Metrics for Toniolo and Linder, Equation (2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze525.0ms (4.1%)

Memory

19.3MiB live, 410.3MiB 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)

sample4.1s (31.6%)

Memory

-109.6MiB live, 4 699.0MiB allocated

Samples

1.1s	7 124×	0	invalid
1.1s	3 845×	1	valid
587.0ms	4 411×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-div: 657.0ms (29.6% of total)

ival-pow2: 602.0ms (27.2% of total)

ival-asin: 248.0ms (11.2% of total)

ival-mult: 182.0ms (8.2% of total)

ival-sqrt: 141.0ms (6.4% of total)

adjust: 123.0ms (5.5% of total)

ival-add: 119.0ms (5.4% of total)

ival-sub: 107.0ms (4.8% of total)

exact: 18.0ms (0.8% of total)

ival-true: 13.0ms (0.6% of total)

ival-assert: 7.0ms (0.3% of total)

Bogosity

explain285.0ms (2.2%)

Memory

3.8MiB live, 436.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
51	1	(511129340242897.7 -1.0748372991087915e-308 4.597760496594218e-225 -6.818006192308976e-65)	5	(5.031525607441897e+299 -1.1280218026133101e+141 2.5286945246639745e-52 1.8457133352022723e+123)	`(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))))))`
6	116	(6.769555779389045e+192 -1.140109508513865e+266 1.5317392234146114e-231 -7.066242448842699e-207)	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)))))))`
5	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	122	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	47	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	72
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`	underflow	61
↳	`(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	25
↳	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`	underflow	61
↳	`(/.f64 t l)`	underflow	22
↳	`(/.f64 Om Omc)`	underflow	57
↳	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`	underflow	135
`/.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	5	0
↳	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`	overflow	77
↳	`(/.f64 t l)`	overflow	27
↳	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`	overflow	77
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`	overflow	77

Confusion

	Predicted +	Predicted -
+	57	0
-	117	82

Precision

0.3275862068965517

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	57	0	0
-	117	0	82

Precision?

0.3275862068965517

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

70.0ms	234×	1	valid
39.0ms	278×	0	valid

Compiler

Compiled 221 to 52 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 20.0ms (25.7% of total)

ival-pow2: 20.0ms (25.7% of total)

ival-sqrt: 9.0ms (11.6% of total)

adjust: 8.0ms (10.3% of total)

ival-asin: 8.0ms (10.3% of total)

ival-mult: 5.0ms (6.4% of total)

ival-sub: 4.0ms (5.1% of total)

ival-add: 4.0ms (5.1% of total)

ival-true: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

preprocess157.0ms (1.2%)

Memory

1.2MiB live, 201.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	278
1	192	270
2	396	270
3	1045	270
4	3026	270
5	6156	270
0	16	19
0	26	19
1	37	19
2	61	19
3	126	19
4	266	19
5	569	19
6	1184	19
7	2910	19
8	5151	19
9	7414	19
0	8085	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 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.8%	(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

▶

80.8%

(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)

simplify119.0ms (0.9%)

Memory

-14.9MiB live, 100.9MiB 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	37	99
2	61	99
3	126	99
4	266	99
5	569	99
6	1184	99
7	2910	99
8	5151	99
9	7414	99
0	8085	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 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #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 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #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 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #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

localize75.0ms (0.6%)

Memory

22.0MiB live, 59.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.24285126953688402	(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy	0.40569496644496117	(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	0.4691454153669282	(/.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	11.174686147074292	(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

35.0ms	139×	0	valid
29.0ms	117×	1	valid

Compiler

Compiled 101 to 18 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 27.0ms (54.2% of total)

ival-pow2: 7.0ms (14.1% of total)

ival-asin: 4.0ms (8% of total)

adjust: 3.0ms (6% of total)

ival-sqrt: 3.0ms (6% of total)

ival-sub: 2.0ms (4% of total)

ival-add: 2.0ms (4% of total)

ival-mult: 2.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.4%)

Memory

6.6MiB live, 44.3MiB allocated

Counts

5 → 59

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))

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)))
(* 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
22.0ms	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))
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))
3.0ms	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))
3.0ms	Om	@	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))
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))

simplify218.0ms (1.7%)

Memory

-23.2MiB live, 252.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	390	3480
1	1207	2950
2	4656	2741
0	8195	2625

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 59

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

rewrite216.0ms (1.7%)

Memory

-14.4MiB live, 245.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	68
0	26	68
1	100	68
2	734	68
3	7742	68
0	9001	64

Stop Event

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

Counts

5 → 481

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))

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

eval79.0ms (0.6%)

Memory: 27.2MiB live, 181.0MiB allocated
Compiler: Compiled 20 213 to 2 574 computations (87.3% saved)

prune25.0ms (0.2%)

Memory

-16.4MiB live, 60.9MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	522	17	539
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	523	17	540

Accuracy

96.4%

Counts

540 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.1%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
▶	49.5%	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
	61.5%	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
	61.5%	(.f64 (-.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))))
	80.8%	(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
▶	80.8%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
▶	77.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (neg.f64 t) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 1 binary64)))))
	45.7%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) (/.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) l) l)))))
	50.0%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)))))
	69.9%	(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)))))))
▶	46.9%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
	19.6%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 l #s(literal 4 binary64))) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (.f64 Omc Omc)) #s(literal 1 binary64)) (.f64 t t)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (fma.f64 (neg.f64 Om) (/.f64 Om (.f64 Omc Omc)) #s(literal 1 binary64)))) (.f64 t t)))))
	67.3%	(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))))))
	20.1%	(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 (fma.f64 (neg.f64 Om) (/.f64 Om (.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t))))))
▶	67.6%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t 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)))))))
	47.1%	(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 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))))
	40.1%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (.f64 Omc Omc)) #s(literal 1 binary64))) (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 1 152 to 822 computations (28.6% saved)

simplify147.0ms (1.1%)

Memory

10.3MiB live, 126.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	656
0	114	625
1	197	608
2	398	608
3	949	590
4	2124	590
5	3627	590
6	5518	590
7	7399	590
0	8194	587

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

localize343.0ms (2.7%)

Memory

15.2MiB live, 411.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	11.174686147074292	(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))
accuracy	28.01129748416239	(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))
accuracy	31.03008523730487	(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
accuracy	0.40569496644496117	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (neg.f64 t) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 1 binary64)))))
accuracy	0.4691454153669282	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (neg.f64 t) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 1 binary64)))
accuracy	2.1735853790893875	(fma.f64 (neg.f64 t) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy	11.174686147074292	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (neg.f64 t) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 1 binary64))))
accuracy	0.4691454153669282	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))
accuracy	2.1735853790893875	(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))
accuracy	8.04379493933236	(.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t)
accuracy	11.170780199825465	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))
accuracy	0.40569496644496117	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
accuracy	8.45888827872653	(/.f64 Om (*.f64 Omc Omc))
accuracy	11.174686147074292	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))
accuracy	31.900175671918536	#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))
accuracy	0.24285126953688402	(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy	0.40569496644496117	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
accuracy	0.4691454153669282	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy	11.174686147074292	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))

Samples

146.0ms	161×	1	valid
133.0ms	88×	2	valid
3.0ms	7×	0	valid

Compiler

Compiled 600 to 64 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-mult: 45.0ms (20.4% of total)

ival-div: 43.0ms (19.5% of total)

adjust: 33.0ms (14.9% of total)

ival-sqrt: 23.0ms (10.4% of total)

ival-add: 19.0ms (8.6% of total)

ival-asin: 15.0ms (6.8% of total)

ival-pow2: 13.0ms (5.9% of total)

ival-acos: 12.0ms (5.4% of total)

ival-pi: 7.0ms (3.2% of total)

ival-sub: 6.0ms (2.7% of total)

ival-neg: 5.0ms (2.3% of total)

exact: 1.0ms (0.5% of total)

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

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

series61.0ms (0.5%)

Memory

-5.8MiB live, 72.2MiB allocated

Counts

28 → 133

Calls

Call 1

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

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	t	@	inf	((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (* (/ Om Omc) (/ Om Omc)) (+ (* (* (/ 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))))) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1) (* (/ -1 l) (* (/ t l) 2)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1))))
9.0ms	t	@	0	((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (* (/ Om Omc) (/ Om Omc)) (+ (* (* (/ 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))))) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1) (* (/ -1 l) (* (/ t l) 2)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1))))
5.0ms	l	@	0	((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (* (/ Om Omc) (/ Om Omc)) (+ (* (* (/ 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))))) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1) (* (/ -1 l) (* (/ t l) 2)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1))))
5.0ms	Om	@	0	((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (* (/ Om Omc) (/ Om Omc)) (+ (* (* (/ 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))))) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1) (* (/ -1 l) (* (/ t l) 2)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1))))
4.0ms	l	@	inf	((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (* (/ Om Omc) (/ Om Omc)) (+ (* (* (/ 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))))) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1) (* (/ -1 l) (* (/ t l) 2)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (neg t) (* (/ -1 l) (* (/ t l) 2))) 1)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1))))

simplify171.0ms (1.3%)

Memory

6.7MiB live, 194.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	823	7332
1	2593	6272
0	8354	5912

Stop Event

1×	iter limit
1×	node limit

Counts

133 → 133

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

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

rewrite207.0ms (1.6%)

Memory

-19.1MiB live, 228.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	462
0	114	431
1	423	408
2	3270	408
0	9056	390

Stop Event

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

Counts

28 → 927

Calls

Call 1

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

Outputs
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (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 (-.f64 #s(literal 1 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 -1 binary64)))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (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)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.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 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (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) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (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 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (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)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
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eval167.0ms (1.3%)

Memory: 10.6MiB live, 196.9MiB allocated
Compiler: Compiled 37 620 to 4 152 computations (89% saved)

prune68.0ms (0.5%)

Memory

32.5MiB live, 71.8MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	806	18	824
Fresh	9	3	12
Picked	4	1	5
Done	0	0	0
Total	819	22	841

Accuracy

99.3%

Counts

841 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.9%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.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))))))))
	48.9%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))))
	49.3%	(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))))
	48.5%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
	50.9%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (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)))))))))
▶	46.4%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ ( -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))))))
	50.0%	(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (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))) (fma.f64 #s(literal 1/2 binary64) (PI.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))))))))
	45.7%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) (/.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) l) l)))))
	69.9%	(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)))))))
	67.3%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
	50.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
✓	46.9%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
▶	20.1%	(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 (fma.f64 (neg.f64 Om) (/.f64 Om (.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t))))))
▶	8.9%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (.f64 (neg.f64 Om) Om) (.f64 Omc Omc))))))
	21.7%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (/.f64 #s(literal 1 binary64) (.f64 Omc Omc))) (.f64 Om Om))))))
	51.2%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.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)))))))
▶	80.6%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))
	77.3%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t 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 t l)) l) t #s(literal 1 binary64)))))))
	24.9%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (.f64 (/.f64 (.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))))
	51.0%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
	47.2%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))))))
	43.6%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (.f64 (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 1 851 to 1 272 computations (31.3% saved)

simplify121.0ms (0.9%)

Memory

-30.0MiB live, 162.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	910
0	135	882
1	221	827
2	417	827
3	894	827
4	2358	818
5	5880	818
0	8517	813

Stop Event

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

Calls

Call 1

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

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

localize434.0ms (3.4%)

Memory

37.5MiB live, 541.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	11.174686147074292	(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)))))
accuracy	28.01129748416239	(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))))))
accuracy	30.513810146724694	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.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))))))))
accuracy	31.900175671918536	#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))))
accuracy	8.616379252320096	(/.f64 (*.f64 t t) l)
accuracy	11.174686147074292	(sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))
accuracy	28.01129748416239	(acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))
accuracy	31.03008523730487	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ ( -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))))))
accuracy	8.45888827872653	(/.f64 Om (*.f64 Omc Omc))
accuracy	11.174686147074292	(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 (fma.f64 (neg.f64 Om) (/.f64 Om (.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))
accuracy	17.453392682306127	(.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))
accuracy	29.824671636315543	#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t))))
accuracy	11.174686147074292	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (.f64 (neg.f64 Om) Om) (.f64 Omc Omc)))))
accuracy	18.544381946313962	(/.f64 (.f64 (neg.f64 Om) Om) (.f64 Omc Omc))
accuracy	31.900175671918536	#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (.f64 (neg.f64 Om) Om) (.f64 Omc Omc))))
accuracy	62.25946377924837	#s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (.f64 (neg.f64 Om) Om) (.f64 Omc Omc)))
accuracy	0.24285126953688402	(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
accuracy	0.2905999170217822	#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
accuracy	0.40569496644496117	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))
accuracy	11.711731814041736	(sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))

Samples

167.0ms	163×	1	valid
153.0ms	88×	2	valid
2.0ms	5×	0	valid

Compiler

Compiled 654 to 69 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-mult: 47.0ms (18.5% of total)

adjust: 45.0ms (17.7% of total)

ival-div: 36.0ms (14.2% of total)

ival-acos: 30.0ms (11.8% of total)

ival-add: 25.0ms (9.8% of total)

ival-pow2: 24.0ms (9.4% of total)

ival-sqrt: 20.0ms (7.9% of total)

ival-neg: 8.0ms (3.1% of total)

ival-sub: 6.0ms (2.4% of total)

ival-asin: 6.0ms (2.4% of total)

ival-cbrt: 4.0ms (1.6% 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)

series67.0ms (0.5%)

Memory

15.8MiB live, 131.9MiB allocated

Counts

30 → 152

Calls

Call 1

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

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	t	@	inf	((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 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))))) (/ (* (neg Om) Om) (* Omc 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)))) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (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 (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (+ (* (/ -2 l) (/ (* t t) l)) -1) (+ (* (/ Om Omc) (/ Om Omc)) -1) (sqrt (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ Om (* Omc Omc)) (acos (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1)))) (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1))) (/ (* t t) l) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))))
8.0ms	t	@	0	((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 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))))) (/ (* (neg Om) Om) (* Omc 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)))) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (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 (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (+ (* (/ -2 l) (/ (* t t) l)) -1) (+ (* (/ Om Omc) (/ Om Omc)) -1) (sqrt (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ Om (* Omc Omc)) (acos (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1)))) (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1))) (/ (* t t) l) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))))
7.0ms	l	@	0	((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 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))))) (/ (* (neg Om) Om) (* Omc 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)))) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (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 (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (+ (* (/ -2 l) (/ (* t t) l)) -1) (+ (* (/ Om Omc) (/ Om Omc)) -1) (sqrt (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ Om (* Omc Omc)) (acos (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1)))) (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1))) (/ (* t t) l) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))))
5.0ms	Om	@	inf	((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 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))))) (/ (* (neg Om) Om) (* Omc 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)))) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (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 (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (+ (* (/ -2 l) (/ (* t t) l)) -1) (+ (* (/ Om Omc) (/ Om Omc)) -1) (sqrt (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ Om (* Omc Omc)) (acos (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1)))) (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1))) (/ (* t t) l) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))))
5.0ms	t	@	-inf	((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 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))))) (/ (* (neg Om) Om) (* Omc 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)))) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (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 (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (+ (* (/ -2 l) (/ (* t t) l)) -1) (+ (* (/ Om Omc) (/ Om Omc)) -1) (sqrt (PI)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ Om (* Omc Omc)) (acos (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1)))) (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1))) (/ (* t t) l) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))))

simplify225.0ms (1.7%)

Memory

-18.8MiB live, 226.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	901	8316
1	2900	7249
0	9259	6822

Stop Event

1×	iter limit
1×	node limit

Counts

152 → 152

Calls

Call 1

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

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

rewrite177.0ms (1.4%)

Memory

-2.3MiB live, 228.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	642
0	135	602
1	480	566
2	3637	566
0	9245	560

Stop Event

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

Counts

30 → 867

Calls

Call 1

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

eval286.0ms (2.2%)

Memory: 26.5MiB live, 300.1MiB allocated
Compiler: Compiled 65 150 to 5 969 computations (90.8% saved)

prune53.0ms (0.4%)

Memory

-7.5MiB live, 76.7MiB allocated

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	1 169	14	1 183
Fresh	9	7	16
Picked	3	2	5
Done	0	1	1
Total	1 181	24	1 205

Accuracy

99.3%

Counts

1 205 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.3%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.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))))))))
	48.9%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))))
▶	46.0%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2)))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l) #s(literal 1 binary64))))))))
	49.3%	(fma.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))))
	48.5%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
	47.7%	(fma.f64 (sqrt.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))))))
	49.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ ( -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(approx (+ (* (/ -2 l) (/ (* t t) l)) -1) #s(literal -1 binary64))))))))
▶	67.3%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
	50.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
✓	46.9%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
	67.5%	(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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
✓	20.1%	(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 (fma.f64 (neg.f64 Om) (/.f64 Om (.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t))))))
	7.9%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
✓	8.9%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (.f64 (neg.f64 Om) Om) (.f64 Omc Omc))))))
	21.7%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (/.f64 #s(literal 1 binary64) (.f64 Omc Omc))) (.f64 Om Om))))))
	9.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (.f64 Om (/.f64 (neg.f64 Om) (.f64 Omc Omc)))))))
	24.7%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (.f64 l l) t))))))
▶	51.2%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.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)))))))
	50.5%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))))))
	48.2%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (.f64 (fma.f64 (/.f64 l (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t))))))
	49.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) #s(literal 1 binary64))))))
▶	77.3%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t 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 t l)) l) t #s(literal 1 binary64)))))))
	51.0%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
▶	45.5%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))

Compiler

Compiled 2 003 to 1 381 computations (31.1% saved)

simplify151.0ms (1.2%)

Memory

7.1MiB live, 82.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	893
0	131	837
1	218	801
2	380	801
3	627	801
4	1285	801
5	2088	801
6	3316	801
7	4417	801
8	5659	801
9	7941	801
0	8153	768

Stop Event

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

Calls

Call 1

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

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

localize475.0ms (3.7%)

Memory

19.9MiB live, 525.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	8.616379252320096	(/.f64 (*.f64 t t) l)
accuracy	11.174686147074292	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l) #s(literal 1 binary64))))
accuracy	28.01129748416239	(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l) #s(literal 1 binary64)))))
accuracy	30.513810146724694	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2)))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l) #s(literal 1 binary64))))))))
accuracy	0.24285126953688402	(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
accuracy	0.40569496644496117	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.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	0.4296875	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
accuracy	29.510838696259597	#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.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	0.4691454153669282	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))
accuracy	2.1735853790893875	(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))
accuracy	8.04379493933236	(.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t)
accuracy	11.174686147074292	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))))
accuracy	0.2905999170217822	#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))
accuracy	0.40569496644496117	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
accuracy	9.13748329511495	(/.f64 (*.f64 Om Om) Omc)
accuracy	31.57725380434446	#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))
accuracy	0.40569496644496117	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t 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 t l)) l) t #s(literal 1 binary64)))))))
accuracy	0.4691454153669282	(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))
accuracy	2.1735853790893875	(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))
accuracy	11.170780199825465	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))

Samples

240.0ms	163×	1	valid
153.0ms	88×	2	valid
3.0ms	5×	0	valid

Compiler

Compiled 635 to 74 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 319.0ms

ival-div: 97.0ms (30.4% of total)

ival-mult: 64.0ms (20% of total)

adjust: 35.0ms (11% of total)

ival-sqrt: 25.0ms (7.8% of total)

ival-add: 21.0ms (6.6% of total)

ival-acos: 20.0ms (6.3% of total)

ival-cbrt: 18.0ms (5.6% of total)

ival-pow2: 17.0ms (5.3% of total)

ival-asin: 11.0ms (3.4% of total)

ival-sub: 6.0ms (1.9% of total)

ival-neg: 3.0ms (0.9% of total)

ival-pi: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series65.0ms (0.5%)

Memory

-21.4MiB live, 98.7MiB allocated

Counts

27 → 132

Calls

Call 1

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

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	t	@	inf	((* (/ Om Omc) (/ Om Omc)) (+ (* (/ (* 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))))) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 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))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (+ (* (/ 2 l) (/ (* t t) l)) 1) (pow (cbrt (PI)) 2) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (/ (* Om Om) Omc) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (* (sqrt 1/2) l) (acos (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ 2 l) (/ (* t t) l)) 1)))) (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ 2 l) (/ (* t t) l)) 1))) (/ (* t t) l))
7.0ms	l	@	-inf	((* (/ Om Omc) (/ Om Omc)) (+ (* (/ (* 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))))) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 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))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (+ (* (/ 2 l) (/ (* t t) l)) 1) (pow (cbrt (PI)) 2) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (/ (* Om Om) Omc) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (* (sqrt 1/2) l) (acos (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ 2 l) (/ (* t t) l)) 1)))) (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ 2 l) (/ (* t t) l)) 1))) (/ (* t t) l))
6.0ms	Omc	@	-inf	((* (/ Om Omc) (/ Om Omc)) (+ (* (/ (* 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))))) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 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))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (+ (* (/ 2 l) (/ (* t t) l)) 1) (pow (cbrt (PI)) 2) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (/ (* Om Om) Omc) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (* (sqrt 1/2) l) (acos (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ 2 l) (/ (* t t) l)) 1)))) (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ 2 l) (/ (* t t) l)) 1))) (/ (* t t) l))
4.0ms	t	@	-inf	((* (/ Om Omc) (/ Om Omc)) (+ (* (/ (* 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))))) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 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))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (+ (* (/ 2 l) (/ (* t t) l)) 1) (pow (cbrt (PI)) 2) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (/ (* Om Om) Omc) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (* (sqrt 1/2) l) (acos (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ 2 l) (/ (* t t) l)) 1)))) (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ 2 l) (/ (* t t) l)) 1))) (/ (* t t) l))
4.0ms	t	@	0	((* (/ Om Omc) (/ Om Omc)) (+ (* (/ (* 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))))) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 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))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (+ (* (/ 2 l) (/ (* t t) l)) 1) (pow (cbrt (PI)) 2) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (/ (* Om Om) Omc) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (* (sqrt 1/2) l) (acos (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ 2 l) (/ (* t t) l)) 1)))) (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ 2 l) (/ (* t t) l)) 1))) (/ (* t t) l))

simplify192.0ms (1.5%)

Memory

-8.3MiB live, 273.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	751	6493
1	2501	5874
0	8408	5575

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

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

rewrite178.0ms (1.4%)

Memory

8.5MiB live, 291.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	625
0	131	579
1	493	552
2	3516	549
0	10435	521

Stop Event

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

Counts

27 → 677

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64)) (pow.f64 Omc #s(literal -1 binary64)))
(.f64 (pow.f64 Omc #s(literal -2 binary64)) (.f64 Om Om))
(*.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 (neg.f64 Om) Omc))
(.f64 (pow.f64 Omc #s(literal -1 binary64)) (.f64 (/.f64 Om Omc) Om))
(.f64 (.f64 (/.f64 Om Omc) Om) (pow.f64 Omc #s(literal -1 binary64)))
(.f64 (.f64 Om Om) (pow.f64 (/.f64 (pow.f64 Omc #s(literal -1 binary64)) Omc) #s(literal 1 binary64)))
(.f64 (.f64 Om Om) (pow.f64 (pow.f64 Omc #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 Om Om) (pow.f64 (pow.f64 (neg.f64 Omc) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 Om Om) (/.f64 (pow.f64 Omc #s(literal -1 binary64)) Omc))
(.f64 (.f64 Om Om) (pow.f64 Omc #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(*.f64 Om (pow.f64 (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64)))
(.f64 Om (pow.f64 (/.f64 Om (.f64 Omc Omc)) #s(literal 1 binary64)))
(.f64 Om (pow.f64 (pow.f64 (.f64 Omc (/.f64 Omc Om)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 Om (/.f64 (/.f64 Om Omc) Omc))
(.f64 Om (/.f64 Om (.f64 Omc Omc)))
(.f64 Om (pow.f64 (.f64 Omc (/.f64 Omc Om)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 Om Omc)))
(pow.f64 (/.f64 Omc (*.f64 (/.f64 Om Omc) Om)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 Omc Omc) (.f64 Om Om)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 Omc Om) Om) Omc) #s(literal -1 binary64))
(pow.f64 (*.f64 Omc (/.f64 (/.f64 Omc Om) Om)) #s(literal -1 binary64))
(pow.f64 (/.f64 Omc Om) #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 (neg.f64 Om) (/.f64 Om Omc)) (neg.f64 Omc))
(/.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om)) (neg.f64 Omc))
(/.f64 (*.f64 (/.f64 Om Omc) #s(literal 1 binary64)) (/.f64 Omc Om))
(/.f64 (neg.f64 (*.f64 (/.f64 Om Omc) Om)) (neg.f64 Omc))
(/.f64 (.f64 (neg.f64 Om) #s(literal 1 binary64)) (.f64 (neg.f64 Omc) (/.f64 Omc Om)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 Om)) (.f64 (/.f64 Omc Om) (neg.f64 Omc)))
(/.f64 (.f64 #s(literal 1 binary64) Om) (.f64 (/.f64 Omc Om) Omc))
(/.f64 (.f64 Om #s(literal 1 binary64)) (.f64 Omc (/.f64 Omc Om)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 Om Om)) (*.f64 Omc Omc))
(/.f64 (.f64 (neg.f64 Om) Om) (neg.f64 (.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 (/.f64 Om Omc) Om) Omc)
(/.f64 (.f64 Om Om) (.f64 Omc Omc))
(/.f64 #s(literal 1 binary64) (/.f64 Omc (*.f64 (/.f64 Om Omc) Om)))
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(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.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 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))))
(.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 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 (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)) #s(literal 1 binary64))))
(.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 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.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 (pow.f64 (/.f64 (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 -1/4 binary64)) (pow.f64 (/.f64 (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 -1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (neg.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 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 (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 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
(*.f64 #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)))))
(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 (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 -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (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 (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 -1/2 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 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #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 -1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (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 -1 binary64)))) (sqrt.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)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (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 -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 (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) (pow.f64 (/.f64 Om Omc) #s(literal 4 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)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64))) #s(literal 1 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 (.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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 (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)))))))
(/.f64 (sqrt.f64 (neg.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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (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))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)))) (sqrt.f64 (*.f64 (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 4 binary64))) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (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))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (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))))))
(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)))) #s(literal 1/2 binary64)) (.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 (neg.f64 (log1p.f64 (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 (.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 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 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 l #s(literal -1 binary64)) (.f64 t t))
(.f64 (.f64 (neg.f64 t) t) (pow.f64 (neg.f64 l) #s(literal -1 binary64)))
(.f64 (.f64 t t) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (/.f64 t l) t)
(.f64 #s(literal 1 binary64) (.f64 (/.f64 t l) t))
(*.f64 t (/.f64 t l))
(pow.f64 (/.f64 (/.f64 l (*.f64 t t)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (*.f64 t t)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) t)) (neg.f64 (neg.f64 l)))
(/.f64 (.f64 (.f64 t t) #s(literal 1 binary64)) l)
(/.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 l t))
(/.f64 (*.f64 (neg.f64 t) t) (neg.f64 l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 t t))))
(/.f64 (*.f64 t t) l)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (*.f64 t t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t t)))
(/.f64 t (/.f64 l t))
(neg.f64 (/.f64 (*.f64 (neg.f64 t) t) l))
(neg.f64 (/.f64 (*.f64 t t) (neg.f64 l)))
(exp.f64 (.f64 (log.f64 (/.f64 l (.f64 t t))) #s(literal -1 binary64)))

eval117.0ms (0.9%)

Memory: 29.4MiB live, 220.6MiB allocated
Compiler: Compiled 42 738 to 4 187 computations (90.2% saved)

prune92.0ms (0.7%)

Memory

-9.2MiB live, 112.9MiB allocated

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	738	15	753
Fresh	7	9	16
Picked	3	2	5
Done	1	2	3
Total	749	28	777

Accuracy

99.4%

Counts

777 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.3%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.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))))))))
	48.7%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))))))
✓	46.0%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2)))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l) #s(literal 1 binary64))))))))
	44.5%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2)))))) #s(approx (acos (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ 2 l) (/ (* t t) l)) 1)))) (acos.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)))))))))
	47.3%	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l) #s(literal 1 binary64))))))))
	47.7%	(fma.f64 (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l) #s(literal 1 binary64))))))))
	48.5%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
	49.1%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))))))
	49.3%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ ( -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(approx (+ (* (/ -2 l) (/ (* t t) l)) -1) #s(literal -1 binary64))))))))
	77.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
	67.7%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t #s(literal 2 binary64)) (.f64 l l)) t #s(literal 1 binary64))))))
	77.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 t l) (/.f64 #s(literal 2 binary64) l)) t #s(literal 1 binary64))))))
	50.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
✓	46.9%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
	67.5%	(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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
✓	20.1%	(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 (fma.f64 (neg.f64 Om) (/.f64 Om (.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t))))))
	9.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (.f64 Om (/.f64 (neg.f64 Om) (.f64 Omc Omc)))))))
	24.7%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (.f64 l l) t))))))
	51.2%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/.f64 (.f64 l (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) t)))
✓	51.2%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.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)))))))
	51.2%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (/.f64 l t))))
	50.5%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))))))
	48.2%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (.f64 (fma.f64 (/.f64 l (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t))))))
	51.0%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
	49.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 #s(literal -1/2 binary64) (/.f64 Om Omc)) #s(literal 1 binary64)))))
	24.7%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (.f64 Om Om) #s(literal -1/2 binary64) (.f64 Omc Omc)) (*.f64 Omc Omc))))))
	9.2%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc))))))
	21.7%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (.f64 Omc Omc))) (.f64 Om Om))))))

Compiler

Compiled 4 248 to 1 376 computations (67.6% saved)

regimes297.0ms (2.3%)

Memory

-23.2MiB live, 380.9MiB allocated

Counts

65 → 2

Calls

Call 1

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

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

Calls

14 calls:

45.0ms	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
31.0ms	(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))))))
24.0ms	t
24.0ms	(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
22.0ms	Om

Results

Accuracy	Segments	Branch
87.3%	2	`t`
84.2%	2	`l`
80.8%	1	`Om`
80.8%	1	`Omc`
99.1%	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)))))))`
99.1%	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))))))`
99.1%	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)))))`
80.8%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
80.8%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
80.8%	1	`(/.f64 Om Omc)`
99.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
99.1%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
99.1%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
99.1%	2	`(/.f64 t l)`

Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes82.0ms (0.6%)

Memory

29.8MiB live, 111.4MiB 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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (.f64 Om Om) #s(literal -1/2 binary64) (.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 #s(literal -1/2 binary64) (/.f64 Om Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (.f64 Om (/.f64 (neg.f64 Om) (.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (.f64 (neg.f64 Om) Om) (.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.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)))) #s(approx (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (.f64 l l) t))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (.f64 Omc Omc))) (.f64 Om Om))))))
(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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t #s(literal 2 binary64)) (.f64 l l)) t #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) #s(literal 1 binary64))))))
(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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 t l) (/.f64 #s(literal 2 binary64) l)) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (/.f64 #s(literal 1 binary64) (.f64 Omc Omc))) (.f64 Om Om))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(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 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #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 1/2 binary64) (.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.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 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (.f64 (/.f64 (.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ ( -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(approx (+ (* (/ -2 l) (/ (* t t) l)) -1) #s(literal -1 binary64))))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t 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)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t 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 t l)) l) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (.f64 (fma.f64 (/.f64 l (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ ( -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t 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))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (/.f64 l t))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/.f64 (.f64 l (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) t)))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #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 (/.f64 t l) (*.f64 (/.f64 t l) #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))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) (/.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l 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 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))

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

Calls

7 calls:

19.0ms	(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))))))
15.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
10.0ms	(/.f64 t l)
9.0ms	(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
99.1%	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)))))))`
99.1%	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))))))`
99.1%	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)))))`
99.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
99.1%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
99.1%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
99.1%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes130.0ms (1%)

Memory

-10.7MiB live, 99.8MiB 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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (.f64 Om Om) #s(literal -1/2 binary64) (.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 #s(literal -1/2 binary64) (/.f64 Om Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (.f64 Om (/.f64 (neg.f64 Om) (.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (.f64 (neg.f64 Om) Om) (.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.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)))) #s(approx (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (.f64 l l) t))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (.f64 Omc Omc))) (.f64 Om Om))))))
(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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t #s(literal 2 binary64)) (.f64 l l)) t #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) #s(literal 1 binary64))))))
(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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 t l) (/.f64 #s(literal 2 binary64) l)) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (/.f64 #s(literal 1 binary64) (.f64 Omc Omc))) (.f64 Om Om))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(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 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #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 1/2 binary64) (.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.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 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (.f64 (/.f64 (.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ ( -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(approx (+ (* (/ -2 l) (/ (* t t) l)) -1) #s(literal -1 binary64))))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t 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)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t 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 t l)) l) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (.f64 (fma.f64 (/.f64 l (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ ( -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t 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))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (/.f64 l t))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/.f64 (.f64 l (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) t)))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #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)))))))

Outputs

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

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

Calls

7 calls:

62.0ms	(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))))))
17.0ms	(/.f64 t l)
15.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
9.0ms	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
8.0ms	(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)

regimes70.0ms (0.5%)

Memory

-9.5MiB live, 111.5MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

20.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
10.0ms	(/.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)))))
10.0ms	(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)))))))
8.0ms	(/.f64 t l)
7.0ms	(pow.f64 (/.f64 t l) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.7%	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)))))))`
98.7%	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))))))`
98.7%	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)))))`
98.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
98.7%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
98.7%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
98.7%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes54.0ms (0.4%)

Memory

15.4MiB live, 112.2MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

13.0ms	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
9.0ms	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
7.0ms	(/.f64 t l)
6.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
6.0ms	(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
98.5%	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)))))))`
98.5%	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))))))`
98.5%	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)))))`
98.5%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
98.5%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
98.5%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
98.5%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes129.0ms (1%)

Memory

-25.1MiB live, 132.5MiB allocated

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

14 calls:

39.0ms	(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))))))
11.0ms	Omc
10.0ms	l
6.0ms	t
6.0ms	Om

Results

Accuracy	Segments	Branch
77.0%	1	`Omc`
77.0%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
77.0%	1	`Om`
77.0%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
77.0%	1	`(/.f64 Om Omc)`
77.0%	1	`l`
77.0%	1	`t`
77.0%	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)))))))`
77.0%	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))))))`
77.0%	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)))))`
77.0%	1	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
77.0%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
77.0%	1	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
77.0%	1	`(/.f64 t l)`

Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes79.0ms (0.6%)

Memory

-2.7MiB live, 155.8MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

14 calls:

8.0ms	l
8.0ms	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
7.0ms	Omc
6.0ms	(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
6.0ms	t

Results

Accuracy	Segments	Branch
77.0%	1	`l`
77.0%	1	`t`
77.0%	1	`Om`
77.0%	1	`Omc`
77.0%	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)))))))`
77.0%	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))))))`
77.0%	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)))))`
77.0%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
77.0%	1	`(/.f64 t l)`
77.0%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
77.0%	1	`(/.f64 Om Omc)`
77.0%	1	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
77.0%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
77.0%	1	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`

Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes74.0ms (0.6%)

Memory

10.9MiB live, 168.1MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

14 calls:

8.0ms	Omc
8.0ms	l
6.0ms	(/.f64 Om Omc)
6.0ms	(/.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)))))
5.0ms	t

Results

Accuracy	Segments	Branch
73.1%	2	`l`
73.2%	2	`t`
67.7%	1	`Om`
67.7%	1	`Omc`
72.0%	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)))))))`
72.0%	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))))))`
72.0%	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)))))`
67.7%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
72.0%	2	`(/.f64 t l)`
67.7%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
69.3%	2	`(/.f64 Om Omc)`
72.0%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
72.0%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
72.0%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`

Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes16.0ms (0.1%)

Memory

4.2MiB live, 43.7MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

5.0ms	l
5.0ms	t
4.0ms	(/.f64 t l)

Results

Accuracy	Segments	Branch
72.0%	2	`(/.f64 t l)`
67.7%	1	`l`
71.4%	2	`t`

Compiler

Compiled 5 to 13 computations (-160% saved)

regimes94.0ms (0.7%)

Memory

-7.0MiB live, 72.3MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

Calls

14 calls:

33.0ms	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
25.0ms	l
3.0ms	t
3.0ms	Om
3.0ms	Omc

Results

Accuracy	Segments	Branch
50.0%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
52.2%	2	`l`
50.0%	1	`Om`
50.0%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
50.0%	1	`Omc`
50.0%	1	`(/.f64 Om Omc)`
54.5%	2	`t`
56.3%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
56.3%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
56.3%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
56.3%	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)))))))`
56.3%	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))))))`
56.3%	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)))))`
56.4%	2	`(/.f64 t l)`

Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes25.0ms (0.2%)

Memory

-4.4MiB live, 39.2MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

8.0ms	(/.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)))))
3.0ms	(/.f64 t l)
3.0ms	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
3.0ms	(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))))))
3.0ms	(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
56.0%	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)))))))`
56.0%	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))))))`
56.0%	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)))))`
56.0%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
56.0%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
56.0%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
56.2%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes14.0ms (0.1%)

Memory

26.0MiB live, 26.1MiB 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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (.f64 Om Om) #s(literal -1/2 binary64) (.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 #s(literal -1/2 binary64) (/.f64 Om Omc)) #s(literal 1 binary64)))))

Outputs

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

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

Calls

7 calls:

2.0ms	(/.f64 t l)
2.0ms	(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))))))
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 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
55.9%	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)))))))`
55.9%	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))))))`
55.9%	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)))))`
55.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
55.9%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
55.9%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
56.0%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes17.0ms (0.1%)

Memory

-6.9MiB live, 32.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

9 calls:

3.0ms	(/.f64 t l)
2.0ms	t
2.0ms	l
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	(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
47.4%	2	`l`
49.4%	2	`t`
51.8%	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)))))))`
51.8%	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))))))`
51.8%	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)))))`
51.8%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
51.8%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
51.8%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
51.8%	2	`(/.f64 t l)`

Compiler

Compiled 80 to 83 computations (-3.8% saved)

regimes21.0ms (0.2%)

Memory

4.5MiB live, 42.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

14 calls:

2.0ms	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
1.0ms	l
1.0ms	Om
1.0ms	(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)))))))
1.0ms	Omc

Results

Accuracy	Segments	Branch
28.9%	2	`l`
29.4%	2	`t`
24.7%	1	`Om`
24.7%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
24.7%	1	`(/.f64 Om Omc)`
24.7%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
29.2%	2	`Omc`
31.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
31.7%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
31.7%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
31.7%	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)))))))`
31.7%	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))))))`
31.7%	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)))))`
31.7%	2	`(/.f64 t l)`

Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes18.0ms (0.1%)

Memory

6.0MiB live, 43.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

14 calls:

3.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
1.0ms	(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)))))))
1.0ms	(/.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)))))
1.0ms	(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))))))
1.0ms	Om

Results

Accuracy	Segments	Branch
9.2%	1	`Om`
9.2%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
9.2%	1	`(/.f64 Om Omc)`
9.2%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
9.2%	1	`l`
9.2%	1	`Omc`
9.2%	1	`t`
9.2%	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)))))))`
9.2%	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))))))`
9.2%	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)))))`
9.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
9.2%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
9.2%	1	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
9.2%	1	`(/.f64 t l)`

Compiler

Compiled 97 to 112 computations (-15.5% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	522479657037709.44	12212899790876035000.0

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	522479657037709.44	12212899790876035000.0

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	522479657037709.44	12212899790876035000.0

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	522479657037709.44	12212899790876035000.0

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	522479657037709.44	12212899790876035000.0

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch12.0ms (0.1%)

Memory

-32.9MiB live, 13.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
11.0ms	1.9907234514787325e+153	1.4405762278696487e+158

Samples

7.0ms	38×	0	valid
2.0ms	10×	1	valid

Compiler

Compiled 220 to 173 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-pow2: 4.0ms (54.6% of total)

ival-div: 1.0ms (13.6% of total)

ival-asin: 1.0ms (13.6% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5555978.9783887975	69900521.47024712

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch21.0ms (0.2%)

Memory

22.8MiB live, 22.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.478678074145332e+221	1.8936166340400628e+228

Samples

13.0ms

144×

valid

Compiler

Compiled 652 to 473 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-pow2: 3.0ms (33.2% of total)

ival-div: 2.0ms (22.1% of total)

ival-add: 1.0ms (11.1% of total)

ival-mult: 1.0ms (11.1% of total)

ival-asin: 1.0ms (11.1% of total)

ival-sub: 1.0ms (11.1% of total)

ival-sqrt: 1.0ms (11.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.478678074145332e+221	1.8936166340400628e+228

Compiler

Compiled 868 to 572 computations (34.1% saved)

bsearch47.0ms (0.4%)

Memory

-19.7MiB live, 19.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	2.01829371601043e+189	1.2598968575504124e+192

Samples

12.0ms

128×

valid

Compiler

Compiled 990 to 599 computations (39.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 2.0ms (24.5% of total)

ival-pow2: 2.0ms (24.5% of total)

ival-add: 1.0ms (12.3% of total)

ival-mult: 1.0ms (12.3% of total)

ival-asin: 1.0ms (12.3% of total)

ival-sub: 1.0ms (12.3% of total)

ival-sqrt: 1.0ms (12.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.0876209679844694e+163	8.397883450544867e+166

Samples

12.0ms

128×

valid

Compiler

Compiled 990 to 607 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 2.0ms (25.2% of total)

ival-pow2: 2.0ms (25.2% of total)

ival-add: 1.0ms (12.6% of total)

ival-mult: 1.0ms (12.6% of total)

ival-asin: 1.0ms (12.6% of total)

ival-sub: 1.0ms (12.6% of total)

ival-sqrt: 1.0ms (12.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory

-11.1MiB live, 27.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	9.437084597677839e+30	7.160795365546936e+32

Samples

10.0ms

112×

valid

Compiler

Compiled 967 to 569 computations (41.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (27.9% of total)

ival-pow2: 2.0ms (27.9% of total)

ival-add: 1.0ms (14% of total)

ival-mult: 1.0ms (14% of total)

ival-asin: 1.0ms (14% of total)

ival-sub: 1.0ms (14% of total)

ival-sqrt: 1.0ms (14% of total)

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

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

exact: 0.0ms (0% of total)

simplify67.0ms (0.5%)

Memory

-3.1MiB live, 75.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	185	1217
1	276	1180
2	455	1180
3	861	1180
4	2249	1180
5	5364	1180

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 t l) #s(literal 1000000000000000 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (neg.f64 t) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.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))))))))
(if (<=.f64 (/.f64 t l) #s(literal 1000000000000000 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) (.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))))))))
(if (<=.f64 (/.f64 t l) #s(literal 1000000000000000 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t 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 t l)) l) t #s(literal 1 binary64))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) (.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))))))))
(if (<=.f64 (/.f64 t l) #s(literal 1000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 t l) (/.f64 #s(literal 2 binary64) l)) t #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) (.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))))))))
(if (<=.f64 (/.f64 t l) #s(literal 1000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 t l) (/.f64 #s(literal 2 binary64) l)) t #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 t l) (/.f64 #s(literal 2 binary64) l)) t #s(literal 1 binary64))))))
(if (<=.f64 t #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (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 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l) #s(literal 1 binary64)))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t #s(literal 2 binary64)) (.f64 l l)) t #s(literal 1 binary64)))))))
(if (<=.f64 (/.f64 t l) #s(literal 10000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.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)))) #s(approx (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (.f64 l l) t)))))))
(if (<=.f64 (/.f64 t l) #s(literal 5200000000000000242329397309067627355706446211736759679389098381697150462880048757778392103513817704069376678299124547299649760663235870075075234906961745891054636662310044353877333470654287239297590626012113262478645788672 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.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)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (.f64 Om (/.f64 (neg.f64 Om) (.f64 Omc Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 5200000000000000242329397309067627355706446211736759679389098381697150462880048757778392103513817704069376678299124547299649760663235870075075234906961745891054636662310044353877333470654287239297590626012113262478645788672 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (.f64 #s(literal -1/2 binary64) (/.f64 Om Omc)) #s(literal 1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (.f64 Om (/.f64 (neg.f64 Om) (.f64 Omc Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 2800000000000000064660655647554040337003547029584757971205580818833558131102481528824133031230262131110190679227124007750477732316780445819252883206630332519993688008050579816525106675449856 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (.f64 #s(literal -1/2 binary64) (/.f64 Om Omc)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc)))))))
(if (<=.f64 (/.f64 t l) #s(literal 185000000000000002887256152907625733499747189383119414184049424845883947052232795414891239419827943787327019146621432510071266119814818429340425065490205700614258688 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc)))))))
(if (<=.f64 (/.f64 t l) #s(literal 400000000000000021464648817573888 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (.f64 Om Om) #s(literal -1/2 binary64) (.f64 Omc Omc)) (.f64 Omc Omc)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc))))))

Outputs
(if (<=.f64 (/.f64 t l) #s(literal 1000000000000000 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (neg.f64 t) (.f64 (/.f64 #s(literal -1 binary64) l) (.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.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))))))))
(if (<=.f64 (/.f64 t l) #s(literal 1000000000000000 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) (.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))))))))
(if (<=.f64 (/.f64 t l) #s(literal 1000000000000000 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t 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 t l)) l) t #s(literal 1 binary64))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) (.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))))))))
(if (<=.f64 (/.f64 t l) #s(literal 1000000000000000 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)) #s(literal -1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) (.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))))))))
(if (<=.f64 (/.f64 t l) #s(literal 1000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 t l) (/.f64 #s(literal 2 binary64) l)) t #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) (.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))))))))
(if (<=.f64 (/.f64 t l) #s(literal 1000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow.f64 (fma.f64 (.f64 (/.f64 t l) (/.f64 #s(literal 2 binary64) l)) t #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) (.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))))))))
(if (<=.f64 (/.f64 t l) #s(literal 1000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 t l) (/.f64 #s(literal 2 binary64) l)) t #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 1000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow.f64 (fma.f64 (.f64 (/.f64 t l) (/.f64 #s(literal 2 binary64) l)) t #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)) #s(literal -1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 t l) (/.f64 #s(literal 2 binary64) l)) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow.f64 (fma.f64 (*.f64 (/.f64 t l) (/.f64 #s(literal 2 binary64) l)) t #s(literal 1 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 t #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (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 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l) #s(literal 1 binary64)))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 t #s(literal 2 binary64)) (.f64 l l)) t #s(literal 1 binary64)))))))
(if (<=.f64 t #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l) #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1)) (pow.f64 (fma.f64 (/.f64 (.f64 t #s(literal 2 binary64)) (.f64 l l)) t #s(literal 1 binary64)) #s(literal -1 binary64))))))
(if (<=.f64 (/.f64 t l) #s(literal 10000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.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)))) #s(approx (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (.f64 l l) t)))))))
(if (<=.f64 (/.f64 t l) #s(literal 10000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1)) #s(approx (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (.f64 l l) t)))))))
(if (<=.f64 (/.f64 t l) #s(literal 5200000000000000242329397309067627355706446211736759679389098381697150462880048757778392103513817704069376678299124547299649760663235870075075234906961745891054636662310044353877333470654287239297590626012113262478645788672 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.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)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (.f64 Om (/.f64 (neg.f64 Om) (.f64 Omc Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 5200000000000000242329397309067627355706446211736759679389098381697150462880048757778392103513817704069376678299124547299649760663235870075075234906961745891054636662310044353877333470654287239297590626012113262478645788672 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1)) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (.f64 (neg.f64 Om) (/.f64 Om (.f64 Omc Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 5200000000000000242329397309067627355706446211736759679389098381697150462880048757778392103513817704069376678299124547299649760663235870075075234906961745891054636662310044353877333470654287239297590626012113262478645788672 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (.f64 #s(literal -1/2 binary64) (/.f64 Om Omc)) #s(literal 1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (.f64 Om (/.f64 (neg.f64 Om) (.f64 Omc Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 5200000000000000242329397309067627355706446211736759679389098381697150462880048757778392103513817704069376678299124547299649760663235870075075234906961745891054636662310044353877333470654287239297590626012113262478645788672 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (.f64 #s(literal -1/2 binary64) (/.f64 Om Omc)) #s(literal 1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1)) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (.f64 (neg.f64 Om) (/.f64 Om (.f64 Omc Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 2800000000000000064660655647554040337003547029584757971205580818833558131102481528824133031230262131110190679227124007750477732316780445819252883206630332519993688008050579816525106675449856 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (.f64 #s(literal -1/2 binary64) (/.f64 Om Omc)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc)))))))
(if (<=.f64 (/.f64 t l) #s(literal 2800000000000000064660655647554040337003547029584757971205580818833558131102481528824133031230262131110190679227124007750477732316780445819252883206630332519993688008050579816525106675449856 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (.f64 #s(literal -1/2 binary64) (/.f64 Om Omc)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc)))))))
(if (<=.f64 (/.f64 t l) #s(literal 185000000000000002887256152907625733499747189383119414184049424845883947052232795414891239419827943787327019146621432510071266119814818429340425065490205700614258688 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc)))))))
(if (<=.f64 (/.f64 t l) #s(literal 185000000000000002887256152907625733499747189383119414184049424845883947052232795414891239419827943787327019146621432510071266119814818429340425065490205700614258688 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc)))))))
(if (<=.f64 (/.f64 t l) #s(literal 400000000000000021464648817573888 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (.f64 Om Om) #s(literal -1/2 binary64) (.f64 Omc Omc)) (.f64 Omc Omc)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc)))))))
(if (<=.f64 (/.f64 t l) #s(literal 400000000000000021464648817573888 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (.f64 Om Om) #s(literal -1/2 binary64) (.f64 Omc Omc)) (.f64 Omc Omc)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc))))))

soundness1.7s (13.5%)

Memory

18.4MiB live, 1 279.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	390	3480
1	1207	2950
2	4656	2741
0	8195	2625
0	82	642
0	135	602
1	480	566
2	3637	566
0	9245	560
0	16	68
0	26	68
1	100	68
2	734	68
3	7742	68
0	9001	64
0	823	7332
1	2593	6272
0	8354	5912
0	751	6493
1	2501	5874
0	8408	5575
0	901	8316
1	2900	7249
0	9259	6822
0	80	625
0	131	579
1	493	552
2	3516	549
0	10435	521
0	64	462
0	114	431
1	423	408
2	3270	408
0	9056	390

Stop Event

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

Compiler

Compiled 2 357 to 1 007 computations (57.3% saved)

preprocess194.0ms (1.5%)

Memory

22.9MiB live, 210.9MiB allocated

Remove

(abs Om)

(abs Omc)

Compiler

Compiled 5 868 to 2 466 computations (58% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze525.0ms (4.1%)

sample4.1s (31.6%)

explain285.0ms (2.2%)

preprocess157.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify119.0ms (0.9%)

localize75.0ms (0.6%)

series48.0ms (0.4%)

simplify218.0ms (1.7%)

rewrite216.0ms (1.7%)

eval79.0ms (0.6%)

prune25.0ms (0.2%)

simplify147.0ms (1.1%)

localize343.0ms (2.7%)

series61.0ms (0.5%)

simplify171.0ms (1.3%)

rewrite207.0ms (1.6%)

eval167.0ms (1.3%)

prune68.0ms (0.5%)

simplify121.0ms (0.9%)

localize434.0ms (3.4%)

series67.0ms (0.5%)

simplify225.0ms (1.7%)

rewrite177.0ms (1.4%)

eval286.0ms (2.2%)

prune53.0ms (0.4%)

simplify151.0ms (1.2%)

localize475.0ms (3.7%)

series65.0ms (0.5%)

simplify192.0ms (1.5%)

rewrite178.0ms (1.4%)

eval117.0ms (0.9%)

prune92.0ms (0.7%)

regimes297.0ms (2.3%)

regimes82.0ms (0.6%)

regimes130.0ms (1%)

regimes70.0ms (0.5%)

regimes54.0ms (0.4%)

regimes129.0ms (1%)

regimes79.0ms (0.6%)

regimes74.0ms (0.6%)

regimes16.0ms (0.1%)

regimes94.0ms (0.7%)

regimes25.0ms (0.2%)

regimes14.0ms (0.1%)

regimes17.0ms (0.1%)

regimes21.0ms (0.2%)

regimes18.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

bsearch0.0ms (0%)

bsearch21.0ms (0.2%)

bsearch2.0ms (0%)

bsearch47.0ms (0.4%)

bsearch20.0ms (0.2%)

bsearch24.0ms (0.2%)

simplify67.0ms (0.5%)

soundness1.7s (13.5%)

preprocess194.0ms (1.5%)

end0.0ms (0%)

Profiling