 Omc Om))
(+.f64 Omc Om)
Omc
Om
(-.f64 Omc Om)
(.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l)) t #s(literal 1 binary64)))
(*.f64 Omc Omc)
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l)) t #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l))
(*.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t
(*.f64 l l)
l
#s(literal 1 binary64)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc)))
#s(literal 1 binary64)
(/.f64 (.f64 Om Om) (.f64 Omc Omc))
(*.f64 Om Om)
Om
(*.f64 Omc Omc)
Omc
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l))))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))
#s(literal 2 binary64)
(*.f64 (/.f64 t l) (/.f64 t l))
(/.f64 t l)
t
l

Outputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 t l)) (pow.f64 (/.f64 t l) #s(literal 3/2 binary64))) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 t l)) (pow.f64 (/.f64 t l) #s(literal 3/2 binary64))) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 t l)) (pow.f64 (/.f64 t l) #s(literal 3/2 binary64))) #s(literal 2 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 t l)) (pow.f64 (/.f64 t l) #s(literal 3/2 binary64))) #s(literal 2 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 t l) #s(literal 1/4 binary64))
(/.f64 t l)
t
l
#s(literal 1/4 binary64)
(.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 t l) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))
(*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)
l
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
t
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
l
t
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (+.f64 Omc Om) (-.f64 Omc Om))
(*.f64 (-.f64 Omc Om) (+.f64 Omc Om))
(+.f64 Omc Om)
Omc
Om
(-.f64 Omc Om)
(.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l)) t #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) Omc Omc) Omc)
(*.f64 Omc Omc)
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l)) t #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) l) l) t)
(*.f64 #s(literal 2 binary64) t)
(*.f64 t #s(literal 2 binary64))
#s(literal 2 binary64)
t
(*.f64 l l)
l
#s(literal 1 binary64)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (.f64 Om Om) (.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(*.f64 Om Om)
Om
(*.f64 Omc Omc)
Omc
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l))))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 t l) (/.f64 t l))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l

localize363.0ms (3.1%)

Memory

17.9MiB live, 540.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1875	(*.f64 (/.f64 t l) (/.f64 t l))
accuracy	0.5990198174485074	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))))
accuracy	10.704169355039824	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l))))))
accuracy	15.520766252792852	(/.f64 (.f64 Om Om) (.f64 Omc Omc))
accuracy	3.065235038991623	(.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l)) t #s(literal 1 binary64)))
accuracy	8.494052064471607	(/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l))
accuracy	10.704169355039824	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))))
accuracy	32.116147036338525	(/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))
accuracy	0.44921875	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
accuracy	23.520793909038684	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
accuracy	28.212270031885037	(acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
accuracy	30.913685512876278	#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
accuracy	0.3042916071413827	#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
accuracy	0.43359375	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
accuracy	0.5990198174485074	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
accuracy	30.913685512876278	#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
accuracy	0.22103500976844204	(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy	0.5990198174485074	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
accuracy	10.704169355039824	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
accuracy	13.86219976551172	(pow.f64 (/.f64 t l) #s(literal 1/4 binary64))

Samples

161.0ms	162×	1	valid
140.0ms	88×	2	valid
7.0ms	6×	0	valid

Compiler

Compiled 597 to 63 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 249.0ms

ival-mult: 51.0ms (20.5% of total)

ival-div: 49.0ms (19.7% of total)

adjust: 32.0ms (12.9% of total)

ival-pow: 31.0ms (12.5% of total)

ival-asin: 17.0ms (6.8% of total)

ival-sqrt: 17.0ms (6.8% of total)

ival-pow2: 16.0ms (6.4% of total)

ival-sub: 12.0ms (4.8% of total)

ival-acos: 11.0ms (4.4% of total)

ival-add: 10.0ms (4% of total)

ival-pi: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series241.0ms (2.1%)

Memory

0.1MiB live, 282.3MiB allocated

Counts

28 → 129

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
(*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l)) t #s(literal 1 binary64))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))))
(/.f64 (.f64 Om Om) (.f64 Omc Omc))
(*.f64 (/.f64 t l) (/.f64 t l))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))))
(pow.f64 (/.f64 t l) #s(literal 1/4 binary64))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l))
(.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l)) t #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l))))))

Outputs
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (* l (sqrt 1/2)) t)
(- (* 1/2 (PI)) (acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2))
(+ (* -2 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 2)))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2)))
(+ (* (pow t 2) (- (* 4 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 4)))) (* 2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow l 2)))))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2)))
(+ (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 6)))) (* -4 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow l 4)))))) (* 2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow l 2)))))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2)))
(/ (pow t 2) (pow l 2))
(exp (* 1/4 (+ (log t) (log (/ 1 l)))))
(/ (sqrt 1/2) t)
(* 2 (/ t (pow l 2)))
(pow Omc 2)
(+ (* 2 (/ (* (pow Omc 2) (pow t 2)) (pow l 2))) (pow Omc 2))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* 1/2 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 2))))
(/ (+ (* -1/4 (/ (* (pow l 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (pow Omc 2)))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 4)))) (* 1/2 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (pow Omc 2)))) (* 1/4 (/ (* (pow l 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 2))))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 6)))) (* 1/2 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (pow Omc 2)))) (+ (* -1/8 (/ (* (pow l 6) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ (* (pow l 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 2)))))) (pow t 2))
(exp (* 1/4 (+ (log (/ 1 l)) (* -1 (log (/ 1 t))))))
(* 2 (/ (* (pow Omc 2) (pow t 2)) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ (pow Omc 2) (pow l 2))) (/ (pow Omc 2) (pow t 2))))
(* 2 (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ (pow (sqrt -1) 2) (pow l 2))) (/ 1 (pow t 2))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)))))))
(* -1 (* (/ (* l (sqrt 1/2)) (* t (sqrt -1))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (* (pow (sqrt -1) 3) (sqrt 1/2)))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (* l (sqrt 1/2)) (sqrt -1)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 6))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow (sqrt -1) 6) (pow (sqrt 1/2) 2)))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (* (pow (sqrt -1) 3) (sqrt 1/2)))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (* l (sqrt 1/2)) (sqrt -1)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 6))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow (sqrt -1) 6) (pow (sqrt 1/2) 2)))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 8))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 6))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow (sqrt -1) 6) (pow (sqrt 1/2) 2)))))) (* (pow (sqrt -1) 2) (pow (sqrt 1/2) 2)))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (* (pow (sqrt -1) 3) (sqrt 1/2)))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (* l (sqrt 1/2)) (sqrt -1)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (pow (sqrt -1) 2))))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (pow (sqrt -1) 4)))) (* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 2)))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 4) (pow (sqrt -1) 6)))) (* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 2)))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (pow (sqrt -1) 4))))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt -1) 8)))) (* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 2)))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 4) (pow (sqrt -1) 6)))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (pow (sqrt -1) 4)))))) (pow t 2))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(exp (* 1/4 (+ (log (/ -1 l)) (* -1 (log (/ -1 t))))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 4)))) (* 1/2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 2))))))
(* (pow l 2) (+ (* 1/2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 2)))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 6)))) (* 1/4 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 4))))))))
(* (pow l 2) (+ (* 1/2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 2)))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 8)))) (* -1/8 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 6)))))) (* 1/4 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 4))))))))
(exp (* 1/4 (+ (log t) (* -1 (log l)))))
(* l (sqrt 1/2))
(/ (+ (* 2 (* (pow Omc 2) (pow t 2))) (* (pow Omc 2) (pow l 2))) (pow l 2))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(- (+ (* 4 (/ (* (pow t 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 4)))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2))) (* 2 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 2)))))
(- (+ (* -8 (/ (* (pow t 6) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 6)))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2))) (+ (* -4 (/ (* (pow t 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 4)))) (* 2 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 2))))))
(+ 1 (* 2 (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (* (pow (sqrt -1) 6) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (* (pow (sqrt -1) 2) (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* -2 (/ (* (pow t 2) (* (pow (sqrt -1) 2) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* 4 (/ (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (* (pow (sqrt -1) 2) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (* (pow (sqrt -1) 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (* (pow (sqrt -1) 2) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(exp (* 1/4 (+ (log (* -1 t)) (log (/ -1 l)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t))
(/ (pow Om 2) (pow Omc 2))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* Omc (+ (* -1 (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2))
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* Omc (+ (* -1 (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) (pow Omc 2))
(* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
(+ (* -1 (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (+ (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(+ (* -1 (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (+ (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (* -1 (/ (+ (* -1 (+ (* -1 (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ (pow Om 2) (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) Omc)) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))

Calls

12 calls:

Time	Variable		Point	Expression
65.0ms	l	@	inf	((+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (* l (/ (sqrt 1/2) t)) (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))))) (/ (PI) 2) (PI) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (/ (* (+ Omc Om) (- Omc Om)) (* (* Omc Omc) (+ (* (/ (* 2 t) (* l l)) t) 1))) (+ (* (/ (* 2 t) (* l l)) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* Om Om) (* Omc Omc)) (* (/ t l) (/ t l)) (+ 1 (* 2 (* (/ t l) (/ t l)))) (asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (* (/ t l) (/ t l))))))) (pow (/ t l) 1/4) (pow (/ Om Omc) 2) (/ (sqrt 1/2) t) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (sqrt 1/2) l) (/ (* 2 t) (* l l)) (* (* Omc Omc) (+ (* (/ (* 2 t) (* l l)) t) 1)) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (* (/ t l) (/ t l)))))))
48.0ms	t	@	0	((+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (* l (/ (sqrt 1/2) t)) (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))))) (/ (PI) 2) (PI) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (/ (* (+ Omc Om) (- Omc Om)) (* (* Omc Omc) (+ (* (/ (* 2 t) (* l l)) t) 1))) (+ (* (/ (* 2 t) (* l l)) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* Om Om) (* Omc Omc)) (* (/ t l) (/ t l)) (+ 1 (* 2 (* (/ t l) (/ t l)))) (asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (* (/ t l) (/ t l))))))) (pow (/ t l) 1/4) (pow (/ Om Omc) 2) (/ (sqrt 1/2) t) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (sqrt 1/2) l) (/ (* 2 t) (* l l)) (* (* Omc Omc) (+ (* (/ (* 2 t) (* l l)) t) 1)) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (* (/ t l) (/ t l)))))))
40.0ms	l	@	0	((+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (* l (/ (sqrt 1/2) t)) (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))))) (/ (PI) 2) (PI) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (/ (* (+ Omc Om) (- Omc Om)) (* (* Omc Omc) (+ (* (/ (* 2 t) (* l l)) t) 1))) (+ (* (/ (* 2 t) (* l l)) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* Om Om) (* Omc Omc)) (* (/ t l) (/ t l)) (+ 1 (* 2 (* (/ t l) (/ t l)))) (asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (* (/ t l) (/ t l))))))) (pow (/ t l) 1/4) (pow (/ Om Omc) 2) (/ (sqrt 1/2) t) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (sqrt 1/2) l) (/ (* 2 t) (* l l)) (* (* Omc Omc) (+ (* (/ (* 2 t) (* l l)) t) 1)) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (* (/ t l) (/ t l)))))))
27.0ms	l	@	-inf	((+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (* l (/ (sqrt 1/2) t)) (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))))) (/ (PI) 2) (PI) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (/ (* (+ Omc Om) (- Omc Om)) (* (* Omc Omc) (+ (* (/ (* 2 t) (* l l)) t) 1))) (+ (* (/ (* 2 t) (* l l)) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* Om Om) (* Omc Omc)) (* (/ t l) (/ t l)) (+ 1 (* 2 (* (/ t l) (/ t l)))) (asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (* (/ t l) (/ t l))))))) (pow (/ t l) 1/4) (pow (/ Om Omc) 2) (/ (sqrt 1/2) t) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (sqrt 1/2) l) (/ (* 2 t) (* l l)) (* (* Omc Omc) (+ (* (/ (* 2 t) (* l l)) t) 1)) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (* (/ t l) (/ t l)))))))
26.0ms	t	@	-inf	((+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (* l (/ (sqrt 1/2) t)) (- (/ (PI) 2) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))))) (/ (PI) 2) (PI) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (/ (* (+ Omc Om) (- Omc Om)) (* (* Omc Omc) (+ (* (/ (* 2 t) (* l l)) t) 1))) (+ (* (/ (* 2 t) (* l l)) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* Om Om) (* Omc Omc)) (* (/ t l) (/ t l)) (+ 1 (* 2 (* (/ t l) (/ t l)))) (asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (* (/ t l) (/ t l))))))) (pow (/ t l) 1/4) (pow (/ Om Omc) 2) (/ (sqrt 1/2) t) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (sqrt 1/2) l) (/ (* 2 t) (* l l)) (* (* Omc Omc) (+ (* (/ (* 2 t) (* l l)) t) 1)) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ 1 (* 2 (* (/ t l) (/ t l)))))))

simplify244.0ms (2.1%)

Memory

-21.7MiB live, 210.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	769	6584
1	2799	5821
0	9495	5586

Stop Event

1×	iter limit
1×	node limit

Counts

129 → 129

Calls

Call 1

Inputs
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (* l (sqrt 1/2)) t)
(- (* 1/2 (PI)) (acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2))
(+ (* -2 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 2)))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2)))
(+ (* (pow t 2) (- (* 4 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 4)))) (* 2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow l 2)))))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2)))
(+ (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 6)))) (* -4 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow l 4)))))) (* 2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow l 2)))))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2)))
(/ (pow t 2) (pow l 2))
(exp (* 1/4 (+ (log t) (log (/ 1 l)))))
(/ (sqrt 1/2) t)
(* 2 (/ t (pow l 2)))
(pow Omc 2)
(+ (* 2 (/ (* (pow Omc 2) (pow t 2)) (pow l 2))) (pow Omc 2))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* 1/2 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 2))))
(/ (+ (* -1/4 (/ (* (pow l 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (pow Omc 2)))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 4)))) (* 1/2 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (pow Omc 2)))) (* 1/4 (/ (* (pow l 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 2))))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 6)))) (* 1/2 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (pow Omc 2)))) (+ (* -1/8 (/ (* (pow l 6) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ (* (pow l 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 2)))))) (pow t 2))
(exp (* 1/4 (+ (log (/ 1 l)) (* -1 (log (/ 1 t))))))
(* 2 (/ (* (pow Omc 2) (pow t 2)) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ (pow Omc 2) (pow l 2))) (/ (pow Omc 2) (pow t 2))))
(* 2 (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ (pow (sqrt -1) 2) (pow l 2))) (/ 1 (pow t 2))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)))))))
(* -1 (* (/ (* l (sqrt 1/2)) (* t (sqrt -1))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (* (pow (sqrt -1) 3) (sqrt 1/2)))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (* l (sqrt 1/2)) (sqrt -1)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 6))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow (sqrt -1) 6) (pow (sqrt 1/2) 2)))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (* (pow (sqrt -1) 3) (sqrt 1/2)))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (* l (sqrt 1/2)) (sqrt -1)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 6))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow (sqrt -1) 6) (pow (sqrt 1/2) 2)))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 8))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 6))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow (sqrt -1) 6) (pow (sqrt 1/2) 2)))))) (* (pow (sqrt -1) 2) (pow (sqrt 1/2) 2)))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (* (pow (sqrt -1) 3) (sqrt 1/2)))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (* l (sqrt 1/2)) (sqrt -1)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (pow (sqrt -1) 2))))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (pow (sqrt -1) 4)))) (* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 2)))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 4) (pow (sqrt -1) 6)))) (* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 2)))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (pow (sqrt -1) 4))))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt -1) 8)))) (* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 2)))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 4) (pow (sqrt -1) 6)))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (pow (sqrt -1) 4)))))) (pow t 2))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(exp (* 1/4 (+ (log (/ -1 l)) (* -1 (log (/ -1 t))))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 4)))) (* 1/2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 2))))))
(* (pow l 2) (+ (* 1/2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 2)))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 6)))) (* 1/4 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 4))))))))
(* (pow l 2) (+ (* 1/2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 2)))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 8)))) (* -1/8 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 6)))))) (* 1/4 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 4))))))))
(exp (* 1/4 (+ (log t) (* -1 (log l)))))
(* l (sqrt 1/2))
(/ (+ (* 2 (* (pow Omc 2) (pow t 2))) (* (pow Omc 2) (pow l 2))) (pow l 2))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(- (+ (* 4 (/ (* (pow t 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 4)))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2))) (* 2 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 2)))))
(- (+ (* -8 (/ (* (pow t 6) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 6)))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2))) (+ (* -4 (/ (* (pow t 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 4)))) (* 2 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 2))))))
(+ 1 (* 2 (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (* (pow (sqrt -1) 6) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (* (pow (sqrt -1) 2) (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* -2 (/ (* (pow t 2) (* (pow (sqrt -1) 2) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* 4 (/ (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (* (pow (sqrt -1) 2) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (* (pow (sqrt -1) 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (* (pow (sqrt -1) 2) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(exp (* 1/4 (+ (log (* -1 t)) (log (/ -1 l)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t))
(/ (pow Om 2) (pow Omc 2))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* Omc (+ (* -1 (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2))
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* Omc (+ (* -1 (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) (pow Omc 2))
(* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
(+ (* -1 (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (+ (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(+ (* -1 (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (+ (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (* -1 (/ (+ (* -1 (+ (* -1 (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ (pow Om 2) (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) Omc)) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(.f64 (fma.f64 #s(literal -1 binary64) (.f64 (/.f64 t l) (/.f64 t l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (-.f64 (.f64 (/.f64 Om (.f64 Omc Omc)) (/.f64 Om (pow.f64 l #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (.f64 (neg.f64 l) l))) (.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
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(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt -1) 8)))) (* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt -1) 2)))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 4) (pow (sqrt -1) 6)))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (pow (sqrt -1) 4)))))) (pow t 2))
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(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
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(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
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(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
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(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
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(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 4)))) (* 1/2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 2))))))
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(* (pow l 2) (+ (* 1/2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 2)))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 6)))) (* 1/4 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 4))))))))
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(* (pow l 2) (+ (* 1/2 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 2)))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow t 8)))) (* -1/8 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 6)))))) (* 1/4 (/ (* (+ Om Omc) (- Omc Om)) (* (pow Omc 2) (pow t 4))))))))
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(exp (* 1/4 (+ (log t) (* -1 (log l)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 t) (log.f64 l)))
(* l (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(/ (+ (* 2 (* (pow Omc 2) (pow t 2))) (* (pow Omc 2) (pow l 2))) (pow l 2))
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(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
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(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
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(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
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(- (+ (* 4 (/ (* (pow t 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 4)))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2))) (* 2 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 2)))))
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(- (+ (* -8 (/ (* (pow t 6) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 6)))) (/ (* (+ Om Omc) (- Omc Om)) (pow Omc 2))) (+ (* -4 (/ (* (pow t 4) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 4)))) (* 2 (/ (* (pow t 2) (* (+ Om Omc) (- Omc Om))) (* (pow Omc 2) (pow l 2))))))
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(+ 1 (* 2 (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2))))
(fma.f64 (/.f64 #s(literal -2 binary64) (.f64 l l)) (.f64 t t) #s(literal 1 binary64))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
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(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
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(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (* (pow t 2) (pow (sqrt -1) 2)) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (* (pow (sqrt -1) 6) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (* (pow (sqrt -1) 2) (+ (* -4 (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
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(- (+ 1 (* -2 (/ (* (pow t 2) (* (pow (sqrt -1) 2) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
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(- (+ 1 (* -8 (/ (* (pow t 6) (* (pow (sqrt -1) 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (* (pow (sqrt -1) 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (* (pow (sqrt -1) 2) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
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(exp (* 1/4 (+ (log (* -1 t)) (log (/ -1 l)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (neg.f64 t)) (log.f64 (/.f64 #s(literal -1 binary64) l))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
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(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
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(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
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(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
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(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 Omc Omc)) (/.f64 (.f64 Om Om) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t))
(fma.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 Omc Omc) t)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 Om Om)) (.f64 (/.f64 l (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) (.f64 Om Om) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 Omc #s(literal 4 binary64)) t)) (.f64 (.f64 #s(literal -1/16 binary64) (.f64 Om Om)) (.f64 (/.f64 l (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) (.f64 Om Om) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 l (.f64 Omc Omc))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (.f64 Om Om) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(/ (pow Om 2) (pow Omc 2))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))) Om)
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om)
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om)
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(/.f64 (.f64 (neg.f64 Om) Om) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 Omc Omc)) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (.f64 Om Om))
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))
(/.f64 (.f64 (.f64 Om (.f64 l (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 Omc t))
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 Om Om))) (.f64 (/.f64 l (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (.f64 (/.f64 (.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (neg.f64 t) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 Om Om))) (.f64 (/.f64 l (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (.f64 (.f64 (pow.f64 Om #s(literal 6 binary64)) t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (neg.f64 t) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 Om Om))) (.f64 (/.f64 l (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) Om)
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(.f64 (.f64 (neg.f64 Om) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(.f64 (neg.f64 Om) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(.f64 (neg.f64 Om) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))))
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)))
(.f64 (neg.f64 Om) (.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(.f64 (neg.f64 Om) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 Om Om))) (.f64 (/.f64 l (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (.f64 (/.f64 (.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(.f64 (neg.f64 Om) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (neg.f64 t) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 Om Om))) (.f64 (/.f64 l (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))))
(.f64 (neg.f64 Om) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (.f64 (.f64 (pow.f64 Om #s(literal 6 binary64)) t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (neg.f64 t) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 Omc (.f64 Om Om))) (.f64 (/.f64 l (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) Om (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 Omc (sqrt.f64 #s(literal -1 binary64))) (/.f64 Omc Om))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 Omc Omc) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)))))) (.f64 Omc Omc))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 Omc (pow.f64 Om #s(literal 5 binary64))) (/.f64 Omc (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)))))) (.f64 Omc Omc) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) #s(literal 1/2 binary64))) (.f64 Omc Omc) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/.f64 (/.f64 (fma.f64 (neg.f64 Om) Om (.f64 Omc Omc)) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) (*.f64 Omc Omc))
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/.f64 (fma.f64 (.f64 (.f64 Omc Omc) #s(literal 1/2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) (/.f64 l (.f64 (sqrt.f64 #s(literal -1 binary64)) t))) (/.f64 (.f64 (.f64 Om (*.f64 l (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 l Om)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) t)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 Omc Omc)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)) t)))) (.f64 Omc Omc) (/.f64 (.f64 (.f64 Om (.f64 l (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)) t)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) Omc)) (.f64 (.f64 (pow.f64 Om #s(literal 5 binary64)) t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 Omc Omc) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 Om t)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (sqrt.f64 #s(literal -1 binary64))))) (.f64 Omc Omc) (/.f64 (.f64 (.f64 Om (*.f64 l (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) t)) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* Omc (+ (* -1 (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2))
(/.f64 (fma.f64 #s(literal 0 binary64) Omc (/.f64 (.f64 (neg.f64 Om) Om) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 Omc Omc))
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* Omc (+ (* -1 (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) (pow Omc 2))
(/.f64 (fma.f64 (+.f64 (/.f64 Omc (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) #s(literal 0 binary64)) Omc (/.f64 (.f64 (neg.f64 Om) Om) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (.f64 Omc Omc))
(* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64)))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(fma.f64 (.f64 (.f64 Om Om) #s(literal -1/2 binary64)) (.f64 (/.f64 l (.f64 Omc Omc)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (.f64 (/.f64 l (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
(fma.f64 (.f64 (.f64 Om Om) #s(literal -1/2 binary64)) (.f64 (/.f64 l (.f64 Omc Omc)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (.f64 (/.f64 l (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (fma.f64 (.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(+ (* -1 (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (+ (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(fma.f64 (/.f64 #s(literal -1 binary64) Omc) (/.f64 Om (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 Om Omc) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))
(+ (* -1 (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (+ (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ Om (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 Om Omc) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) (/.f64 (.f64 Om Om) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))) (/.f64 (+.f64 (/.f64 Om Omc) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))
(+ (* -1 (/ (+ (* -1 (+ (* -1 (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ Om (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ (pow Om 2) (* Omc (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) Omc)) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) #s(literal 0 binary64)) Omc) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))

rewrite164.0ms (1.4%)

Memory

35.4MiB live, 227.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	587
0	118	570
1	412	513
2	2634	460
0	9424	441

Stop Event

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

Counts

28 → 771

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
(*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l)) t #s(literal 1 binary64))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))))
(/.f64 (.f64 Om Om) (.f64 Omc Omc))
(*.f64 (/.f64 t l) (/.f64 t l))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))))
(pow.f64 (/.f64 t l) #s(literal 1/4 binary64))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l))
(.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 l l)) t #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l))))))

Outputs
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64)))) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 t) l))) (/.f64 t l) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 t l)))) (/.f64 t l) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (neg.f64 l))) (/.f64 t l) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 #s(literal 2 binary64) l)) (fabs.f64 (*.f64 (/.f64 t l) t)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) t)) (fabs.f64 (/.f64 (/.f64 t l) l)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l))) (/.f64 t l) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (.f64 (/.f64 (/.f64 t l) l) #s(literal 2 binary64))) (fabs.f64 (.f64 t #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 t l) l) #s(literal 2 binary64))) (fabs.f64 t) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 (sqrt.f64 (/.f64 t l)) #s(literal 2 binary64))) (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 7/4 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 t l) #s(literal 1/8 binary64)))) (pow.f64 (/.f64 t l) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (pow.f64 (/.f64 t l) #s(literal 7/4 binary64))) (fabs.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 7/4 binary64)) #s(literal 2 binary64))) (fabs.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 7/4 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 t l) l) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 t) l)) (/.f64 (neg.f64 t) l) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 t l)) #s(literal 2 binary64)) (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 7/4 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 t l) #s(literal 1/8 binary64))) (pow.f64 (/.f64 t l) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 t l))) (/.f64 t l) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (neg.f64 l)) (/.f64 (neg.f64 t) l) #s(literal 1 binary64))
(fma.f64 (fabs.f64 t) (fabs.f64 (.f64 (.f64 (/.f64 (/.f64 t l) l) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 t) (fabs.f64 (*.f64 (/.f64 (/.f64 t l) l) #s(literal 2 binary64))) #s(literal 1 binary64))
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(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (/.f64 Om Omc)))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 Om Omc) #s(literal 3 binary64)))) (sqrt.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(exp.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (log1p.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (log1p.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (log1p.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))

eval164.0ms (1.4%)

Memory: -43.3MiB live, 161.8MiB allocated
Compiler: Compiled 28 735 to 3 557 computations (87.6% saved)

prune36.0ms (0.3%)

Memory

4.3MiB live, 96.2MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	600	3	603
Fresh	3	7	10
Picked	2	3	5
Done	0	2	2
Total	605	15	620

Accuracy

99.0%

Counts

620 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
	1.9%	(-.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
✓	12.4%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
	82.1%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
	72.0%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (/.f64 t l)) #s(literal 4 binary64)))))))
✓	72.1%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))))
	69.9%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))))
	32.9%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (-.f64 Omc Om) (+.f64 Omc Om)) (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) Omc) Omc)))))
	67.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
✓	52.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
	49.4%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc)))))))
	48.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) t))))
✓	48.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
	48.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
✓	48.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))

Compiler

Compiled 2 024 to 696 computations (65.6% saved)

regimes184.0ms (1.6%)

Memory

24.7MiB live, 169.9MiB allocated

Counts

39 → 2

Calls

Call 1

Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(approx (+ (* Omc Omc) (* (neg Om) Om)) (.f64 Omc Omc)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (-.f64 Omc Om) (+.f64 Omc Om)) (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) Omc) Omc)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 (.f64 l l) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l))))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1) (.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (/.f64 t l)) #s(literal 4 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) t))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l))))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))

Outputs

(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))))))

(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))

Calls

14 calls:

28.0ms	(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
23.0ms	Om
18.0ms	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
11.0ms	Omc
11.0ms	l

Results

Accuracy	Segments	Branch
88.8%	2	`t`
84.9%	2	`l`
82.1%	1	`Om`
82.1%	1	`Omc`
98.9%	2	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`
98.9%	2	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`
98.9%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`
82.1%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
82.1%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
82.1%	1	`(/.f64 Om Omc)`
98.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
98.9%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
98.9%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
98.9%	2	`(/.f64 t l)`

Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes123.0ms (1%)

Memory

-11.8MiB live, 84.6MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(approx (+ (* Omc Omc) (* (neg Om) Om)) (.f64 Omc Omc)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (-.f64 Omc Om) (+.f64 Omc Om)) (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) Omc) Omc)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 (.f64 l l) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l))))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1) (.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (/.f64 t l)) #s(literal 4 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) t))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l))))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 t l) #s(literal 3/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))))

Outputs

(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))

(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))

Calls

7 calls:

46.0ms	(/.f64 t l)
10.0ms	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
9.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
9.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
9.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))

Results

Accuracy	Segments	Branch
98.9%	2	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`
98.9%	2	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`
98.9%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`
98.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
98.9%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
98.9%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
98.9%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes104.0ms (0.9%)

Memory

-0.3MiB live, 90.0MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(approx (+ (* Omc Omc) (* (neg Om) Om)) (.f64 Omc Omc)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (-.f64 Omc Om) (+.f64 Omc Om)) (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) Omc) Omc)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 (.f64 l l) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l))))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1) (.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (/.f64 t l)) #s(literal 4 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) t))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 t l))) (sqrt.f64 (sqrt.f64 (/.f64 t l))))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))

Outputs

(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))

(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))

Calls

7 calls:

32.0ms	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
26.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
9.0ms	(/.f64 t l)
9.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
9.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))

Results

Accuracy	Segments	Branch
98.9%	2	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`
98.9%	2	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`
98.9%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`
98.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
98.9%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
98.9%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
98.9%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes88.0ms (0.7%)

Memory

-5.7MiB live, 94.9MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(approx (+ (* Omc Omc) (* (neg Om) Om)) (.f64 Omc Omc)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (-.f64 Omc Om) (+.f64 Omc Om)) (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) Omc) Omc)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 (.f64 l l) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l))))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1) (.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (/.f64 t l)) #s(literal 4 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))

Outputs

(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64)))))

(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))

Calls

7 calls:

25.0ms	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
24.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
8.0ms	(/.f64 t l)
7.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
7.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))

Results

Accuracy	Segments	Branch
98.9%	2	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`
98.9%	2	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`
98.9%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`
98.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
98.9%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
98.9%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
98.9%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes71.0ms (0.6%)

Memory

6.7MiB live, 53.5MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(approx (+ (* Omc Omc) (* (neg Om) Om)) (.f64 Omc Omc)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (-.f64 Omc Om) (+.f64 Omc Om)) (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) Omc) Omc)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 (.f64 l l) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l))))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1) (.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (/.f64 t l)) #s(literal 4 binary64)))))))

Outputs

(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 t l) t) l))))))

(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))

Calls

7 calls:

26.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
7.0ms	(/.f64 t l)
7.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
7.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
7.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
98.8%	2	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`
98.8%	2	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`
98.8%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`
98.8%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
98.8%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
98.8%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
98.8%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes73.0ms (0.6%)

Memory

16.6MiB live, 62.5MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (/ t l) 1/4) (* (pow (/ t l) 1/4) (* (pow (/ t l) 3/2) 2))) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(approx (+ (* Omc Omc) (* (neg Om) Om)) (.f64 Omc Omc)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (+.f64 Omc Om) (-.f64 Omc Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (.f64 (-.f64 Omc Om) (+.f64 Omc Om)) (.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) Omc) Omc)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 (.f64 l l) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (.f64 (.f64 Omc Omc) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t (/.f64 t (*.f64 l l))))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (/.f64 (fma.f64 Omc Omc (.f64 (neg.f64 Om) Om)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (.f64 Omc Omc)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ (* (* (* (/ t l) 2) (sqrt (/ t l))) (sqrt (/ t l))) 1) (.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l))))))

Outputs

(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))

(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))

Calls

7 calls:

30.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
7.0ms	(/.f64 t l)
7.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
7.0ms	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
98.3%	2	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`
98.3%	2	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`
98.3%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`
98.3%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
98.3%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
98.3%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
98.3%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes28.0ms (0.2%)

Memory

-27.8MiB live, 18.8MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc)))))))

Outputs

(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 Om (/.f64 Om (*.f64 Omc Omc)))))))

(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))

Calls

7 calls:

2.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
2.0ms	(/.f64 t l)
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
2.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
2.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
95.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
95.9%	2	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`
95.9%	2	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`
95.9%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`
95.9%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
95.9%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
95.9%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes39.0ms (0.3%)

Memory

-16.1MiB live, 35.2MiB allocated

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts

3 → 1

Calls

Call 1

Inputs

(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))

(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))

(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))

Outputs

(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))

Calls

14 calls:

2.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
2.0ms	t
2.0ms	Om
2.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
2.0ms	l

Results

Accuracy	Segments	Branch
48.8%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
48.8%	1	`(/.f64 Om Omc)`
48.8%	1	`Omc`
48.8%	1	`Om`
48.8%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
48.8%	1	`l`
48.8%	1	`t`
48.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
48.8%	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`
48.8%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`
48.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`
48.8%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
48.8%	1	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
48.8%	1	`(/.f64 t l)`

Compiler

Compiled 97 to 112 computations (-15.5% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3774567341787103e+47	1.9925647966455165e+49

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.5747063402433526e+139	8.525056654283525e+143

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.5285730820664764e+54	8.349142666446434e+54

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.6550897107167576e+20	8.706280195624448e+21

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	15665.644316076103	2093595591.721358

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.2518409995737394	15665.644316076103

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.2518409995737394	15665.644316076103

Compiler

Compiled 22 to 23 computations (-4.5% saved)

simplify50.0ms (0.4%)

Memory

39.1MiB live, 39.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	581
1	151	581
2	269	581
3	620	581
4	1413	581
5	3814	581

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000008769168609015239470926809530368 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 50000000000000002964190062040743501853181244383522664432425037241499788914236990326011648254009062284575896118646691474114848581757291200512 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 5000000000000000051175335102042755748152194067662372864 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000000000 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 20000 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))

Outputs
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000008769168609015239470926809530368 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 50000000000000002964190062040743501853181244383522664432425037241499788914236990326011648254009062284575896118646691474114848581757291200512 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 5000000000000000051175335102042755748152194067662372864 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) t) (sqrt.f64 (/.f64 t l))) l) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000000000 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 20000 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))

soundness1.0s (8.9%)

Memory

-1.0MiB live, 830.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	3481
1	1340	2940
2	6131	2895
0	8598	2765
0	59	464
0	101	450
1	333	396
2	2452	381
0	8145	364
0	16	73
0	26	73
1	94	69
2	584	51
0	8434	51
0	683	5716
1	2514	5066
0	9179	4865
0	71	516
0	119	465
1	381	402
2	2598	384
0	8533	371

Stop Event

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

Compiler

Compiled 1 274 to 623 computations (51.1% saved)

preprocess77.0ms (0.7%)

Memory

3.7MiB live, 194.4MiB allocated

Remove

(abs Om)

(abs Omc)

Compiler

Compiled 2 468 to 894 computations (63.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze376.0ms (3.2%)

sample4.5s (38%)

explain279.0ms (2.4%)

preprocess175.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify143.0ms (1.2%)

localize84.0ms (0.7%)

series43.0ms (0.4%)

simplify201.0ms (1.7%)

rewrite128.0ms (1.1%)

eval99.0ms (0.8%)

prune26.0ms (0.2%)

simplify98.0ms (0.8%)

localize198.0ms (1.7%)

series75.0ms (0.6%)

simplify193.0ms (1.6%)

rewrite348.0ms (3%)

eval169.0ms (1.4%)

prune106.0ms (0.9%)

simplify98.0ms (0.8%)

localize245.0ms (2.1%)

series74.0ms (0.6%)

simplify186.0ms (1.6%)

rewrite167.0ms (1.4%)

eval485.0ms (4.1%)

prune35.0ms (0.3%)

simplify135.0ms (1.2%)

localize363.0ms (3.1%)

series241.0ms (2.1%)

simplify244.0ms (2.1%)

rewrite164.0ms (1.4%)

eval164.0ms (1.4%)

prune36.0ms (0.3%)

regimes184.0ms (1.6%)

regimes123.0ms (1%)

regimes104.0ms (0.9%)

regimes88.0ms (0.7%)

regimes71.0ms (0.6%)

regimes73.0ms (0.6%)

regimes28.0ms (0.2%)

regimes39.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify50.0ms (0.4%)

soundness1.0s (8.9%)

preprocess77.0ms (0.7%)

end0.0ms (0%)

Profiling