Metrics for Toniolo and Linder, Equation (2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze450.0ms (4.2%)

Memory

25.1MiB live, 572.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 21 to 18 computations (14.3% saved)

sample4.1s (39%)

Memory

-92.9MiB live, 3 708.0MiB allocated

Samples

1.1s	3 798×	1	valid
1.1s	7 161×	0	invalid
968.0ms	4 458×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-pow2: 826.0ms (33.5% of total)

ival-div: 675.0ms (27.4% of total)

ival-sqrt: 200.0ms (8.1% of total)

ival-mult: 196.0ms (8% of total)

ival-asin: 172.0ms (7% of total)

adjust: 142.0ms (5.8% of total)

ival-add: 122.0ms (5% of total)

ival-sub: 97.0ms (3.9% of total)

exact: 16.0ms (0.6% of total)

ival-true: 12.0ms (0.5% of total)

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

Bogosity

explain285.0ms (2.7%)

Memory

-30.8MiB live, 475.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
47	0	-	1	(2.9142857298766755e-115 -2.9287575792878315e-273 -9.022424691107424e-33 -4.5141674825257694e+241)	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`
11	114	(-4.156918075928254e-291 -1.1735264351909822e+296 2.790896052370985e-63 3.929883878931715e+198)	0	-	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`
1	0	-	0	-	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`
0	0	-	0	-	`Om`
0	0	-	0	-	`t`
0	0	-	0	-	`(/.f64 t l)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
0	0	-	0	-	`Omc`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
0	0	-	0	-	`(/.f64 Om Omc)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`l`
0	0	-	0	-	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
0	0	-	0	-	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`asin.f64`	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`	sensitivity	125	1
`sqrt.f64`	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`	uflow-rescue	46	0
↳	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`	underflow	67
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`	underflow	74
↳	`(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	21
↳	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`	underflow	74
↳	`(/.f64 t l)`	underflow	38
↳	`(/.f64 Om Omc)`	underflow	51
↳	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`	underflow	131
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`	n/o	1	0
↳	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`	overflow	68
↳	`(/.f64 t l)`	overflow	23
↳	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`	overflow	68
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`	overflow	68

Confusion

	Predicted +	Predicted -
+	58	0
-	114	84

Precision

0.3372093023255814

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	58	0	0
-	114	1	83

Precision?

0.3352601156069364

Recall?

1.0

Freqs

test

number	freq
0	84
1	172

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

72.0ms	238×	1	valid
44.0ms	274×	0	valid

Compiler

Compiled 221 to 52 computations (76.5% saved)

Precisions

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

ival-div: 19.0ms (24.5% of total)

ival-pow2: 18.0ms (23.2% of total)

ival-asin: 11.0ms (14.2% of total)

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

adjust: 7.0ms (9% of total)

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

ival-sub: 4.0ms (5.2% of total)

ival-add: 4.0ms (5.2% of total)

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

exact: 1.0ms (1.3% of total)

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

preprocess180.0ms (1.7%)

Memory

16.6MiB live, 213.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs Omc)

(abs Om)

(abs l)

(abs t)

Compiler

Compiled 19 to 16 computations (15.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.9%	(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

▶

81.9%

(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)

simplify131.0ms (1.2%)

Memory

9.5MiB live, 167.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (1.1%)

Memory

-11.2MiB live, 104.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2109375	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
accuracy	0.270195019536884	(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy	0.7753400512273589	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
accuracy	10.62967491986518	(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

31.0ms	119×	1	valid
15.0ms	137×	0	valid

Compiler

Compiled 101 to 18 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 8.0ms (26.9% of total)

ival-pow2: 7.0ms (23.5% of total)

ival-asin: 4.0ms (13.5% of total)

adjust: 3.0ms (10.1% of total)

ival-sqrt: 3.0ms (10.1% of total)

ival-sub: 2.0ms (6.7% of total)

ival-add: 2.0ms (6.7% of total)

ival-mult: 2.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

series81.0ms (0.8%)

Memory

4.2MiB live, 121.6MiB allocated

Counts

6 → 60

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	t	@	-inf	((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2))
23.0ms	t	@	inf	((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2))
4.0ms	Om	@	0	((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2))
3.0ms	t	@	0	((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2))
3.0ms	l	@	0	((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2))

simplify227.0ms (2.1%)

Memory

2.3MiB live, 279.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite114.0ms (1.1%)

Memory

2.1MiB live, 235.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

6 → 683

Calls

Call 1

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

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

eval108.0ms (1%)

Memory: 8.0MiB live, 212.6MiB allocated
Compiler: Compiled 21 889 to 3 578 computations (83.7% saved)

prune23.0ms (0.2%)

Memory

1.1MiB live, 74.4MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Accuracy

98.7%

Counts

742 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.9%	(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)))))
	78.9%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 t l) t) l))))))
▶	74.6%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
	68.3%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
▶	51.1%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
	20.0%	(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 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))))))
	48.8%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (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)))))))
▶	49.1%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
	45.0%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
▶	68.8%	#s(approx (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t 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))))))

Compiler

Compiled 662 to 476 computations (28.1% saved)

simplify111.0ms (1%)

Memory

-18.4MiB live, 144.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	608
0	94	556
1	170	555
2	375	555
3	1051	555
4	3111	555
5	7301	555
0	8193	536

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

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

localize210.0ms (2%)

Memory

1.5MiB live, 283.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.7753400512273589	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
accuracy	4.27590913418611	(.f64 Om (/.f64 Om (.f64 Omc Omc)))
accuracy	8.448202184813129	(/.f64 Om (*.f64 Omc Omc))
accuracy	10.62967491986518	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
accuracy	0.7753400512273589	(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)))))
accuracy	2.6290552506383142	(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))
accuracy	7.388848250755309	(.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t)
accuracy	10.62967491986518	(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))))
accuracy	0.270195019536884	(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
accuracy	0.484375	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
accuracy	0.7753400512273589	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
accuracy	30.70977650057242	#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
accuracy	0.270195019536884	(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
accuracy	0.7753400512273589	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
accuracy	10.62967491986518	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
accuracy	30.804576369489073	#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
accuracy	0.14955084020041856	(/.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	0.270195019536884	(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy	0.7753400512273589	(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	10.62967491986518	(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

97.0ms	119×	1	valid
64.0ms	137×	0	valid

Compiler

Compiled 529 to 47 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-div: 31.0ms (27.1% of total)

ival-sqrt: 26.0ms (22.7% of total)

ival-mult: 18.0ms (15.7% of total)

ival-asin: 14.0ms (12.2% of total)

adjust: 7.0ms (6.1% of total)

ival-pow2: 7.0ms (6.1% of total)

ival-sub: 5.0ms (4.4% of total)

ival-add: 5.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.5%)

Memory

27.2MiB live, 104.7MiB allocated

Counts

23 → 79

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	t	@	inf	((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (* (/ 2 (* l l)) t) t) 1)))) (* Om (/ Om (* Omc Omc))) (+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (* Om (/ Om (* Omc Omc)))) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (* Om (/ Om (* Omc Omc)))) (+ 1 (* 2 (pow (/ t l) 2))))) (pow (/ Om Omc) 2) (* (sqrt 1/2) l) (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ Om (* Omc Omc)))
5.0ms	l	@	-inf	((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (* (/ 2 (* l l)) t) t) 1)))) (* Om (/ Om (* Omc Omc))) (+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (* Om (/ Om (* Omc Omc)))) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (* Om (/ Om (* Omc Omc)))) (+ 1 (* 2 (pow (/ t l) 2))))) (pow (/ Om Omc) 2) (* (sqrt 1/2) l) (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ Om (* Omc Omc)))
4.0ms	t	@	-inf	((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (* (/ 2 (* l l)) t) t) 1)))) (* Om (/ Om (* Omc Omc))) (+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (* Om (/ Om (* Omc Omc)))) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (* Om (/ Om (* Omc Omc)))) (+ 1 (* 2 (pow (/ t l) 2))))) (pow (/ Om Omc) 2) (* (sqrt 1/2) l) (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ Om (* Omc Omc)))
4.0ms	t	@	0	((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (* (/ 2 (* l l)) t) t) 1)))) (* Om (/ Om (* Omc Omc))) (+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (* Om (/ Om (* Omc Omc)))) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (* Om (/ Om (* Omc Omc)))) (+ 1 (* 2 (pow (/ t l) 2))))) (pow (/ Om Omc) 2) (* (sqrt 1/2) l) (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ Om (* Omc Omc)))
3.0ms	Omc	@	inf	((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (* (/ 2 (* l l)) t) t) 1)))) (* Om (/ Om (* Omc Omc))) (+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (* Om (/ Om (* Omc Omc)))) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (* Om (/ Om (* Omc Omc)))) (+ 1 (* 2 (pow (/ t l) 2))))) (pow (/ Om Omc) 2) (* (sqrt 1/2) l) (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ Om (* Omc Omc)))

simplify160.0ms (1.5%)

Memory

-7.8MiB live, 267.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	486	4220
1	1749	3675
0	8235	3515

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 79

Calls

Call 1

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

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

rewrite259.0ms (2.4%)

Memory

-9.3MiB live, 281.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	421
0	94	359
1	302	358
2	1588	358
0	8236	341

Stop Event

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

Counts

23 → 813

Calls

Call 1

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

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

eval88.0ms (0.8%)

Memory: -10.4MiB live, 184.6MiB allocated
Compiler: Compiled 26 159 to 3 083 computations (88.2% saved)

prune47.0ms (0.4%)

Memory

8.2MiB live, 47.9MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	568	12	580
Fresh	5	0	5
Picked	1	4	5
Done	0	0	0
Total	574	16	590

Accuracy

98.7%

Counts

590 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.9%	(asin.f64 (sqrt.f64 (fma.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)) (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 (*.f64 (neg.f64 (/.f64 (/.f64 Om Omc) Omc)) Om) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
	71.5%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))
✓	74.6%	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 Om (/.f64 Om (.f64 Omc Omc)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
▶	68.3%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
▶	20.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (.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))))))
	44.6%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))))))
✓	51.1%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
	48.8%	(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)))))))
	45.0%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
	40.2%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc)))))))
✓	49.1%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
	49.0%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) t))))
	49.1%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))))
▶	48.7%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
▶	77.8%	#s(approx (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64))))))
✓	68.8%	#s(approx (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t 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))))))

Compiler

Compiled 1 019 to 706 computations (30.7% saved)

simplify91.0ms (0.9%)

Memory

9.1MiB live, 125.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64)))))
cost-diff	0	#s(approx (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64))))))
cost-diff	2	(fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64))
cost-diff	2	(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
cost-diff	0	#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (.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))))
cost-diff	0	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (.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)))))
cost-diff	0	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (.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))))))
cost-diff	2	(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
cost-diff	0	#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))
cost-diff	0	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))))
cost-diff	0	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
cost-diff	2	(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))
cost-diff	0	(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
cost-diff	0	#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
cost-diff	0	#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
cost-diff	0	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
cost-diff	0	(asin.f64 (sqrt.f64 (fma.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)) (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 (*.f64 (neg.f64 (/.f64 (/.f64 Om Omc) Omc)) Om) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
cost-diff	1	(/.f64 (*.f64 (neg.f64 (/.f64 (/.f64 Om Omc) Omc)) Om) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
cost-diff	2	(*.f64 (neg.f64 (/.f64 (/.f64 Om Omc) Omc)) Om)
cost-diff	19	(fma.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)) (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 (*.f64 (neg.f64 (/.f64 (/.f64 Om Omc) Omc)) Om) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	798
0	115	741
1	220	655
2	563	655
3	2198	655
4	7469	655
0	8075	654

Stop Event

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

Calls

Call 1

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

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

localize299.0ms (2.8%)

Memory

-16.5MiB live, 377.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.270195019536884	(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
accuracy	0.7753400512273589	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64)))))
accuracy	2.6290552506383142	(fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64))
accuracy	10.62967491986518	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64))))
accuracy	0.7753400512273589	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (.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))))))
accuracy	10.62967491986518	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (.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)))))
accuracy	15.116823713689437	(.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)))
accuracy	31.00043502013189	#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (.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))))
accuracy	0.7753400512273589	(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))))))
accuracy	2.6290552506383142	(fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))
accuracy	7.388848250755309	(.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t)
accuracy	10.62967491986518	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64)))))
accuracy	0.4424607108952091	#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
accuracy	0.484375	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
accuracy	0.7753400512273589	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
accuracy	30.70977650057242	#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
accuracy	0.7753400512273589	(asin.f64 (sqrt.f64 (fma.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)) (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 (*.f64 (neg.f64 (/.f64 (/.f64 Om Omc) Omc)) Om) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
accuracy	4.27590913418611	(*.f64 (neg.f64 (/.f64 (/.f64 Om Omc) Omc)) Om)
accuracy	10.62967491986518	(sqrt.f64 (fma.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)) (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 (*.f64 (neg.f64 (/.f64 (/.f64 Om Omc) Omc)) Om) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
accuracy	10.768819588437193	(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))

Samples

138.0ms	119×	1	valid
64.0ms	137×	0	valid

Compiler

Compiled 642 to 62 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-mult: 29.0ms (19.3% of total)

ival-div: 25.0ms (16.6% of total)

ival-pow: 24.0ms (15.9% of total)

ival-asin: 19.0ms (12.6% of total)

ival-sqrt: 14.0ms (9.3% of total)

adjust: 10.0ms (6.6% of total)

ival-sub: 10.0ms (6.6% of total)

ival-add: 9.0ms (6% of total)

ival-pow2: 7.0ms (4.7% of total)

ival-neg: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

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

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

series87.0ms (0.8%)

Memory

7.1MiB live, 164.0MiB allocated

Counts

25 → 146

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	l	@	0	((+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1))) (* (neg (/ (/ Om Omc) Omc)) Om) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)) (asin (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (* (sqrt 1/2) l) t) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (* (/ 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))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (/ (* (/ 2 l) t) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ (* (/ 2 l) t) l) t) 1)))) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (* (* (* l l) 1/2) (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (* t t))) (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ (* (/ 2 l) t) l) t) 1))))
8.0ms	t	@	inf	((+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1))) (* (neg (/ (/ Om Omc) Omc)) Om) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)) (asin (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (* (sqrt 1/2) l) t) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (* (/ 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))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (/ (* (/ 2 l) t) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ (* (/ 2 l) t) l) t) 1)))) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (* (* (* l l) 1/2) (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (* t t))) (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ (* (/ 2 l) t) l) t) 1))))
7.0ms	t	@	0	((+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1))) (* (neg (/ (/ Om Omc) Omc)) Om) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)) (asin (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (* (sqrt 1/2) l) t) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (* (/ 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))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (/ (* (/ 2 l) t) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ (* (/ 2 l) t) l) t) 1)))) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (* (* (* l l) 1/2) (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (* t t))) (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ (* (/ 2 l) t) l) t) 1))))
7.0ms	l	@	inf	((+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1))) (* (neg (/ (/ Om Omc) Omc)) Om) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)) (asin (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (* (sqrt 1/2) l) t) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (* (/ 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))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (/ (* (/ 2 l) t) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ (* (/ 2 l) t) l) t) 1)))) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (* (* (* l l) 1/2) (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (* t t))) (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ (* (/ 2 l) t) l) t) 1))))
6.0ms	Om	@	inf	((+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1))) (* (neg (/ (/ Om Omc) Omc)) Om) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)) (asin (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (* (sqrt 1/2) l) t) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (* (/ 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))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (/ (* (/ 2 l) t) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ (* (/ 2 l) t) l) t) 1)))) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (* (sqrt 1/2) l) (* (/ 2 (* l l)) t) (* (* (* l l) 1/2) (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (* t t))) (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ (* (/ 2 l) t) l) t) 1))))

simplify179.0ms (1.7%)

Memory

17.7MiB live, 214.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	921	8992
1	3321	8122
0	8291	7812

Stop Event

1×	iter limit
1×	node limit

Counts

146 → 146

Calls

Call 1

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

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

rewrite169.0ms (1.6%)

Memory

-3.2MiB live, 196.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	630
0	115	560
1	395	476
2	2422	476
0	8660	476

Stop Event

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

Counts

25 → 616

Calls

Call 1

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

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

eval119.0ms (1.1%)

Memory: 11.3MiB live, 202.2MiB allocated
Compiler: Compiled 40 803 to 4 252 computations (89.6% saved)

prune29.0ms (0.3%)

Memory

-13.8MiB live, 71.0MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	736	12	748
Fresh	5	2	7
Picked	3	2	5
Done	1	3	4
Total	745	19	764

Accuracy

98.8%

Counts

764 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.9%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (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 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (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)))))))
	12.2%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
	72.1%	(asin.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (fabs.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
▶	76.9%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
✓	68.3%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
▶	24.5%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l)))))))
▶	50.5%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64))))))
	23.1%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (* (* (* l l) 1/2) (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (* t t))) (.f64 (/.f64 (.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t))))))
	24.2%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (* (* (* l l) 1/2) (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (* t t))) (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 (/.f64 (.f64 l l) Omc) (/.f64 (.f64 Om Om) Omc)) (.f64 t t)) (.f64 (/.f64 l t) (/.f64 l t))))))))
▶	44.6%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))))))
✓	51.1%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
	40.2%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc)))))))
✓	49.1%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
✓	48.7%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
	48.7%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
	48.7%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
	27.9%	(asin.f64 #s(approx (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (/.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (.f64 l l) Omc) (/.f64 (.f64 Om Om) Omc)) (*.f64 l l)))) t)))
▶	36.3%	(asin.f64 #s(approx (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 t t)) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) (/.f64 #s(literal 1/2 binary64) (.f64 t t)))) l)))
✓	68.8%	#s(approx (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t 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))))))

Compiler

Compiled 1 548 to 941 computations (39.2% saved)

simplify101.0ms (1%)

Memory

19.2MiB live, 136.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	804
0	108	740
1	214	684
2	569	662
3	2429	662
4	7312	662
0	8266	628

Stop Event

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

Calls

Call 1

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

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

localize323.0ms (3%)

Memory

-13.0MiB live, 304.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.7753400512273589	(asin.f64 #s(approx (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 t t)) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) (/.f64 #s(literal 1/2 binary64) (.f64 t t)))) l)))
accuracy	13.945312500000002	(fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 t t)) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) (/.f64 #s(literal 1/2 binary64) (*.f64 t t)))
accuracy	27.521512190199804	(sqrt.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 t t)) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))
accuracy	30.70977650057242	#s(approx (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 t t)) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) (/.f64 #s(literal 1/2 binary64) (.f64 t t)))) l))
accuracy	4.120529021274619	(.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l))
accuracy	6.628886659038026	(/.f64 (*.f64 t t) l)
accuracy	10.62967491986518	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l))))))
accuracy	30.99909123931583	#s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (.f64 (/.f64 (.f64 t t) l) (/.f64 #s(literal 2 binary64) l)))
accuracy	0.7753400512273589	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))))))
accuracy	10.62967491986518	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc)))))
accuracy	15.792983333672366	(/.f64 (.f64 Om Om) (.f64 Omc Omc))
accuracy	30.804576369489073	#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))))
accuracy	0.5712650413691169	#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64))))
accuracy	0.7753400512273589	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64))))))
accuracy	10.62967491986518	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))
accuracy	30.79149140667183	#s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64))
accuracy	0.5712650413691169	#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))
accuracy	0.7753400512273589	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
accuracy	2.6290552506383142	(fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))
accuracy	10.62967491986518	(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))))

Samples

126.0ms	119×	1	valid
104.0ms	137×	0	valid

Compiler

Compiled 554 to 62 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-asin: 50.0ms (25.6% of total)

ival-div: 36.0ms (18.4% of total)

ival-mult: 32.0ms (16.4% of total)

ival-pow: 23.0ms (11.8% of total)

ival-neg: 12.0ms (6.1% of total)

ival-add: 11.0ms (5.6% of total)

adjust: 10.0ms (5.1% of total)

ival-sqrt: 10.0ms (5.1% of total)

ival-pow2: 7.0ms (3.6% of total)

ival-sub: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series50.0ms (0.5%)

Memory

4.7MiB live, 77.2MiB allocated

Counts

24 → 118

Calls

Call 1

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

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)))
(+ 1 (* -2 (/ (pow t 2) (pow l 2))))
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2))))))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2))))))
(* 2 (/ (pow t 2) (pow l 2)))
(/ (+ 1/2 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))
(asin (sqrt (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* 1/2 (* (* (pow t 2) (- (* 2 (/ (pow Om 2) (* (pow Omc 2) (pow l 2)))) (* 2 (/ 1 (pow l 2))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (- (* 2 (/ (pow Om 2) (* (pow Omc 2) (pow l 2)))) (* 2 (/ 1 (pow l 2)))))) (* 1/2 (* (* (pow t 2) (- (+ (* -4 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (* 4 (/ 1 (pow l 4)))) (* 1/4 (/ (pow (- (* 2 (/ (pow Om 2) (* (pow Omc 2) (pow l 2)))) (* 2 (/ 1 (pow l 2)))) 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (- (* 2 (/ (pow Om 2) (* (pow Omc 2) (pow l 2)))) (* 2 (/ 1 (pow l 2)))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (- (+ (* -4 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (* 4 (/ 1 (pow l 4)))) (* 1/4 (/ (pow (- (* 2 (/ (pow Om 2) (* (pow Omc 2) (pow l 2)))) (* 2 (/ 1 (pow l 2)))) 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))) (* 1/2 (* (* (pow t 2) (- (* 8 (/ (pow Om 2) (* (pow Omc 2) (pow l 6)))) (+ (* 1/2 (/ (* (- (* 2 (/ (pow Om 2) (* (pow Omc 2) (pow l 2)))) (* 2 (/ 1 (pow l 2)))) (- (+ (* -4 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (* 4 (/ 1 (pow l 4)))) (* 1/4 (/ (pow (- (* 2 (/ (pow Om 2) (* (pow Omc 2) (pow l 2)))) (* 2 (/ 1 (pow l 2)))) 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 8 (/ 1 (pow l 6)))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(/ (pow t 2) l)
(* (/ 1 t) (sqrt (+ 1/2 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* 1/2 (/ (pow l 2) (pow t 2)))
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2))
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2))
(* (/ 1 t) (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))))
(/ (+ (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))) (* 1/2 (* (/ (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) (pow t 2)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))))))) t)
(/ (+ (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))) (+ (* 1/2 (* (/ (- (* -1/8 (/ (* (pow Om 2) (pow l 6)) (pow Omc 2))) (+ (* -1/8 (pow l 6)) (* 1/4 (/ (pow (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) 2) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (pow t 4)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (* 1/2 (* (/ (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) (pow t 2)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))))) t)
(/ (+ (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))) (+ (* 1/2 (* (/ (- (* -1/8 (/ (* (pow Om 2) (pow l 6)) (pow Omc 2))) (+ (* -1/8 (pow l 6)) (* 1/4 (/ (pow (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) 2) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (pow t 4)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (+ (* 1/2 (* (/ (- (* 1/16 (/ (* (pow Om 2) (pow l 8)) (pow Omc 2))) (+ (* 1/16 (pow l 8)) (* 1/2 (/ (* (- (* -1/8 (/ (* (pow Om 2) (pow l 6)) (pow Omc 2))) (+ (* -1/8 (pow l 6)) (* 1/4 (/ (pow (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) 2) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4)))) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (pow t 6)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (* 1/2 (* (/ (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) (pow t 2)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))))))))) t)
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(* -1 (* (/ 1 t) (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))
(* -1 (/ (+ (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))) (* 1/2 (* (/ (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) (pow t 2)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))))))) t))
(* -1 (/ (+ (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))) (+ (* 1/2 (* (/ (- (* -1/8 (/ (* (pow Om 2) (pow l 6)) (pow Omc 2))) (+ (* -1/8 (pow l 6)) (* 1/4 (/ (pow (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) 2) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (pow t 4)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (* 1/2 (* (/ (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) (pow t 2)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))))) t))
(* -1 (/ (+ (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))) (+ (* 1/2 (* (/ (- (* -1/8 (/ (* (pow Om 2) (pow l 6)) (pow Omc 2))) (+ (* -1/8 (pow l 6)) (* 1/4 (/ (pow (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) 2) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (pow t 4)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (+ (* 1/2 (* (/ (- (* 1/16 (/ (* (pow Om 2) (pow l 8)) (pow Omc 2))) (+ (* 1/16 (pow l 8)) (* 1/2 (/ (* (- (* -1/8 (/ (* (pow Om 2) (pow l 6)) (pow Omc 2))) (+ (* -1/8 (pow l 6)) (* 1/4 (/ (pow (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) 2) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4)))) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (pow t 6)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (* 1/2 (* (/ (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) (pow t 2)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))))))))) t))
(* -1 (* (/ 1 t) (sqrt (+ 1/2 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2)))))
(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))))
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))))
(* l (sqrt (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))
(* l (+ (sqrt (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))) (* 1/2 (* (* (pow l 2) (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4))))) (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))))))
(* l (+ (sqrt (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))) (* (pow l 2) (+ (* 1/2 (* (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2)))))) (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))))) (* 1/2 (* (* (pow l 2) (- (+ (* -1/8 (/ (pow Om 2) (* (pow Omc 2) (pow t 6)))) (* 1/8 (/ 1 (pow t 6)))) (* 1/4 (/ (pow (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))) 2) (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2)))))))) (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))))))))
(* l (+ (sqrt (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))) (* (pow l 2) (+ (* 1/2 (* (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2)))))) (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))))) (* (pow l 2) (+ (* 1/2 (* (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2)))))) (- (+ (* -1/8 (/ (pow Om 2) (* (pow Omc 2) (pow t 6)))) (* 1/8 (/ 1 (pow t 6)))) (* 1/4 (/ (pow (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))) 2) (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))))) (* 1/2 (* (* (pow l 2) (- (* 1/16 (/ (pow Om 2) (* (pow Omc 2) (pow t 8)))) (+ (* 1/16 (/ 1 (pow t 8))) (* 1/2 (/ (* (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))) (- (+ (* -1/8 (/ (pow Om 2) (* (pow Omc 2) (pow t 6)))) (* 1/8 (/ 1 (pow t 6)))) (* 1/4 (/ (pow (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))) 2) (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2)))))))) (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))))) (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2))))
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2)))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* 1/2 (* (/ (- (* 2 (/ (* (pow Om 2) (pow t 2)) (pow Omc 2))) (* 2 (pow t 2))) (pow l 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* 1/2 (* (/ (- (* -4 (/ (* (pow Om 2) (pow t 4)) (pow Omc 2))) (+ (* -4 (pow t 4)) (* 1/4 (/ (pow (- (* 2 (/ (* (pow Om 2) (pow t 2)) (pow Omc 2))) (* 2 (pow t 2))) 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* 1/2 (* (/ (- (* 2 (/ (* (pow Om 2) (pow t 2)) (pow Omc 2))) (* 2 (pow t 2))) (pow l 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* 1/2 (* (/ (- (* -4 (/ (* (pow Om 2) (pow t 4)) (pow Omc 2))) (+ (* -4 (pow t 4)) (* 1/4 (/ (pow (- (* 2 (/ (* (pow Om 2) (pow t 2)) (pow Omc 2))) (* 2 (pow t 2))) 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* 1/2 (* (/ (- (* 2 (/ (* (pow Om 2) (pow t 2)) (pow Omc 2))) (* 2 (pow t 2))) (pow l 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* 1/2 (* (/ (- (* 8 (/ (* (pow Om 2) (pow t 6)) (pow Omc 2))) (+ (* 1/2 (/ (* (- (* -4 (/ (* (pow Om 2) (pow t 4)) (pow Omc 2))) (+ (* -4 (pow t 4)) (* 1/4 (/ (pow (- (* 2 (/ (* (pow Om 2) (pow t 2)) (pow Omc 2))) (* 2 (pow t 2))) 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (- (* 2 (/ (* (pow Om 2) (pow t 2)) (pow Omc 2))) (* 2 (pow t 2)))) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 8 (pow t 6)))) (pow l 6)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(/ (pow Om 2) (pow Omc 2))
(/ 1/2 (pow t 2))
(+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))
(/ (sqrt 1/2) t)
(+ (* -1/4 (/ (pow Om 2) (* (pow Omc 2) (* t (sqrt 1/2))))) (/ (sqrt 1/2) t))
(+ (* (pow Om 2) (- (* -1/32 (/ (pow Om 2) (* (pow Omc 4) (* t (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (* (pow Omc 2) (* t (sqrt 1/2))))))) (/ (sqrt 1/2) t))
(+ (* (pow Om 2) (- (* (pow Om 2) (- (* -1/128 (/ (pow Om 2) (* (pow Omc 6) (* t (pow (sqrt 1/2) 5))))) (* 1/32 (/ 1 (* (pow Omc 4) (* t (pow (sqrt 1/2) 3))))))) (* 1/4 (/ 1 (* (pow Omc 2) (* t (sqrt 1/2))))))) (/ (sqrt 1/2) t))
(* (/ (* 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))))))))
(* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2))))
(* (pow Om 2) (- (* 1/2 (/ 1 (* (pow Om 2) (pow t 2)))) (* 1/2 (/ 1 (* (pow Omc 2) (pow t 2))))))
(asin (sqrt (- (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(/ (* Om (sqrt -1/2)) (* Omc t))
(* Om (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t))))
(* Om (+ (* -1/32 (/ (pow Omc 3) (* (pow Om 4) (* t (pow (sqrt -1/2) 3))))) (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t)))))
(* Om (+ (* -1/32 (/ (pow Omc 3) (* (pow Om 4) (* t (pow (sqrt -1/2) 3))))) (+ (* 1/128 (/ (pow Omc 5) (* (pow Om 6) (* t (pow (sqrt -1/2) 5))))) (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(* -1 (/ (* Om (sqrt -1/2)) (* Omc t)))
(* -1 (* Om (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t)))))
(* -1 (* Om (+ (* -1/32 (/ (pow Omc 3) (* (pow Om 4) (* t (pow (sqrt -1/2) 3))))) (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t))))))
(* -1 (* Om (+ (* -1/32 (/ (pow Omc 3) (* (pow Om 4) (* t (pow (sqrt -1/2) 3))))) (+ (* 1/128 (/ (pow Omc 5) (* (pow Om 6) (* t (pow (sqrt -1/2) 5))))) (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t)))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/ (+ (* -1/2 (/ (pow Om 2) (pow t 2))) (* 1/2 (/ (pow Omc 2) (pow t 2)))) (pow Omc 2))
(/ (+ (* 1/4 (/ (pow Omc 2) (* Om (* t (sqrt -1/2))))) (/ (* Om (sqrt -1/2)) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/32 (/ (pow Omc 2) (* (pow Om 3) (* t (pow (sqrt -1/2) 3))))) (* 1/4 (/ 1 (* Om (* t (sqrt -1/2))))))) (/ (* Om (sqrt -1/2)) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* (pow Omc 2) (- (* 1/128 (/ (pow Omc 2) (* (pow Om 5) (* t (pow (sqrt -1/2) 5))))) (* 1/32 (/ 1 (* (pow Om 3) (* t (pow (sqrt -1/2) 3))))))) (* 1/4 (/ 1 (* Om (* t (sqrt -1/2))))))) (/ (* Om (sqrt -1/2)) t)) Omc)
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (* -1/4 (/ (pow Om 2) (* (pow Omc 2) (* t (sqrt 1/2))))) (+ (* -1/32 (/ (pow Om 4) (* (pow Omc 4) (* t (pow (sqrt 1/2) 3))))) (/ (sqrt 1/2) t)))
(+ (* -1/4 (/ (pow Om 2) (* (pow Omc 2) (* t (sqrt 1/2))))) (+ (* -1/32 (/ (pow Om 4) (* (pow Omc 4) (* t (pow (sqrt 1/2) 3))))) (+ (* -1/128 (/ (pow Om 6) (* (pow Omc 6) (* t (pow (sqrt 1/2) 5))))) (/ (sqrt 1/2) t))))

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	t	@	0	((+ (* (/ (* (/ t l) 2) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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)))) (* (/ (* t t) l) (/ 2 l)) (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)) (+ (* (/ -1/2 (* t t)) (* (/ Om Omc) (/ Om Omc))) (/ 1/2 (* t t))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1))))) (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (+ (* (* (/ 2 (* l l)) t) t) 1) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ (* t t) l) (sqrt (+ (* (/ -1/2 (* t t)) (* (/ Om Omc) (/ Om Omc))) (/ 1/2 (* t t)))))
5.0ms	l	@	inf	((+ (* (/ (* (/ t l) 2) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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)))) (* (/ (* t t) l) (/ 2 l)) (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)) (+ (* (/ -1/2 (* t t)) (* (/ Om Omc) (/ Om Omc))) (/ 1/2 (* t t))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1))))) (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (+ (* (* (/ 2 (* l l)) t) t) 1) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ (* t t) l) (sqrt (+ (* (/ -1/2 (* t t)) (* (/ Om Omc) (/ Om Omc))) (/ 1/2 (* t t)))))
4.0ms	t	@	inf	((+ (* (/ (* (/ t l) 2) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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)))) (* (/ (* t t) l) (/ 2 l)) (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)) (+ (* (/ -1/2 (* t t)) (* (/ Om Omc) (/ Om Omc))) (/ 1/2 (* t t))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1))))) (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (+ (* (* (/ 2 (* l l)) t) t) 1) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ (* t t) l) (sqrt (+ (* (/ -1/2 (* t t)) (* (/ Om Omc) (/ Om Omc))) (/ 1/2 (* t t)))))
3.0ms	Om	@	inf	((+ (* (/ (* (/ t l) 2) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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)))) (* (/ (* t t) l) (/ 2 l)) (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)) (+ (* (/ -1/2 (* t t)) (* (/ Om Omc) (/ Om Omc))) (/ 1/2 (* t t))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1))))) (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (+ (* (* (/ 2 (* l l)) t) t) 1) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ (* t t) l) (sqrt (+ (* (/ -1/2 (* t t)) (* (/ Om Omc) (/ Om Omc))) (/ 1/2 (* t t)))))
3.0ms	t	@	-inf	((+ (* (/ (* (/ t l) 2) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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)))) (* (/ (* t t) l) (/ 2 l)) (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)) (+ (* (/ -1/2 (* t t)) (* (/ Om Omc) (/ Om Omc))) (/ 1/2 (* t t))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1))))) (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (+ (* (* (/ 2 (* l l)) t) t) 1) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ (* t t) l) (sqrt (+ (* (/ -1/2 (* t t)) (* (/ Om Omc) (/ Om Omc))) (/ 1/2 (* t t)))))

simplify187.0ms (1.8%)

Memory

39.3MiB live, 228.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	772	7080
1	2564	6283
0	9275	6041

Stop Event

1×	iter limit
1×	node limit

Counts

118 → 118

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)))
(+ 1 (* -2 (/ (pow t 2) (pow l 2))))
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2))))))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2))))))
(* 2 (/ (pow t 2) (pow l 2)))
(/ (+ 1/2 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))
(asin (sqrt (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* 1/2 (* (* (pow t 2) (- (* 2 (/ (pow Om 2) (* (pow Omc 2) (pow l 2)))) (* 2 (/ 1 (pow l 2))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (- (* 2 (/ (pow Om 2) (* (pow Omc 2) (pow l 2)))) (* 2 (/ 1 (pow l 2)))))) (* 1/2 (* (* (pow t 2) (- (+ (* -4 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (* 4 (/ 1 (pow l 4)))) (* 1/4 (/ (pow (- (* 2 (/ (pow Om 2) (* (pow Omc 2) (pow l 2)))) (* 2 (/ 1 (pow l 2)))) 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (- (* 2 (/ (pow Om 2) (* (pow Omc 2) (pow l 2)))) (* 2 (/ 1 (pow l 2)))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (- (+ (* -4 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (* 4 (/ 1 (pow l 4)))) (* 1/4 (/ (pow (- (* 2 (/ (pow Om 2) (* (pow Omc 2) (pow l 2)))) (* 2 (/ 1 (pow l 2)))) 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))) (* 1/2 (* (* (pow t 2) (- (* 8 (/ (pow Om 2) (* (pow Omc 2) (pow l 6)))) (+ (* 1/2 (/ (* (- (* 2 (/ (pow Om 2) (* (pow Omc 2) (pow l 2)))) (* 2 (/ 1 (pow l 2)))) (- (+ (* -4 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (* 4 (/ 1 (pow l 4)))) (* 1/4 (/ (pow (- (* 2 (/ (pow Om 2) (* (pow Omc 2) (pow l 2)))) (* 2 (/ 1 (pow l 2)))) 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 8 (/ 1 (pow l 6)))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(/ (pow t 2) l)
(* (/ 1 t) (sqrt (+ 1/2 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* 1/2 (/ (pow l 2) (pow t 2)))
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2))
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2))
(* (/ 1 t) (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))))
(/ (+ (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))) (* 1/2 (* (/ (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) (pow t 2)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))))))) t)
(/ (+ (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))) (+ (* 1/2 (* (/ (- (* -1/8 (/ (* (pow Om 2) (pow l 6)) (pow Omc 2))) (+ (* -1/8 (pow l 6)) (* 1/4 (/ (pow (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) 2) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (pow t 4)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (* 1/2 (* (/ (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) (pow t 2)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))))) t)
(/ (+ (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))) (+ (* 1/2 (* (/ (- (* -1/8 (/ (* (pow Om 2) (pow l 6)) (pow Omc 2))) (+ (* -1/8 (pow l 6)) (* 1/4 (/ (pow (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) 2) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (pow t 4)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (+ (* 1/2 (* (/ (- (* 1/16 (/ (* (pow Om 2) (pow l 8)) (pow Omc 2))) (+ (* 1/16 (pow l 8)) (* 1/2 (/ (* (- (* -1/8 (/ (* (pow Om 2) (pow l 6)) (pow Omc 2))) (+ (* -1/8 (pow l 6)) (* 1/4 (/ (pow (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) 2) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4)))) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (pow t 6)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (* 1/2 (* (/ (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) (pow t 2)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))))))))) t)
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(* -1 (* (/ 1 t) (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))
(* -1 (/ (+ (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))) (* 1/2 (* (/ (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) (pow t 2)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))))))) t))
(* -1 (/ (+ (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))) (+ (* 1/2 (* (/ (- (* -1/8 (/ (* (pow Om 2) (pow l 6)) (pow Omc 2))) (+ (* -1/8 (pow l 6)) (* 1/4 (/ (pow (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) 2) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (pow t 4)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (* 1/2 (* (/ (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) (pow t 2)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))))) t))
(* -1 (/ (+ (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))) (+ (* 1/2 (* (/ (- (* -1/8 (/ (* (pow Om 2) (pow l 6)) (pow Omc 2))) (+ (* -1/8 (pow l 6)) (* 1/4 (/ (pow (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) 2) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (pow t 4)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (+ (* 1/2 (* (/ (- (* 1/16 (/ (* (pow Om 2) (pow l 8)) (pow Omc 2))) (+ (* 1/16 (pow l 8)) (* 1/2 (/ (* (- (* -1/8 (/ (* (pow Om 2) (pow l 6)) (pow Omc 2))) (+ (* -1/8 (pow l 6)) (* 1/4 (/ (pow (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) 2) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4)))) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (pow t 6)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (* 1/2 (* (/ (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) (pow t 2)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))))))))) t))
(* -1 (* (/ 1 t) (sqrt (+ 1/2 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2)))))
(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))))
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))))
(* l (sqrt (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))
(* l (+ (sqrt (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))) (* 1/2 (* (* (pow l 2) (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4))))) (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))))))
(* l (+ (sqrt (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))) (* (pow l 2) (+ (* 1/2 (* (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2)))))) (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))))) (* 1/2 (* (* (pow l 2) (- (+ (* -1/8 (/ (pow Om 2) (* (pow Omc 2) (pow t 6)))) (* 1/8 (/ 1 (pow t 6)))) (* 1/4 (/ (pow (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))) 2) (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2)))))))) (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))))))))
(* l (+ (sqrt (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))) (* (pow l 2) (+ (* 1/2 (* (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2)))))) (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))))) (* (pow l 2) (+ (* 1/2 (* (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2)))))) (- (+ (* -1/8 (/ (pow Om 2) (* (pow Omc 2) (pow t 6)))) (* 1/8 (/ 1 (pow t 6)))) (* 1/4 (/ (pow (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))) 2) (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))))) (* 1/2 (* (* (pow l 2) (- (* 1/16 (/ (pow Om 2) (* (pow Omc 2) (pow t 8)))) (+ (* 1/16 (/ 1 (pow t 8))) (* 1/2 (/ (* (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))) (- (+ (* -1/8 (/ (pow Om 2) (* (pow Omc 2) (pow t 6)))) (* 1/8 (/ 1 (pow t 6)))) (* 1/4 (/ (pow (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))) 2) (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2)))))))) (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))))) (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2))))
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2)))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* 1/2 (* (/ (- (* 2 (/ (* (pow Om 2) (pow t 2)) (pow Omc 2))) (* 2 (pow t 2))) (pow l 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* 1/2 (* (/ (- (* -4 (/ (* (pow Om 2) (pow t 4)) (pow Omc 2))) (+ (* -4 (pow t 4)) (* 1/4 (/ (pow (- (* 2 (/ (* (pow Om 2) (pow t 2)) (pow Omc 2))) (* 2 (pow t 2))) 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* 1/2 (* (/ (- (* 2 (/ (* (pow Om 2) (pow t 2)) (pow Omc 2))) (* 2 (pow t 2))) (pow l 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* 1/2 (* (/ (- (* -4 (/ (* (pow Om 2) (pow t 4)) (pow Omc 2))) (+ (* -4 (pow t 4)) (* 1/4 (/ (pow (- (* 2 (/ (* (pow Om 2) (pow t 2)) (pow Omc 2))) (* 2 (pow t 2))) 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* 1/2 (* (/ (- (* 2 (/ (* (pow Om 2) (pow t 2)) (pow Omc 2))) (* 2 (pow t 2))) (pow l 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* 1/2 (* (/ (- (* 8 (/ (* (pow Om 2) (pow t 6)) (pow Omc 2))) (+ (* 1/2 (/ (* (- (* -4 (/ (* (pow Om 2) (pow t 4)) (pow Omc 2))) (+ (* -4 (pow t 4)) (* 1/4 (/ (pow (- (* 2 (/ (* (pow Om 2) (pow t 2)) (pow Omc 2))) (* 2 (pow t 2))) 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (- (* 2 (/ (* (pow Om 2) (pow t 2)) (pow Omc 2))) (* 2 (pow t 2)))) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 8 (pow t 6)))) (pow l 6)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(/ (pow Om 2) (pow Omc 2))
(/ 1/2 (pow t 2))
(+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))
(/ (sqrt 1/2) t)
(+ (* -1/4 (/ (pow Om 2) (* (pow Omc 2) (* t (sqrt 1/2))))) (/ (sqrt 1/2) t))
(+ (* (pow Om 2) (- (* -1/32 (/ (pow Om 2) (* (pow Omc 4) (* t (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (* (pow Omc 2) (* t (sqrt 1/2))))))) (/ (sqrt 1/2) t))
(+ (* (pow Om 2) (- (* (pow Om 2) (- (* -1/128 (/ (pow Om 2) (* (pow Omc 6) (* t (pow (sqrt 1/2) 5))))) (* 1/32 (/ 1 (* (pow Omc 4) (* t (pow (sqrt 1/2) 3))))))) (* 1/4 (/ 1 (* (pow Omc 2) (* t (sqrt 1/2))))))) (/ (sqrt 1/2) t))
(* (/ (* 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))))))))
(* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2))))
(* (pow Om 2) (- (* 1/2 (/ 1 (* (pow Om 2) (pow t 2)))) (* 1/2 (/ 1 (* (pow Omc 2) (pow t 2))))))
(asin (sqrt (- (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(/ (* Om (sqrt -1/2)) (* Omc t))
(* Om (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t))))
(* Om (+ (* -1/32 (/ (pow Omc 3) (* (pow Om 4) (* t (pow (sqrt -1/2) 3))))) (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t)))))
(* Om (+ (* -1/32 (/ (pow Omc 3) (* (pow Om 4) (* t (pow (sqrt -1/2) 3))))) (+ (* 1/128 (/ (pow Omc 5) (* (pow Om 6) (* t (pow (sqrt -1/2) 5))))) (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(* -1 (/ (* Om (sqrt -1/2)) (* Omc t)))
(* -1 (* Om (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t)))))
(* -1 (* Om (+ (* -1/32 (/ (pow Omc 3) (* (pow Om 4) (* t (pow (sqrt -1/2) 3))))) (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t))))))
(* -1 (* Om (+ (* -1/32 (/ (pow Omc 3) (* (pow Om 4) (* t (pow (sqrt -1/2) 3))))) (+ (* 1/128 (/ (pow Omc 5) (* (pow Om 6) (* t (pow (sqrt -1/2) 5))))) (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t)))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/ (+ (* -1/2 (/ (pow Om 2) (pow t 2))) (* 1/2 (/ (pow Omc 2) (pow t 2)))) (pow Omc 2))
(/ (+ (* 1/4 (/ (pow Omc 2) (* Om (* t (sqrt -1/2))))) (/ (* Om (sqrt -1/2)) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/32 (/ (pow Omc 2) (* (pow Om 3) (* t (pow (sqrt -1/2) 3))))) (* 1/4 (/ 1 (* Om (* t (sqrt -1/2))))))) (/ (* Om (sqrt -1/2)) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* (pow Omc 2) (- (* 1/128 (/ (pow Omc 2) (* (pow Om 5) (* t (pow (sqrt -1/2) 5))))) (* 1/32 (/ 1 (* (pow Om 3) (* t (pow (sqrt -1/2) 3))))))) (* 1/4 (/ 1 (* Om (* t (sqrt -1/2))))))) (/ (* Om (sqrt -1/2)) t)) Omc)
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (* -1/4 (/ (pow Om 2) (* (pow Omc 2) (* t (sqrt 1/2))))) (+ (* -1/32 (/ (pow Om 4) (* (pow Omc 4) (* t (pow (sqrt 1/2) 3))))) (/ (sqrt 1/2) t)))
(+ (* -1/4 (/ (pow Om 2) (* (pow Omc 2) (* t (sqrt 1/2))))) (+ (* -1/32 (/ (pow Om 4) (* (pow Omc 4) (* t (pow (sqrt 1/2) 3))))) (+ (* -1/128 (/ (pow Om 6) (* (pow Omc 6) (* t (pow (sqrt 1/2) 5))))) (/ (sqrt 1/2) t))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))
(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)))))))
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(* -1 (/ (+ (sqrt (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))) (+ (* 1/2 (* (/ (- (* -1/8 (/ (* (pow Om 2) (pow l 6)) (pow Omc 2))) (+ (* -1/8 (pow l 6)) (* 1/4 (/ (pow (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) 2) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (pow t 4)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (+ (* 1/2 (* (/ (- (* 1/16 (/ (* (pow Om 2) (pow l 8)) (pow Omc 2))) (+ (* 1/16 (pow l 8)) (* 1/2 (/ (* (- (* -1/8 (/ (* (pow Om 2) (pow l 6)) (pow Omc 2))) (+ (* -1/8 (pow l 6)) (* 1/4 (/ (pow (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) 2) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4)))) (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (pow t 6)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2))))))) (* 1/2 (* (/ (- (* 1/4 (/ (* (pow Om 2) (pow l 4)) (pow Omc 2))) (* 1/4 (pow l 4))) (pow t 2)) (sqrt (/ 1 (+ (* -1/2 (/ (* (pow Om 2) (pow l 2)) (pow Omc 2))) (* 1/2 (pow l 2)))))))))) t))
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(* -1 (* (/ 1 t) (sqrt (+ 1/2 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))
(/.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1/2 binary64))) (neg.f64 t))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 l l) #s(literal -1/2 binary64)) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/8 binary64))) t) (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)))))) (.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64))) (pow.f64 l #s(literal 3 binary64)) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 l l) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (fma.f64 t (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 (.f64 l l) t) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 8 binary64))) #s(literal 1/16 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/8 binary64))) (.f64 t t))))) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64))) (pow.f64 l #s(literal 3 binary64)) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (.f64 t t)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (.f64 l l)) (pow.f64 t #s(literal 4 binary64))) #s(literal -1/4 binary64))) (.f64 l l))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) t) (.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 4 binary64))))) (.f64 l l))) (.f64 l l))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
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(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2)))))
(.f64 (fma.f64 (/.f64 (.f64 l l) (pow.f64 t #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 l l))
(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))))
(.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 l l)) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 t #s(literal 4 binary64)))) (.f64 l l) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) (.f64 l l))
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 l l) (pow.f64 t #s(literal 8 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64)))) (.f64 l l)) (/.f64 #s(literal 1/4 binary64) (pow.f64 t #s(literal 4 binary64)))) (.f64 l l) (/.f64 #s(literal 1/2 binary64) (.f64 t t))) (*.f64 l l))
(* l (sqrt (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 t t)) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) (/.f64 #s(literal 1/2 binary64) (.f64 t t)))) l)
(* l (+ (sqrt (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))) (* 1/2 (* (* (pow l 2) (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4))))) (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 l l)) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 t #s(literal 4 binary64))) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (/.f64 #s(literal 1/4 binary64) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 t t)) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) (/.f64 #s(literal 1/2 binary64) (.f64 t t))))) (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 t t)) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) (/.f64 #s(literal 1/2 binary64) (.f64 t t))))) l)
(* l (+ (sqrt (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))) (* (pow l 2) (+ (* 1/2 (* (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2)))))) (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))))) (* 1/2 (* (* (pow l 2) (- (+ (* -1/8 (/ (pow Om 2) (* (pow Omc 2) (pow t 6)))) (* 1/8 (/ 1 (pow t 6)))) (* 1/4 (/ (pow (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))) 2) (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2)))))))) (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))))))))
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(* l (+ (sqrt (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))) (* (pow l 2) (+ (* 1/2 (* (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2)))))) (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))))) (* (pow l 2) (+ (* 1/2 (* (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2)))))) (- (+ (* -1/8 (/ (pow Om 2) (* (pow Omc 2) (pow t 6)))) (* 1/8 (/ 1 (pow t 6)))) (* 1/4 (/ (pow (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))) 2) (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))))) (* 1/2 (* (* (pow l 2) (- (* 1/16 (/ (pow Om 2) (* (pow Omc 2) (pow t 8)))) (+ (* 1/16 (/ 1 (pow t 8))) (* 1/2 (/ (* (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))) (- (+ (* -1/8 (/ (pow Om 2) (* (pow Omc 2) (pow t 6)))) (* 1/8 (/ 1 (pow t 6)))) (* 1/4 (/ (pow (- (* 1/4 (/ (pow Om 2) (* (pow Omc 2) (pow t 4)))) (* 1/4 (/ 1 (pow t 4)))) 2) (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2)))))))) (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))))))) (sqrt (/ 1 (+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 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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(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
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(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
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(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
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(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 Omc Omc)) (/.f64 (.f64 Om Om) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l) #s(literal 1 binary64))) (/.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) (pow Omc 2))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(/ 1/2 (pow t 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ (* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2)))) (* 1/2 (/ 1 (pow t 2))))
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(/ (sqrt 1/2) t)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(+ (* -1/4 (/ (pow Om 2) (* (pow Omc 2) (* t (sqrt 1/2))))) (/ (sqrt 1/2) t))
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(+ (* (pow Om 2) (- (* -1/32 (/ (pow Om 2) (* (pow Omc 4) (* t (pow (sqrt 1/2) 3))))) (* 1/4 (/ 1 (* (pow Omc 2) (* t (sqrt 1/2))))))) (/ (sqrt 1/2) t))
(fma.f64 (-.f64 (.f64 (/.f64 #s(literal -1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) t)) (/.f64 (.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) Omc) Omc))) (.f64 Om Om) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
(+ (* (pow Om 2) (- (* (pow Om 2) (- (* -1/128 (/ (pow Om 2) (* (pow Omc 6) (* t (pow (sqrt 1/2) 5))))) (* 1/32 (/ 1 (* (pow Omc 4) (* t (pow (sqrt 1/2) 3))))))) (* 1/4 (/ 1 (* (pow Omc 2) (* t (sqrt 1/2))))))) (/ (sqrt 1/2) t))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)) t)) (/.f64 (.f64 Om Om) (pow.f64 Omc #s(literal 6 binary64)))) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (.f64 (pow.f64 Omc #s(literal 4 binary64)) t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 Om Om)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) Omc) Omc))) (.f64 Om Om) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
(* (/ (* 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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 (.f64 Omc Omc) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l) #s(literal 1 binary64))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 Om Om)) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 Omc Omc)) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l) #s(literal 1 binary64)))) (.f64 Om Om))
(* -1/2 (/ (pow Om 2) (* (pow Omc 2) (pow t 2))))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 t t)) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))
(* (pow Om 2) (- (* 1/2 (/ 1 (* (pow Om 2) (pow t 2)))) (* 1/2 (/ 1 (* (pow Omc 2) (pow t 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 t t) Om) Om)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 t t) Omc) Omc))) (.f64 Om Om))
(asin (sqrt (- (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) (/ (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)))))
(/ (* Om (sqrt -1/2)) (* Omc t))
(*.f64 (/.f64 Om t) (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) Omc))
(* Om (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t))))
(.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 Om Om) t)) (/.f64 Omc (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) Omc) t)) Om)
(* Om (+ (* -1/32 (/ (pow Omc 3) (* (pow Om 4) (* t (pow (sqrt -1/2) 3))))) (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t)))))
(.f64 (fma.f64 (/.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 Om #s(literal 4 binary64)) t)) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 Om Om) t)) (/.f64 Omc (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) Omc) t))) Om)
(* Om (+ (* -1/32 (/ (pow Omc 3) (* (pow Om 4) (* t (pow (sqrt -1/2) 3))))) (+ (* 1/128 (/ (pow Omc 5) (* (pow Om 6) (* t (pow (sqrt -1/2) 5))))) (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 Om #s(literal 4 binary64)) t)) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/128 binary64) (.f64 (pow.f64 Om #s(literal 6 binary64)) t)) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 Om Om) t)) (/.f64 Omc (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) Omc) t)))) Om)
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(.f64 (.f64 (neg.f64 Om) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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 (sqrt -1/2)) (* Omc t)))
(*.f64 (neg.f64 Om) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) Omc) t))
(* -1 (* Om (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t)))))
(.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 Om Om) t)) (/.f64 Omc (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) Omc) t)))
(* -1 (* Om (+ (* -1/32 (/ (pow Omc 3) (* (pow Om 4) (* t (pow (sqrt -1/2) 3))))) (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t))))))
(.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 Om #s(literal 4 binary64)) t)) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 Om Om) t)) (/.f64 Omc (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) Omc) t))))
(* -1 (* Om (+ (* -1/32 (/ (pow Omc 3) (* (pow Om 4) (* t (pow (sqrt -1/2) 3))))) (+ (* 1/128 (/ (pow Omc 5) (* (pow Om 6) (* t (pow (sqrt -1/2) 5))))) (+ (* 1/4 (/ Omc (* (pow Om 2) (* t (sqrt -1/2))))) (/ (sqrt -1/2) (* Omc t)))))))
(.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 Om #s(literal 4 binary64)) t)) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/128 binary64) (.f64 (pow.f64 Om #s(literal 6 binary64)) t)) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 Om Om) t)) (/.f64 Omc (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) Omc) t)))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/.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 Om) (/.f64 Omc (sqrt.f64 #s(literal -1 binary64))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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 Omc) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)))))) (.f64 Omc Omc))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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 #s(literal 1 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)))))) (.f64 Omc Omc) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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) (.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 (fma.f64 (neg.f64 Om) Om (.f64 Omc Omc)) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (.f64 t t) l) #s(literal 1 binary64))) (*.f64 Omc Omc))
(/ (+ (* -1/2 (/ (pow Om 2) (pow t 2))) (* 1/2 (/ (pow Omc 2) (pow t 2)))) (pow Omc 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 Omc Omc) (.f64 #s(literal -1/2 binary64) (.f64 Om Om))) (.f64 t t)) (*.f64 Omc Omc))
(/ (+ (* 1/4 (/ (pow Omc 2) (* Om (* t (sqrt -1/2))))) (/ (* Om (sqrt -1/2)) t)) Omc)
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) t)) (/.f64 (.f64 Omc Omc) Om) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) Om) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/32 (/ (pow Omc 2) (* (pow Om 3) (* t (pow (sqrt -1/2) 3))))) (* 1/4 (/ 1 (* Om (* t (sqrt -1/2))))))) (/ (* Om (sqrt -1/2)) t)) Omc)
(/.f64 (fma.f64 (fma.f64 (.f64 (/.f64 Omc (.f64 (pow.f64 Om #s(literal 3 binary64)) t)) (/.f64 Omc (.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) t) Om))) (.f64 Omc Omc) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) Om) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* (pow Omc 2) (- (* 1/128 (/ (pow Omc 2) (* (pow Om 5) (* t (pow (sqrt -1/2) 5))))) (* 1/32 (/ 1 (* (pow Om 3) (* t (pow (sqrt -1/2) 3))))))) (* 1/4 (/ 1 (* Om (* t (sqrt -1/2))))))) (/ (* Om (sqrt -1/2)) t)) Omc)
(/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/128 binary64) (.f64 Omc Omc)) (.f64 (.f64 (pow.f64 Om #s(literal 5 binary64)) t) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (.f64 (pow.f64 Om #s(literal 3 binary64)) t) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 Omc Omc) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) t) Om))) (.f64 Omc Omc) (/.f64 (.f64 (sqrt.f64 #s(literal -1/2 binary64)) Om) t)) Omc)
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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 (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)))) (.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)))))))
(+ (* -1/4 (/ (pow Om 2) (* (pow Omc 2) (* t (sqrt 1/2))))) (+ (* -1/32 (/ (pow Om 4) (* (pow Omc 4) (* t (pow (sqrt 1/2) 3))))) (/ (sqrt 1/2) t)))
(fma.f64 (/.f64 #s(literal -1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) t)) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
(+ (* -1/4 (/ (pow Om 2) (* (pow Omc 2) (* t (sqrt 1/2))))) (+ (* -1/32 (/ (pow Om 4) (* (pow Omc 4) (* t (pow (sqrt 1/2) 3))))) (+ (* -1/128 (/ (pow Om 6) (* (pow Omc 6) (* t (pow (sqrt 1/2) 5))))) (/ (sqrt 1/2) t))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (.f64 (/.f64 Om Omc) (/.f64 Om Omc)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)) t)) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/32 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) t)) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))

rewrite183.0ms (1.7%)

Memory

-41.9MiB live, 207.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	678
0	108	618
1	396	570
2	2682	544
0	8258	513

Stop Event

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

Counts

24 → 553

Calls

Call 1

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

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

eval84.0ms (0.8%)

Memory: 21.7MiB live, 138.8MiB allocated
Compiler: Compiled 35 284 to 3 835 computations (89.1% saved)

prune31.0ms (0.3%)

Memory

-8.0MiB live, 69.6MiB allocated

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	596	8	604
Fresh	2	7	9
Picked	2	3	5
Done	0	5	5
Total	600	23	623

Accuracy

98.8%

Counts

623 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.9%	(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (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 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (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)))))))
	12.2%	(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
	72.1%	(asin.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (fabs.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
✓	76.9%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
✓	68.3%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) t) t #s(literal 1 binary64))))))
	29.2%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (/.f64 (.f64 (.f64 (/.f64 t l) t) #s(literal 2 binary64)) l))))))
	20.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (/.f64 (.f64 (.f64 t t) #s(literal 2 binary64)) (*.f64 l l)))))))
✓	50.5%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64))))))
	46.0%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
	23.1%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (.f64 l l) t))))))
	24.2%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (* (* (* l l) 1/2) (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (* t t))) (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 (/.f64 (.f64 l l) Omc) (/.f64 (.f64 Om Om) Omc)) (.f64 t t)) (.f64 (/.f64 l t) (/.f64 l t))))))))
✓	44.6%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 Om Om) (.f64 Omc Omc))))))
✓	51.1%	(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
✓	49.1%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
✓	48.7%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
	48.7%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
	48.7%	(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
	27.9%	(asin.f64 #s(approx (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (/.f64 (sqrt.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (.f64 l l) Omc) (/.f64 (.f64 Om Om) Omc)) (*.f64 l l)))) t)))
	24.6%	(asin.f64 #s(approx (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (.f64 (/.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (.f64 t t) (.f64 t (.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (sqrt.f64 (pow.f64 t #s(literal 3 binary64)))) l)))
	36.1%	(asin.f64 #s(approx (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (.f64 (sqrt.f64 #s(approx (+ ( (/ -1/2 (* t t)) (* (/ Om Omc) (/ Om Omc))) (/ 1/2 (* t t))) (/.f64 #s(literal 1/2 binary64) (*.f64 t t)))) l)))
	34.5%	(asin.f64 #s(approx (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t t))) #s(literal 1/2 binary64))) l)))
	45.4%	(asin.f64 #s(approx (sqrt (+ (* (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2) (pow (+ (* (pow (/ t l) 2) 2) 1) -1/2)) (/ (* (neg (/ (/ Om Omc) Omc)) Om) (+ (* (pow (/ t l) 2) 2) 1)))) (.f64 #s(approx (sqrt (+ ( (/ -1/2 (* t t)) (* (/ Om Omc) (/ Om Omc))) (/ 1/2 (* t t)))) (/.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1/2 binary64))) t)) l)))
✓	68.8%	#s(approx (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t 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))))))

Compiler

Compiled 3 012 to 1 011 computations (66.4% saved)

regimes166.0ms (1.6%)

Memory

17.6MiB live, 254.4MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

14 calls:

14.0ms	l
12.0ms	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
12.0ms	Om
12.0ms	Omc
12.0ms	t

Results

Accuracy	Segments	Branch
86.4%	2	`t`
87.1%	2	`l`
81.9%	1	`Om`
81.9%	1	`Omc`
98.5%	2	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`
98.5%	2	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`
98.5%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`
81.9%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
81.9%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
81.9%	1	`(/.f64 Om Omc)`
98.5%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
98.5%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
98.5%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
98.5%	2	`(/.f64 t l)`

Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes102.0ms (1%)

Memory

5.0MiB live, 81.7MiB allocated

Counts

41 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

18.0ms	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
11.0ms	(/.f64 t l)
11.0ms	(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))))))
10.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
10.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))

Results

Accuracy	Segments	Branch
98.5%	2	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`
98.5%	2	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`
98.5%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`
98.5%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
98.5%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
98.5%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
98.5%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes125.0ms (1.2%)

Memory

-10.4MiB live, 71.6MiB allocated

Counts

35 → 2

Calls

Call 1

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

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

Calls

7 calls:

52.0ms	(pow.f64 (/.f64 t l) #s(literal 2 binary64))
25.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
9.0ms	(/.f64 t l)
9.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
9.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
98.5%	2	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`
98.5%	2	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`
98.5%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`
98.5%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
98.5%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
98.5%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
98.5%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes92.0ms (0.9%)

Memory

-12.3MiB live, 64.9MiB allocated

Counts

31 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

10.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
8.0ms	(/.f64 t l)
8.0ms	(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))))))
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 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
98.5%	2	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))`
98.5%	2	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))`
98.5%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))`
98.5%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
98.5%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
98.5%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
98.5%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes56.0ms (0.5%)

Memory

19.6MiB live, 58.1MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

11.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
7.0ms	(/.f64 t l)
7.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
7.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
7.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
97.9%	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)))))))`
97.9%	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))))))`
97.9%	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)))))`
97.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
97.9%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
97.9%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
97.9%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes65.0ms (0.6%)

Memory

7.1MiB live, 47.1MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

30.0ms	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
6.0ms	(/.f64 t l)
6.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
6.0ms	(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))))))
6.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
97.6%	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)))))))`
97.6%	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))))))`
97.6%	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)))))`
97.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
97.6%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
97.6%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
97.6%	2	`(/.f64 t l)`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes65.0ms (0.6%)

Memory

0.9MiB live, 39.5MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

36.0ms	(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)))))))
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))))))
5.0ms	(/.f64 t l)
5.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
5.0ms	(pow.f64 (/.f64 t l) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
97.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
97.2%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
97.2%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
97.2%	2	`(/.f64 t l)`
97.2%	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)))))))`
97.2%	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))))))`
97.2%	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)))))`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes34.0ms (0.3%)

Memory

-16.0MiB live, 22.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

19.0ms	(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 (-.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
96.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
96.7%	2	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
96.7%	2	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
96.7%	2	`(/.f64 t l)`
96.7%	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)))))))`
96.7%	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))))))`
96.7%	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)))))`

Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes16.0ms (0.2%)

Memory

29.5MiB live, 29.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

14 calls:

1.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
1.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
1.0ms	l
1.0ms	Omc

Results

Accuracy	Segments	Branch
50.5%	1	`Om`
50.5%	1	`(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))`
50.5%	1	`(/.f64 Om Omc)`
50.5%	1	`(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))`
50.5%	1	`Omc`
50.5%	1	`t`
50.5%	1	`l`
50.5%	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)))))))`
50.5%	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))))))`
50.5%	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)))))`
50.5%	1	`(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))`
50.5%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))`
50.5%	1	`(pow.f64 (/.f64 t l) #s(literal 2 binary64))`
50.5%	1	`(/.f64 t l)`

Compiler

Compiled 97 to 112 computations (-15.5% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.520020004425583e+149	6.04196752588411e+152

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.520020004425583e+149	6.04196752588411e+152

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch39.0ms (0.4%)

Memory

-38.5MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7523436648192398e+117	1.9087965551161344e+117

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3326771314882781.5	800833584781497200.0

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1109435.871270009	12701157.15180704

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.651875652584609e-44	7.796244458593716e-37

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0172545168731013e-8	0.9923043010150225

Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0172545168731013e-8	0.9923043010150225

Compiler

Compiled 22 to 23 computations (-4.5% saved)

simplify70.0ms (0.7%)

Memory

11.4MiB live, 50.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	119	676
1	193	672
2	374	672
3	947	672
4	2382	672
5	5143	672

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 t l) #s(literal 499999999999999990417798086218687295286560007015159396545582405077050056101839291488149134308110575981351030133088002720283516165604201974116686757888 binary64)) (asin.f64 (sqrt.f64 (fma.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)) (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 (.f64 (neg.f64 (/.f64 (/.f64 Om Omc) Omc)) Om) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) (.f64 (.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t)))))
(if (<=.f64 (/.f64 t l) #s(literal 499999999999999990417798086218687295286560007015159396545582405077050056101839291488149134308110575981351030133088002720283516165604201974116686757888 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)) (+ 1 ( 2 (pow (/ t l) 2))))) (.f64 (.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t)))))
(if (<=.f64 (/.f64 t l) #s(literal 1800000000000000063002960629568508233642798148339852425716297939066899788908889968436221689037100177393382137930973184 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)) (+ 1 ( 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 5000000000000000 binary64)) #s(approx (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 2000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.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))))) #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))))))
(if (<=.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))))) #s(literal 944473296573929/18889465931478580854784 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
(if (<=.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))))) #s(literal 944473296573929/18889465931478580854784 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #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) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64))))))

Outputs
(if (<=.f64 (/.f64 t l) #s(literal 499999999999999990417798086218687295286560007015159396545582405077050056101839291488149134308110575981351030133088002720283516165604201974116686757888 binary64)) (asin.f64 (sqrt.f64 (fma.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)) (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 (.f64 (neg.f64 (/.f64 (/.f64 Om Omc) Omc)) Om) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) (.f64 (.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t)))))
(if (<=.f64 (/.f64 t l) #s(literal 499999999999999990417798086218687295286560007015159396545582405077050056101839291488149134308110575981351030133088002720283516165604201974116686757888 binary64)) (asin.f64 (sqrt.f64 (fma.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)) (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 (.f64 (/.f64 (/.f64 Om Omc) (neg.f64 Omc)) Om) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) (.f64 (.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t)))))
(if (<=.f64 (/.f64 t l) #s(literal 499999999999999990417798086218687295286560007015159396545582405077050056101839291488149134308110575981351030133088002720283516165604201974116686757888 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)) (+ 1 ( 2 (pow (/ t l) 2))))) (.f64 (.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t)))))
(if (<=.f64 (/.f64 t l) #s(literal 1800000000000000063002960629568508233642798148339852425716297939066899788908889968436221689037100177393382137930973184 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)) (+ 1 ( 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 5000000000000000 binary64)) #s(approx (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 2000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 2000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow.f64 (fma.f64 (/.f64 (.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.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))))) #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))))))
(if (<=.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))))) #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1)) (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)) #s(literal -1 binary64))))))
(if (<=.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))))) #s(literal 944473296573929/18889465931478580854784 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
(if (<=.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))))) #s(literal 944473296573929/18889465931478580854784 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) (asin.f64 (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)))))))
(if (<=.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))))) #s(literal 944473296573929/18889465931478580854784 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))))
(if (<=.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))))) #s(literal 944473296573929/18889465931478580854784 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 ( 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ ( (/ t l) (* (/ t l) 2)) 1)) (pow.f64 #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow.f64 #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)) #s(literal -1 binary64)))))

soundness962.0ms (9.1%)

Memory

29.3MiB live, 729.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	73
0	26	73
1	94	69
2	584	51
0	8434	51
0	486	4220
1	1749	3675
0	8235	3515
0	390	3481
1	1340	2940
2	6131	2895
0	8598	2765
0	72	630
0	115	560
1	395	476
2	2422	476
0	8660	476
0	56	421
0	94	359
1	302	358
2	1588	358
0	8236	341
0	921	8992
1	3321	8122
0	8291	7812

Stop Event

1×	fuel
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×	node limit
1×	iter limit

Compiler

Compiled 1 542 to 727 computations (52.9% saved)

preprocess103.0ms (1%)

Memory

-13.8MiB live, 179.6MiB allocated

Remove

(abs Om)

(abs Omc)

Compiler

Compiled 3 294 to 1 286 computations (61% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze450.0ms (4.2%)

sample4.1s (39%)

explain285.0ms (2.7%)

preprocess180.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify131.0ms (1.2%)

localize119.0ms (1.1%)

series81.0ms (0.8%)

simplify227.0ms (2.1%)

rewrite114.0ms (1.1%)

eval108.0ms (1%)

prune23.0ms (0.2%)

simplify111.0ms (1%)

localize210.0ms (2%)

series49.0ms (0.5%)

simplify160.0ms (1.5%)

rewrite259.0ms (2.4%)

eval88.0ms (0.8%)

prune47.0ms (0.4%)

simplify91.0ms (0.9%)

localize299.0ms (2.8%)

series87.0ms (0.8%)

simplify179.0ms (1.7%)

rewrite169.0ms (1.6%)

eval119.0ms (1.1%)

prune29.0ms (0.3%)

simplify101.0ms (1%)

localize323.0ms (3%)

series50.0ms (0.5%)

simplify187.0ms (1.8%)

rewrite183.0ms (1.7%)

eval84.0ms (0.8%)

prune31.0ms (0.3%)

regimes166.0ms (1.6%)

regimes102.0ms (1%)

regimes125.0ms (1.2%)

regimes92.0ms (0.9%)

regimes56.0ms (0.5%)

regimes65.0ms (0.6%)

regimes65.0ms (0.6%)

regimes34.0ms (0.3%)

regimes16.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch39.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify70.0ms (0.7%)

soundness962.0ms (9.1%)

preprocess103.0ms (1%)

end0.0ms (0%)

Profiling