Metrics for Toniolo and Linder, Equation (2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze450.0ms (3.8%)

Memory

6.7MiB live, 609.8MiB 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)

sample4.3s (35.5%)

Memory

-107.4MiB live, 4 115.1MiB allocated

Samples

1.3s	3 831×	1	valid
1.1s	7 255×	0	invalid
932.0ms	4 425×	0	valid

Precisions

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

ival-pow2: 596.0ms (27.7% of total)

ival-div: 575.0ms (26.7% of total)

ival-sqrt: 199.0ms (9.2% of total)

ival-asin: 176.0ms (8.2% of total)

ival-add: 147.0ms (6.8% of total)

ival-sub: 142.0ms (6.6% of total)

ival-mult: 140.0ms (6.5% of total)

adjust: 139.0ms (6.5% of total)

exact: 18.0ms (0.8% of total)

ival-true: 15.0ms (0.7% of total)

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

Bogosity

explain255.0ms (2.1%)

Memory

30.1MiB live, 433.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
35	1	(-1.3786736545493887e+216 -1.4855242624970523e-106 -4.1594471636492724e-300 2.5999644083919953e+238)	3	(-1.1776936734695214e+31 1.2495771961648474e-127 -1.8296504325005823e+131 7.157231173590501e+209)	`(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	126	(-3.8488838133372977e+37 1.7475269445679608e+62 2.2994734124656047e-80 7597.008595118596)	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)))))))`
3	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	135	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	33	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	63
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`	underflow	78
↳	`(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	30
↳	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`	underflow	78
↳	`(/.f64 t l)`	underflow	27
↳	`(/.f64 Om Omc)`	underflow	62
↳	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`	underflow	145
`/.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	3	0
↳	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`	overflow	66
↳	`(/.f64 t l)`	overflow	37
↳	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`	overflow	66
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`	overflow	66

Confusion

	Predicted +	Predicted -
+	44	0
-	127	85

Precision

0.2573099415204678

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	44	0	0
-	127	0	85

Precision?

0.2573099415204678

Recall?

1.0

Freqs

test

number	freq
0	85
1	171

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms	258×	1	valid
34.0ms	254×	0	valid

Compiler

Compiled 320 to 68 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 21.0ms (28.2% of total)

ival-pow2: 17.0ms (22.8% of total)

ival-asin: 10.0ms (13.4% of total)

adjust: 6.0ms (8.1% of total)

ival-sqrt: 6.0ms (8.1% of total)

ival-sub: 5.0ms (6.7% of total)

ival-mult: 5.0ms (6.7% of total)

ival-add: 4.0ms (5.4% of total)

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

exact: 1.0ms (1.3% of total)

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

preprocess178.0ms (1.5%)

Memory

-20.3MiB live, 213.2MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))

Status

Accuracy

Program

▶

87.5%

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

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify106.0ms (0.9%)

Memory

27.8MiB live, 103.7MiB 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	128	(+.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

localize92.0ms (0.8%)

Memory

-24.1MiB live, 134.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.22269681216077208	(/.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	0.23046875	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
accuracy	0.5076384855936644	(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	7.18564952260833	(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

48.0ms	129×	1	valid
30.0ms	127×	0	valid

Compiler

Compiled 200 to 34 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-asin: 22.0ms (34.9% of total)

ival-pow2: 17.0ms (26.9% of total)

ival-div: 11.0ms (17.4% of total)

adjust: 3.0ms (4.8% of total)

ival-sqrt: 3.0ms (4.8% of total)

ival-sub: 2.0ms (3.2% of total)

ival-add: 2.0ms (3.2% of total)

ival-mult: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.4%)

Memory

-6.5MiB live, 57.6MiB 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 t l) #s(literal 2 binary64))

Outputs
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(/ (pow t 2) (pow l 2))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(* (/ (* 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	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 (/ t l) 2))
4.0ms	t	@	inf	((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ t l) 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 (/ t l) 2))
3.0ms	l	@	0	((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ t l) 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 (/ t l) 2))

simplify163.0ms (1.4%)

Memory

-4.8MiB live, 220.7MiB 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)))
(/ (pow t 2) (pow l 2))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(* (/ (* 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)))
(/ (pow t 2) (pow l 2))
(*.f64 (/.f64 t l) (/.f64 t l))
(* 2 (/ (pow t 2) (pow l 2)))
(.f64 (.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t)
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (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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(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
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(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
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(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
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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)))))))))
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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)))
(* (/ (* 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 (1.8%)

Memory

15.3MiB live, 292.6MiB 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 → 476

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 t l) #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 t l) (neg.f64 l)) (neg.f64 t))
(.f64 (.f64 (*.f64 (/.f64 t l) t) #s(literal 1 binary64)) (pow.f64 l #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 t l) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l)))
(*.f64 (/.f64 (/.f64 t l) #s(literal 1 binary64)) (/.f64 t l))
(.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (.f64 (pow.f64 l #s(literal -2 binary64)) t))
(*.f64 (/.f64 (/.f64 t l) #s(literal -1 binary64)) (/.f64 (neg.f64 t) l))
(*.f64 (/.f64 (sqrt.f64 (/.f64 t l)) l) (/.f64 (sqrt.f64 (/.f64 t l)) (pow.f64 t #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 (/.f64 t l) t) #s(literal 1 binary64)) (pow.f64 l #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 t t) #s(literal 1 binary64)) (pow.f64 (pow.f64 l #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (neg.f64 t) l) t) (/.f64 #s(literal -1 binary64) l))
(.f64 (.f64 (pow.f64 l #s(literal -2 binary64)) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -1 binary64))))
(.f64 (.f64 (pow.f64 l #s(literal -2 binary64)) t) t)
(.f64 (.f64 (/.f64 t l) t) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 t) l) (/.f64 (/.f64 #s(literal -1 binary64) l) (pow.f64 t #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 t) l) (/.f64 (neg.f64 t) l))
(*.f64 (sqrt.f64 (/.f64 t l)) (/.f64 (sqrt.f64 (/.f64 t l)) (/.f64 l t)))
(.f64 (sqrt.f64 (/.f64 t l)) (.f64 (sqrt.f64 (/.f64 t l)) (/.f64 t l)))
(.f64 (.f64 (neg.f64 t) t) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 l) l)))
(.f64 (.f64 t t) (*.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 #s(literal -1 binary64) l)))
(.f64 (.f64 t t) (/.f64 #s(literal 1 binary64) (*.f64 l l)))
(.f64 (.f64 t t) (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 2 binary64)))
(.f64 (.f64 t t) (pow.f64 l #s(literal -2 binary64)))
(*.f64 (pow.f64 l #s(literal -2 binary64)) (/.f64 t (pow.f64 t #s(literal -1 binary64))))
(.f64 (pow.f64 l #s(literal -2 binary64)) (.f64 t t))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (/.f64 (/.f64 t l) (pow.f64 t #s(literal -1 binary64))))
(.f64 (pow.f64 l #s(literal -1 binary64)) (.f64 (/.f64 t l) t))
(.f64 (neg.f64 t) (/.f64 (neg.f64 t) (.f64 l l)))
(.f64 (neg.f64 t) (/.f64 t (.f64 (neg.f64 l) l)))
(*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))
(*.f64 (neg.f64 t) (/.f64 (/.f64 t l) (neg.f64 l)))
(.f64 (neg.f64 t) (.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 t l)))
(.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 l t) (neg.f64 l))))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 t l) (/.f64 t l))
(.f64 t (/.f64 (neg.f64 t) (.f64 (neg.f64 l) l)))
(.f64 t (/.f64 t (.f64 l l)))
(.f64 t (.f64 t (pow.f64 l #s(literal -2 binary64))))
(.f64 t (/.f64 #s(literal 1 binary64) (.f64 (/.f64 l t) l)))
(.f64 t (pow.f64 (.f64 (pow.f64 l #s(literal -2 binary64)) t) #s(literal 1 binary64)))
(.f64 t (.f64 (pow.f64 l #s(literal -2 binary64)) t))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 t l)))
(pow.f64 (pow.f64 (/.f64 l t) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l t) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 (neg.f64 t) l) t) #s(literal -1 binary64)) l)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) t)) (*.f64 (neg.f64 l) l))
(/.f64 (.f64 (.f64 (/.f64 t l) t) #s(literal -1 binary64)) (neg.f64 l))
(/.f64 (.f64 (.f64 (/.f64 t l) t) #s(literal 1 binary64)) l)
(/.f64 (*.f64 (/.f64 t l) #s(literal -1 binary64)) (/.f64 (neg.f64 l) t))
(/.f64 (*.f64 (/.f64 (neg.f64 t) l) t) (neg.f64 l))
(/.f64 (*.f64 (pow.f64 l #s(literal -2 binary64)) t) (pow.f64 t #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 t l) t) l)
(/.f64 (/.f64 (neg.f64 t) l) (/.f64 (neg.f64 l) t))
(/.f64 (.f64 (neg.f64 t) t) (.f64 (neg.f64 l) l))
(/.f64 (.f64 t t) (.f64 l l))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 l t) #s(literal 2 binary64))))
(/.f64 (neg.f64 t) (*.f64 (/.f64 l t) (neg.f64 l)))
(/.f64 (/.f64 t l) (/.f64 l t))
(/.f64 t (neg.f64 (*.f64 (/.f64 l t) (neg.f64 l))))
(/.f64 t (*.f64 (/.f64 l t) l))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 l) (*.f64 (/.f64 (neg.f64 t) l) t)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (/.f64 t l) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 l) l) (.f64 (neg.f64 t) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 l l) (.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 l t) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 l t) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 t l)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 t l)) #s(literal 2 binary64)))

eval122.0ms (1%)

Memory: 19.8MiB live, 219.5MiB allocated
Compiler: Compiled 20 094 to 2 619 computations (87% saved)

prune27.0ms (0.2%)

Memory

-26.8MiB live, 56.1MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	521	13	534
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	522	13	535

Accuracy

98.8%

Counts

535 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.5%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (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)))))))
	52.9%	(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)))))))
	67.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.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 #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 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 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 3 binary64)))))
	67.5%	(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 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 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.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 #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))))))))))
▶	87.5%	(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)))))
▶	87.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
	53.9%	(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)))))
▶	50.7%	(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)))))
	74.2%	(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))))))
▶	22.2%	(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))))))
	74.3%	(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 l l)) t) t #s(literal 1 binary64)))))))
	44.0%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))))
	39.8%	(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 988 to 658 computations (33.4% saved)

simplify131.0ms (1.1%)

Memory

9.5MiB live, 165.6MiB 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	19584	(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)))))))
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) (/.f64 (/.f64 t l) (/.f64 l t)))))
cost-diff	0	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))))
cost-diff	0	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))
cost-diff	0	#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	(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	128	(.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	(neg.f64 Om)
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	0	(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 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)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	647
0	105	635
1	175	607
2	334	607
3	728	607
4	1898	593
5	4798	593
0	8513	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 (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
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))
(/.f64 (/.f64 t l) (/.f64 l t))
(/.f64 t l)
t
l
(/.f64 l 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 (/.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 (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 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 (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)))))
(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 (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) (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 (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 #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 (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 l (/.f64 (/.f64 l t) t)) (fma.f64 #s(literal -1/2 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 (.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 l (/.f64 (/.f64 l t) t)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
#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 l (/.f64 (/.f64 l t) t)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1/2 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)))
(.f64 (.f64 l (/.f64 (/.f64 l t) t)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.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 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) 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
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
(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)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))))
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))
(/.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 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 t l) (/.f64 l t))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l
(/.f64 l 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 (/.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 (PI.f64) #s(literal 1/2 binary64)) (acos.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))))))
(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 (/.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 (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))))))
(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 (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 (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 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 (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 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)

localize355.0ms (3%)

Memory

-6.9MiB live, 542.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	7.18564952260833	(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	28.321470913674833	(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)))))))
accuracy	30.842950073007486	(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	0.19597626953688402	(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy	0.22269681216077208	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))
accuracy	0.5076384855936644	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
accuracy	7.18564952260833	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))))
accuracy	7.18564952260833	(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	8.606392576927165	(/.f64 Om (*.f64 Omc Omc))
accuracy	15.149386852234217	(.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	32.549052561079826	#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	0.5076384855936644	(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	7.18564952260833	(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	8.606392576927165	(/.f64 Om (*.f64 Omc Omc))
accuracy	29.259829060785535	#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	0.19597626953688402	(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy	0.22269681216077208	(/.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	0.5076384855936644	(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	7.18564952260833	(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

141.0ms	154×	1	valid
129.0ms	97×	2	valid
2.0ms	5×	0	valid

Compiler

Compiled 1 221 to 119 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-div: 34.0ms (16.1% of total)

ival-mult: 34.0ms (16.1% of total)

adjust: 31.0ms (14.7% of total)

ival-pow2: 20.0ms (9.5% of total)

ival-sqrt: 18.0ms (8.5% of total)

ival-asin: 18.0ms (8.5% of total)

ival-add: 17.0ms (8.1% of total)

ival-acos: 14.0ms (6.6% of total)

ival-neg: 11.0ms (5.2% of total)

ival-sub: 6.0ms (2.8% of total)

ival-cbrt: 4.0ms (1.9% of total)

ival-pi: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series71.0ms (0.6%)

Memory

39.6MiB live, 76.1MiB allocated

Counts

24 → 110

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)))
(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)))
(neg.f64 Om)
(.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)))))
#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 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l 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) (/.f64 (/.f64 t l) (/.f64 l t)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l 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 (/.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)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om (*.f64 Omc Omc))
(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
(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
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))
(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))))))))))
(* (/ (* 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))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (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)))))))))
(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) (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) (* (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)) (pow l 2)) (pow l 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)))))
(+ (* -1/2 (* (/ (+ (* 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))))
(* -1 Om)
(* 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))
(/ 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))))
(* -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))))))
(* (/ 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))
(/ (- (pow Omc 2) (pow Om 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))
(/ (+ (* -1/2 (* (/ (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
17.0ms	Om	@	inf	((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)) (- 1 (pow (/ Om Omc) 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)))) (neg Om) (* (* 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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ 1 (* 2 (/ (/ t l) (/ l t)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t)))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (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))))
8.0ms	t	@	0	((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)) (- 1 (pow (/ Om Omc) 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)))) (neg Om) (* (* 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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ 1 (* 2 (/ (/ t l) (/ l t)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t)))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (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))))
7.0ms	t	@	inf	((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)) (- 1 (pow (/ Om Omc) 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)))) (neg Om) (* (* 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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ 1 (* 2 (/ (/ t l) (/ l t)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t)))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (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	((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)) (- 1 (pow (/ Om Omc) 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)))) (neg Om) (* (* 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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ 1 (* 2 (/ (/ t l) (/ l t)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t)))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (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	Om	@	0	((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)) (- 1 (pow (/ Om Omc) 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)))) (neg Om) (* (* 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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ 1 (* 2 (/ (/ t l) (/ l t)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t)))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (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))))

simplify189.0ms (1.6%)

Memory

-15.6MiB live, 183.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	691	6537
1	2176	5524
0	8163	5214

Stop Event

1×	iter limit
1×	node limit

Counts

110 → 110

Calls

Call 1

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

rewrite177.0ms (1.5%)

Memory

4.6MiB live, 278.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	434
0	105	417
1	382	399
2	2547	399
0	8368	385

Stop Event

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

Counts

24 → 628

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

eval134.0ms (1.1%)

Memory: 31.6MiB live, 259.4MiB allocated
Compiler: Compiled 33 152 to 3 896 computations (88.2% saved)

prune31.0ms (0.3%)

Memory

-40.6MiB live, 85.7MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	843	14	857
Fresh	6	2	8
Picked	3	2	5
Done	0	0	0
Total	852	18	870

Accuracy

99.2%

Counts

870 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(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 (/.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)))))))
	53.7%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) #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)))))))
▶	52.5%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #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))))))))
	52.7%	(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 (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))))))))
	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 #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))))))))
▶	53.1%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.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))))))))
▶	78.0%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
	77.9%	(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) (/.f64 (/.f64 t l) (/.f64 l t)))))))
	74.2%	(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))))))
▶	53.9%	(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))))))
✓	50.7%	(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)))))
✓	22.2%	(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))))))
	26.5%	(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))))))
	74.3%	(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 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))))))
	51.9%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.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)))))))
▶	46.7%	(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)))))))
	44.0%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))))
	39.8%	(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 1 258 to 922 computations (26.7% saved)

simplify114.0ms (0.9%)

Memory

25.7MiB live, 141.5MiB 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	19584	(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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #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))))))))
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	1600	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.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	(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
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	0	(-.f64 #s(literal 1 binary64) (*.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) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
cost-diff	0	(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)))))
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) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (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) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (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) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (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	68	699
0	117	658
1	185	648
2	294	648
3	476	648
4	791	648
5	1556	648
6	3898	648
7	6000	648
0	8077	634

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

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

localize501.0ms (4.2%)

Memory

-20.6MiB live, 460.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0	(cbrt.f64 (PI.f64))
accuracy	6.7628923068298015	(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #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))))
accuracy	28.321470913674833	(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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #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))))))))
accuracy	30.842950073007486	(acos.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #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))))))
accuracy	7.18564952260833	(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	28.85689443077578	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.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	29.259829060785535	#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	30.842950073007486	(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	0.203125	(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
accuracy	0.41015625	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
accuracy	0.5076384855936644	(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	32.2460441583112	#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	0.19597626953688402	(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
accuracy	0.5076384855936644	(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))))))
accuracy	7.18564952260833	(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)))))
accuracy	29.259829060785535	#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))))
accuracy	0.22269681216077208	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy	0.5076384855936644	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
accuracy	7.18564952260833	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
accuracy	15.574767080767733	(/.f64 (.f64 Om Om) (.f64 Omc Omc))

Samples

210.0ms	97×	2	valid
183.0ms	154×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 1 317 to 132 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 294.0ms

adjust: 65.0ms (22.1% of total)

ival-mult: 40.0ms (13.6% of total)

ival-div: 35.0ms (11.9% of total)

ival-pi: 29.0ms (9.9% of total)

ival-sqrt: 27.0ms (9.2% of total)

ival-acos: 26.0ms (8.9% of total)

ival-pow2: 17.0ms (5.8% of total)

ival-add: 14.0ms (4.8% of total)

ival-sub: 12.0ms (4.1% of total)

ival-asin: 12.0ms (4.1% of total)

ival-pow: 6.0ms (2% of total)

ival-neg: 5.0ms (1.7% of total)

ival-cbrt: 4.0ms (1.4% of total)

exact: 1.0ms (0.3% of total)

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

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

series107.0ms (0.9%)

Memory

22.3MiB live, 63.9MiB allocated

Counts

27 → 119

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
49.0ms	Om	@	0	((asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (/ (* Om Om) (* Omc Omc))) (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)) (- 1 (* (/ Om Omc) (/ Om Omc))) (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))))) (/ (* (sqrt 1/2) l) t) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (* Om Om) (* Omc Omc)) (* (/ Om Omc) (/ Om Omc)) (* (sqrt 1/2) l) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))) (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))
11.0ms	t	@	inf	((asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (/ (* Om Om) (* Omc Omc))) (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)) (- 1 (* (/ Om Omc) (/ Om Omc))) (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))))) (/ (* (sqrt 1/2) l) t) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (* Om Om) (* Omc Omc)) (* (/ Om Omc) (/ Om Omc)) (* (sqrt 1/2) l) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))) (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))
7.0ms	Om	@	inf	((asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (/ (* Om Om) (* Omc Omc))) (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)) (- 1 (* (/ Om Omc) (/ Om Omc))) (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))))) (/ (* (sqrt 1/2) l) t) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (* Om Om) (* Omc Omc)) (* (/ Om Omc) (/ Om Omc)) (* (sqrt 1/2) l) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))) (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))
4.0ms	Omc	@	0	((asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (/ (* Om Om) (* Omc Omc))) (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)) (- 1 (* (/ Om Omc) (/ Om Omc))) (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))))) (/ (* (sqrt 1/2) l) t) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (* Om Om) (* Omc Omc)) (* (/ Om Omc) (/ Om Omc)) (* (sqrt 1/2) l) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))) (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))
4.0ms	Omc	@	inf	((asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (/ (* Om Om) (* Omc Omc))) (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)) (- 1 (* (/ Om Omc) (/ Om Omc))) (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))))) (/ (* (sqrt 1/2) l) t) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (/ (* Om Om) (* Omc Omc)) (* (/ Om Omc) (/ Om Omc)) (* (sqrt 1/2) l) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))) (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))

simplify206.0ms (1.7%)

Memory

3.9MiB live, 161.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	764	7220
1	2537	6236
0	8245	5927

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 119

Calls

Call 1

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

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

rewrite200.0ms (1.7%)

Memory

-8.7MiB live, 258.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	477
0	117	429
1	392	423
2	2556	418
0	9863	405

Stop Event

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

Counts

27 → 778

Calls

Call 1

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

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

eval143.0ms (1.2%)

Memory: 12.8MiB live, 245.0MiB allocated
Compiler: Compiled 46 445 to 4 120 computations (91.1% saved)

prune30.0ms (0.3%)

Memory

-4.0MiB live, 74.2MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	900	8	908
Fresh	4	7	11
Picked	2	3	5
Done	0	2	2
Total	906	20	926

Accuracy

99.2%

Counts

926 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(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 (/.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)))))))
	53.7%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) #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)))))))
✓	52.5%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #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))))))))
	52.7%	(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 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
▶	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 #s(approx (acos (/ 1 (sqrt (/ (+ ( (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 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))))))))
	52.9%	(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #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))))))))
✓	53.1%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.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))))))))
	49.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.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))))))))
	77.9%	(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) (/.f64 (/.f64 t l) (/.f64 l t)))))))
▶	87.3%	(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
	74.2%	(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))))))
✓	53.9%	(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))))))
✓	50.7%	(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)))))
✓	22.2%	(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))))))
▶	26.5%	(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))))))
	75.4%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
▶	74.3%	(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 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))))))
	45.6%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
	46.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.f64 (.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
▶	44.0%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))))

Compiler

Compiled 1 298 to 956 computations (26.3% saved)

simplify141.0ms (1.2%)

Memory

14.0MiB live, 177.4MiB 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	19584	(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 (/ 1 (sqrt (/ (+ ( (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 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	(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64))
cost-diff	0	(.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	#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 (/.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)) (+ (* (/ 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 (/.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	(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
cost-diff	0	(.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))))
cost-diff	0	#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
cost-diff	0	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))))
cost-diff	0	#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)))
cost-diff	0	#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))))
cost-diff	0	(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)))))
cost-diff	0	(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))))))
cost-diff	0	#s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 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 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64)) (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	98	876
0	150	826
1	251	808
2	485	808
3	1017	808
4	2649	808
5	6505	808
0	8126	777

Stop Event

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

Calls

Call 1

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

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

localize456.0ms (3.8%)

Memory

2.6MiB live, 663.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.18564952260833	(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	7.617145705310112	(/.f64 (*.f64 t t) l)
accuracy	28.321470913674833	(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 (/ 1 (sqrt (/ (+ ( (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 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	30.842950073007486	(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	0.5087140583005964	(/.f64 #s(literal 2 binary64) (*.f64 l l))
accuracy	2.604507128257741	(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))
accuracy	7.18174327260833	(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	7.268480084119758	(.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t)
accuracy	0.41015625	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
accuracy	0.5076384855936644	(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))))))
accuracy	8.606392576927165	(/.f64 Om (*.f64 Omc Omc))
accuracy	32.2460441583112	#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)))))
accuracy	4.471331146012216	(.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (.f64 l l) t))
accuracy	7.170814023072113	(/.f64 (*.f64 l l) t)
accuracy	7.18564952260833	(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)))))
accuracy	32.549052561079826	#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))))
accuracy	0.22269681216077208	(/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy	0.24043598101569483	#s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64))
accuracy	0.5076384855936644	(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
accuracy	7.18564952260833	(sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))

Samples

187.0ms	99×	2	valid
183.0ms	152×	1	valid
3.0ms	5×	0	valid

Compiler

Compiled 1 525 to 189 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 306.0ms

ival-div: 60.0ms (19.6% of total)

ival-mult: 56.0ms (18.3% of total)

adjust: 51.0ms (16.7% of total)

ival-sqrt: 31.0ms (10.1% of total)

ival-add: 24.0ms (7.8% of total)

ival-acos: 22.0ms (7.2% of total)

ival-pow2: 16.0ms (5.2% of total)

ival-asin: 16.0ms (5.2% of total)

ival-sub: 9.0ms (2.9% of total)

ival-pow: 7.0ms (2.3% of total)

ival-cbrt: 6.0ms (2% of total)

ival-neg: 4.0ms (1.3% of total)

ival-pi: 2.0ms (0.7% of total)

exact: 1.0ms (0.3% of total)

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

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

series74.0ms (0.6%)

Memory

17.9MiB live, 91.9MiB allocated

Counts

31 → 169

Calls

Call 1

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

Outputs
(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)))
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))
(/ (* l (sqrt 1/2)) t)
(+ 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)))))))))
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))
(/ (pow l 2) t)
(* 1/2 (/ (pow l 2) (pow t 2)))
(* 2 (/ t (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)))))
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1))))
(/ (pow t 2) l)
(* (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))))))))))
(* (/ (* 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))
(/ (* 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 (PI)) (acos (* (/ 1 (sqrt -1)) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 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))))) (+ (* -1/8 (/ (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)
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (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) (+ 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))
(* -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) (* (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) (+ 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 (sqrt 1/2))
(* 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)))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(/ 2 (pow l 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) (+ 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 (+ (* -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))))))
(+ (* -1/2 (* (/ (+ (* 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))))
(+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ (pow l 2) (pow t 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))
(/ 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))))
(* -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))))))
(/ (* 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))))))
(* -1/2 (* (/ (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)))))))))
(* -1/2 (/ (pow Om 2) (pow Omc 2)))
(* (pow Om 2) (- (/ 1 (pow Om 2)) (* 1/2 (/ 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 (* 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 (* (/ 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))
(/ (- (pow Omc 2) (pow Om 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))
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* -1/2 (* (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 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)))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
(+ (* -1/8 (* (/ (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
13.0ms	l	@	0	((asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (/ (* 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)))) (* (* 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 1/2) l) t) (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1))) (/ (* (sqrt 1/2) l) t) (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))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (/ (* l l) t) (* (/ 1/2 t) (/ (* l l) t)) (/ Om (* Omc Omc)) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ 2 (* l l)) (acos (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1)))) (/ (* t t) l) (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1))))
7.0ms	t	@	inf	((asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (/ (* 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)))) (* (* 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 1/2) l) t) (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1))) (/ (* (sqrt 1/2) l) t) (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))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (/ (* l l) t) (* (/ 1/2 t) (/ (* l l) t)) (/ Om (* Omc Omc)) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ 2 (* l l)) (acos (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1)))) (/ (* t t) l) (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1))))
7.0ms	Om	@	-inf	((asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (/ (* 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)))) (* (* 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 1/2) l) t) (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1))) (/ (* (sqrt 1/2) l) t) (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))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (/ (* l l) t) (* (/ 1/2 t) (/ (* l l) t)) (/ Om (* Omc Omc)) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ 2 (* l l)) (acos (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1)))) (/ (* t t) l) (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1))))
6.0ms	t	@	0	((asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (/ (* 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)))) (* (* 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 1/2) l) t) (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1))) (/ (* (sqrt 1/2) l) t) (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))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (/ (* l l) t) (* (/ 1/2 t) (/ (* l l) t)) (/ Om (* Omc Omc)) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ 2 (* l l)) (acos (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1)))) (/ (* t t) l) (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1))))
6.0ms	t	@	-inf	((asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (/ (* 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)))) (* (* 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 1/2) l) t) (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1))) (/ (* (sqrt 1/2) l) t) (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))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 2) 1))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (/ (* l l) t) (* (/ 1/2 t) (/ (* l l) t)) (/ Om (* Omc Omc)) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ 2 (* l l)) (acos (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1)))) (/ (* t t) l) (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1))))

simplify183.0ms (1.5%)

Memory

28.3MiB live, 211.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	986	9217
1	3258	8077
0	8107	7620

Stop Event

1×	iter limit
1×	node limit

Counts

169 → 169

Calls

Call 1

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

rewrite215.0ms (1.8%)

Memory

-40.5MiB live, 255.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	636
0	150	592
1	562	575
2	4260	565
0	8677	545

Stop Event

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

Counts

31 → 647

Calls

Call 1

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

Outputs
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #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))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #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 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #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)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #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 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #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 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #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 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #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 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #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 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #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 (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 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #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 (cbrt.f64 (PI.f64)) (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #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 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #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 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #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) (PI.f64) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #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 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #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 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #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 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #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 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 l t) #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 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #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 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #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 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l t) #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)) #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #s(literal 1 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)) #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64))) #s(literal -1/4 binary64)))
(.f64 (sqrt.f64 (neg.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #s(literal 1 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 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #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 (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 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #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 (exp.f64 (-.f64 (log.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 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 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #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(approx (- 1 (/ (* Om Om) (* Omc Omc))) #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 1/4 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)) #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64))) #s(literal -1/4 binary64)) #s(literal 2 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))) (sqrt.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64)))) #s(literal -1 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)) #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #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)) #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #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 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #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)))))
(/.f64 (sqrt.f64 (neg.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 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 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #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)) #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #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 (-.f64 (log.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #s(literal 1 binary64))) (log1p.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 l t) #s(literal -4 binary64)) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -4 binary64)) #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(approx (- 1 (/ ( Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (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 (/.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 l t) #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 (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 (pow.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #s(literal 1 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)) #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #s(literal 1 binary64)))
(.f64 (neg.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #s(literal 1 binary64))) (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 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #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 #s(literal 1 binary64) (/.f64 #s(approx (- 1 (/ ( Om Om) (* Omc Omc))) #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 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(+.f64 (*.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 #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)))))
(*.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 t (/.f64 t l))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 t l) t))
(pow.f64 (/.f64 (/.f64 (/.f64 l t) t) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 l t) t) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) t)) (neg.f64 (neg.f64 l)))
(/.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 l t))
(/.f64 (.f64 (.f64 t t) #s(literal 1 binary64)) l)
(/.f64 (*.f64 (neg.f64 t) t) (neg.f64 l))
(/.f64 (*.f64 t t) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 l t) t)))
(/.f64 t (/.f64 l t))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 l t) t) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l t) 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 (/.f64 l t) t)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l t) #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 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 Om Omc) #s(literal 1 binary64))) (pow.f64 (/.f64 (-.f64 (/.f64 Om Omc) #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 1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 (/.f64 Om Omc) #s(literal 1 binary64))) (pow.f64 (.f64 (-.f64 (/.f64 Om Omc) #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))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.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 -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.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 -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.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 4 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.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 6 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (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 -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 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 (pow.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 1/4 binary64)) (pow.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 1/4 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 -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 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 -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 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 -1/2 binary64)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 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 -1/2 binary64)))
(*.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 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sqrt.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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (neg.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 1/2 binary64)))
(*.f64 #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)))))
(pow.f64 (exp.f64 (log.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 1/2 binary64))
(pow.f64 (*.f64 (sqrt.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)))) (sqrt.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 -1/2 binary64))
(pow.f64 (*.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)))) #s(literal 1/4 binary64))
(pow.f64 (pow.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 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (sqrt.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))
(pow.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 1/2 binary64))
(pow.f64 (sqrt.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))
(pow.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 -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.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))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.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)))))))
(/.f64 #s(literal 1 binary64) (sqrt.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)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.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))))))
(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))))
(exp.f64 (neg.f64 (log.f64 (sqrt.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)))))))
(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 -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.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)))
(exp.f64 (*.f64 (log.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 1/2 binary64)))

eval133.0ms (1.1%)

Memory: 18.9MiB live, 210.5MiB allocated
Compiler: Compiled 50 509 to 4 598 computations (90.9% saved)

prune46.0ms (0.4%)

Memory

7.0MiB live, 94.1MiB allocated

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	846	17	863
Fresh	6	4	10
Picked	4	1	5
Done	3	2	5
Total	859	24	883

Accuracy

99.2%

Counts

883 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(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 (/.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 (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 #s(approx (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 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))))))))
	53.7%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) #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)))))))
	50.5%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (/ 1 (sqrt (/ (+ (* (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 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))))))))
	52.5%	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (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))))))))
	52.5%	(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 (/ 1 (sqrt (/ (+ ( (pow (/ l t) -2) -2) -1) (- (pow (/ Om Omc) 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 l) t) #s(literal -1 binary64))))))))
✓	53.1%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.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))))))))
	52.9%	(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)) (+ 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))))))))
	49.5%	(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.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))))))))
	67.4%	(fma.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))))))))
✓	87.3%	(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
	74.2%	(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))))))
✓	50.7%	(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)))))
	26.6%	(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 (.f64 l l) t) (.f64 #s(literal 2 binary64) t))))))
	23.9%	(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 (.f64 #s(literal 1/2 binary64) l) l) (*.f64 t t))))))
	31.1%	(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 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 t l) l) t))))))
	35.6%	(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 (.f64 #s(literal 1/2 binary64) l) t) (/.f64 l t))))))
	35.6%	(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 (/.f64 #s(literal 1/2 binary64) t) l) (/.f64 l t))))))
	23.8%	(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 l l) (/.f64 #s(literal 1/2 binary64) (*.f64 t t)))))))
	32.3%	(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) l) (/.f64 (/.f64 l t) t))))))
	51.2%	(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
	44.8%	(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.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))))
	42.9%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (.f64 Omc Omc)) #s(literal 1 binary64))))))
	44.0%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))))

Compiler

Compiled 3 283 to 1 135 computations (65.4% saved)

regimes194.0ms (1.6%)

Memory

-23.9MiB live, 296.0MiB allocated

Counts

53 → 2

Calls

Call 1

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

Calls

14 calls:

26.0ms	l
17.0ms	(/.f64 t l)
14.0ms	t
14.0ms	Omc
14.0ms	(/.f64 Om Omc)

Results

Accuracy	Segments	Branch
87.5%	1	`t`
89.8%	2	`l`
87.5%	1	`Om`
87.5%	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)))))`
87.5%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
87.5%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
87.5%	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)

regimes54.0ms (0.4%)

Memory

4.9MiB live, 82.3MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

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

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)

regimes39.0ms (0.3%)

Memory

19.7MiB live, 60.3MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

7.0ms	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
5.0ms	(/.f64 t l)
5.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
5.0ms	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
5.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))

Results

Accuracy	Segments	Branch
97.7%	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)))))))`
97.7%	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))))))`
97.7%	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)))))`
97.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
97.7%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
97.7%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
97.7%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes73.0ms (0.6%)

Memory

1.4MiB live, 78.8MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

14 calls:

13.0ms	(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
8.0ms	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
5.0ms	Omc
5.0ms	t
5.0ms	l

Results

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

Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes76.0ms (0.6%)

Memory

-25.4MiB live, 90.3MiB allocated

Counts

14 → 2

Calls

Call 1

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

Calls

14 calls:

18.0ms	(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)))))))
4.0ms	l
4.0ms	Omc
4.0ms	t

Results

Accuracy	Segments	Branch
75.4%	1	`Omc`
82.8%	3	`l`
77.2%	2	`(/.f64 Om Omc)`
83.3%	3	`t`
77.7%	2	`Om`
87.2%	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)))))))`
87.2%	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))))))`
87.2%	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)))))`
75.4%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
87.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
87.2%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
87.2%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
87.2%	2	`(/.f64 t l)`
75.4%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`

Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes16.0ms (0.1%)

Memory

33.8MiB live, 33.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

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) l) (/.f64 (/.f64 l t) t))))))

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
83.8%	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)))))))`
83.8%	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))))))`
83.8%	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)))))`
83.8%	2	`(/.f64 t l)`
83.8%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
83.8%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
83.8%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes30.0ms (0.3%)

Memory

5.9MiB live, 43.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

Calls

14 calls:

4.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
2.0ms	l
2.0ms	t
2.0ms	Omc
2.0ms	Om

Results

Accuracy	Segments	Branch
53.9%	1	`Omc`
53.9%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
53.9%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
53.9%	1	`(/.f64 Om Omc)`
53.9%	1	`Om`
61.4%	2	`l`
65.5%	2	`t`
75.5%	2	`(/.f64 t l)`
75.5%	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)))))))`
75.5%	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))))))`
75.5%	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)))))`
75.5%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
75.5%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
75.5%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`

Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes21.0ms (0.2%)

Memory

-20.8MiB live, 18.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

2.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
2.0ms	(/.f64 t l)
2.0ms	(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	(/.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
72.9%	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)))))))`
72.9%	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))))))`
72.9%	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)))))`
72.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
72.9%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
72.9%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
72.9%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes39.0ms (0.3%)

Memory

-15.0MiB live, 29.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

7 calls:

29.0ms	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
2.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
2.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
2.0ms	(/.f64 t l)
2.0ms	(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
72.8%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
72.8%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
72.8%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
72.8%	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)))))))`
72.8%	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))))))`
72.8%	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)))))`
72.8%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes22.0ms (0.2%)

Memory

10.0MiB live, 46.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

Outputs

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

Calls

14 calls:

4.0ms	Omc
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
1.0ms	l
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)))))))

Results

Accuracy	Segments	Branch
51.2%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
53.9%	2	`Om`
53.9%	2	`Omc`
51.2%	1	`(/.f64 Om Omc)`
51.2%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
51.2%	1	`l`
51.2%	1	`t`
51.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
51.2%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
51.2%	1	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
51.2%	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)))))))`
51.2%	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))))))`
51.2%	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)))))`
51.2%	1	`(/.f64 t l)`

Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes10.0ms (0.1%)

Memory

27.1MiB live, 27.1MiB 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)) (+ (* (/ t l) (* (/ t l) 2)) 1))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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)) (+ (* (/ t l) (* (/ t l) 2)) 1))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
51.2%	1	`t`
51.2%	1	`l`
51.2%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
51.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
51.2%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
51.2%	1	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
51.2%	1	`(/.f64 t l)`
51.2%	1	`Om`
51.2%	1	`Omc`

Compiler

Compiled 33 to 53 computations (-60.6% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8018468002972418e+119	2.9964359801665087e+127

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8018468002972418e+119	2.9964359801665087e+127

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	5.4973184674046494e+153	9.424737239796403e+157

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch3.0ms (0%)

Memory

-36.6MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.052721083161716e-6	0.7077894083182297

Compiler

Compiled 22 to 24 computations (-9.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.052721083161716e-6	0.7077894083182297

Compiler

Compiled 22 to 24 computations (-9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.7077894083182297	11578734545395436000.0

Compiler

Compiled 22 to 24 computations (-9.1% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.8413022098617295	3402753964.8636713

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	0.8413022098617295	3402753964.8636713

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch5.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	1.2781617672361451e+33	2.3438638286230907e+34

Samples

2.0ms	7×	1	valid
1.0ms	9×	0	valid
1.0ms	6×	0	invalid

Compiler

Compiled 110 to 83 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (42.8% of total)

ival-pow2: 1.0ms (42.8% 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-asin: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

simplify59.0ms (0.5%)

Memory

20.5MiB live, 56.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	138	851
1	214	841
2	386	841
3	799	841
4	2302	841
5	6361	841

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 t l) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 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 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) (asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 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 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 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))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.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)))))
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 5902958103587057/1180591620717411303424 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 (/.f64 #s(literal 1/2 binary64) t) l) (/.f64 l t)))))))
(if (<=.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 5902958103587057/1180591620717411303424 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) l) (/.f64 (/.f64 l t) t)))))))
(if (<=.f64 (pow.f64 (/.f64 t l) #s(literal 2 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) (.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 (.f64 #s(literal 1/2 binary64) l) l) (*.f64 t t)))))))
(if (<=.f64 (/.f64 t l) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om 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 (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) l) l) (*.f64 t t)))))))
(if (<=.f64 (/.f64 t l) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om 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 (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (.f64 (.f64 l l) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))))))
(if (<=.f64 Omc #s(literal 1999999999999999891150461974085632 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) 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))))))
(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))

Outputs
(if (<=.f64 (/.f64 t l) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 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 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 199999999999999988833510494509866762549945740760380013648464071215275971245520622008823899209483462732147236567072636928 binary64)) (asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 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 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 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))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.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)))))
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (/ (* Om Om) (* Omc Omc))) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 5902958103587057/1180591620717411303424 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 (/.f64 #s(literal 1/2 binary64) t) l) (/.f64 l t)))))))
(if (<=.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 5902958103587057/1180591620717411303424 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 (/.f64 #s(literal 1/2 binary64) t) l) (/.f64 l t)))))))
(if (<=.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 5902958103587057/1180591620717411303424 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) l) (/.f64 (/.f64 l t) t)))))))
(if (<=.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 5902958103587057/1180591620717411303424 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) l) (/.f64 (/.f64 l t) t)))))))
(if (<=.f64 (pow.f64 (/.f64 t l) #s(literal 2 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) (.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 (.f64 #s(literal 1/2 binary64) l) l) (*.f64 t t)))))))
(if (<=.f64 (pow.f64 (/.f64 t l) #s(literal 2 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) (.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 (.f64 #s(literal 1/2 binary64) l) l) (*.f64 t t)))))))
(if (<=.f64 (/.f64 t l) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om 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 (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) l) l) (*.f64 t t)))))))
(if (<=.f64 (/.f64 t l) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om 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 (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) l) l) (*.f64 t t)))))))
(if (<=.f64 (/.f64 t l) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om 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 (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (.f64 (.f64 l l) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))))))
(if (<=.f64 (/.f64 t l) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om 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 (* (* 1/2 (* l l)) (/ (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (* t t))) (.f64 (.f64 l l) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))))))
(if (<=.f64 Omc #s(literal 1999999999999999891150461974085632 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) 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))))))
(if (<=.f64 Omc #s(literal 1999999999999999891150461974085632 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (.f64 Om Om) Omc) #s(literal 1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1)) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))

soundness1.7s (14.2%)

Memory

-162.5MiB live, 1 027.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	764	7220
1	2537	6236
0	8245	5927
0	68	477
0	117	429
1	392	423
2	2556	418
0	9863	405
0	691	6537
1	2176	5524
0	8163	5214
0	98	636
0	150	592
1	562	575
2	4260	565
0	8677	545
0	16	68
0	26	68
1	100	68
2	734	68
3	7742	68
0	9001	64
0	390	3480
1	1207	2950
2	4656	2741
0	8195	2625
0	986	9217
1	3258	8077
0	8107	7620
0	60	434
0	105	417
1	382	399
2	2547	399
0	8368	385

Stop Event

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

Compiler

Compiled 2 141 to 974 computations (54.5% saved)

preprocess86.0ms (0.7%)

Memory

25.0MiB live, 137.2MiB allocated

Remove

(abs Om)

(abs Omc)

Compiler

Compiled 2 646 to 776 computations (70.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze450.0ms (3.8%)

sample4.3s (35.5%)

explain255.0ms (2.1%)

preprocess178.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify106.0ms (0.9%)

localize92.0ms (0.8%)

series49.0ms (0.4%)

simplify163.0ms (1.4%)

rewrite216.0ms (1.8%)

eval122.0ms (1%)

prune27.0ms (0.2%)

simplify131.0ms (1.1%)

localize355.0ms (3%)

series71.0ms (0.6%)

simplify189.0ms (1.6%)

rewrite177.0ms (1.5%)

eval134.0ms (1.1%)

prune31.0ms (0.3%)

simplify114.0ms (0.9%)

localize501.0ms (4.2%)

series107.0ms (0.9%)

simplify206.0ms (1.7%)

rewrite200.0ms (1.7%)

eval143.0ms (1.2%)

prune30.0ms (0.3%)

simplify141.0ms (1.2%)

localize456.0ms (3.8%)

series74.0ms (0.6%)

simplify183.0ms (1.5%)

rewrite215.0ms (1.8%)

eval133.0ms (1.1%)

prune46.0ms (0.4%)

regimes194.0ms (1.6%)

regimes54.0ms (0.4%)

regimes39.0ms (0.3%)

regimes73.0ms (0.6%)

regimes76.0ms (0.6%)

regimes16.0ms (0.1%)

regimes30.0ms (0.3%)

regimes21.0ms (0.2%)

regimes39.0ms (0.3%)

regimes22.0ms (0.2%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch5.0ms (0%)

simplify59.0ms (0.5%)

soundness1.7s (14.2%)

preprocess86.0ms (0.7%)

end0.0ms (0%)

Profiling