Toniolo and Linder, Equation (2)

Time bar (total: 12.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze491.0ms (4%)

Memory
-15.5MiB live, 585.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample3.6s (29.6%)

Memory
91.4MiB live, 4 503.6MiB allocated
Samples
1.1s7 428×0invalid
1.0s3 875×1valid
614.0ms4 381×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-div: 664.0ms (32.2% of total)
ival-pow2: 444.0ms (21.5% of total)
ival-asin: 214.0ms (10.4% of total)
ival-add: 214.0ms (10.4% of total)
ival-sqrt: 140.0ms (6.8% of total)
ival-mult: 136.0ms (6.6% of total)
ival-sub: 120.0ms (5.8% of total)
adjust: 93.0ms (4.5% of total)
exact: 18.0ms (0.9% of total)
ival-true: 13.0ms (0.6% of total)
ival-assert: 7.0ms (0.3% of total)
Bogosity

explain266.0ms (2.2%)

Memory
21.8MiB live, 333.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
370-2(-1.1629902892160991e+232 3.652837639207748e+76 -7.20887966857642e-283 -5.841860875709585e-72)(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
7122(-9.117180828706584e-296 -3.254540921243475e+62 2.5315520070764594e+68 8.295957989233483e+158)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)))))))
30-0-(/.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)))))
00-0-Om
00-0-t
00-0-(/.f64 t l)
00-0-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
00-0-Omc
00-0-(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
00-0-(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
00-0-(/.f64 Om Omc)
00-0-#s(literal 2 binary64)
00-0-l
00-0-(pow.f64 (/.f64 t l) #s(literal 2 binary64))
00-0-(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
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)))))))sensitivity1291
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-rescue350
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))underflow65
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))underflow71
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))underflow30
(pow.f64 (/.f64 t l) #s(literal 2 binary64))underflow71
(/.f64 t l)underflow29
(/.f64 Om Omc)underflow53
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))underflow127
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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/o30
(pow.f64 (/.f64 t l) #s(literal 2 binary64))overflow68
(/.f64 t l)overflow32
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))overflow68
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))overflow68
Confusion
Predicted +Predicted -
+450
-12289
Precision
0.2694610778443114
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4500
-122188
Precision?
0.26785714285714285
Recall?
1.0
Freqs
test
numberfreq
089
1167
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
78.0ms246×1valid
34.0ms266×0valid
Compiler

Compiled 320 to 68 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-pow2: 19.0ms (22.8% of total)
ival-mult: 18.0ms (21.6% of total)
ival-div: 17.0ms (20.4% of total)
ival-asin: 9.0ms (10.8% of total)
adjust: 7.0ms (8.4% of total)
ival-sqrt: 5.0ms (6% of total)
ival-sub: 4.0ms (4.8% of total)
ival-add: 4.0ms (4.8% of total)
ival-true: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess169.0ms (1.4%)

Memory
-15.0MiB live, 178.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096278
1192270
2396270
31045270
43026270
56156270
01619
02619
13719
26119
312619
426619
556919
6118419
7291019
8515119
9741419
0808518
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
Outputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))
Symmetry

(abs Omc)

(abs Om)

(abs l)

(abs t)

Compiler

Compiled 19 to 16 computations (15.8% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.8%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify121.0ms (1%)

Memory
6.8MiB live, 129.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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-diff0
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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-diff0
(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-diff1
(+.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)

IterNodesCost
01699
02699
13799
26199
312699
426699
556999
6118499
7291099
8515199
9741499
0808595
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l
Outputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l

localize146.0ms (1.2%)

Memory
-22.7MiB live, 93.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.299823779305326
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy0.48448652871076164
(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)))))))
accuracy0.543433077576269
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
accuracy7.929192417250347
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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
31.0ms123×1valid
15.0ms133×0valid
Compiler

Compiled 200 to 34 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 8.0ms (25.5% of total)
ival-pow2: 7.0ms (22.3% of total)
ival-asin: 4.0ms (12.8% of total)
adjust: 3.0ms (9.6% of total)
ival-sqrt: 3.0ms (9.6% of total)
ival-sub: 2.0ms (6.4% of total)
ival-add: 2.0ms (6.4% of total)
ival-mult: 2.0ms (6.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.2%)

Memory
29.2MiB live, 29.2MiB allocated
Counts
5 → 59
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
Outputs
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(/ (pow Om 2) (pow Omc 2))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
Calls

12 calls:

TimeVariablePointExpression
4.0ms
Om
@0
((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2))
3.0ms
t
@inf
((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2))
3.0ms
t
@0
((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2))
3.0ms
Om
@inf
((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2))
3.0ms
l
@0
((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2))

simplify205.0ms (1.7%)

Memory
-22.7MiB live, 129.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03903480
112072950
246562741
081952625
Stop Event
iter limit
node limit
Counts
59 → 59
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(/ (pow Om 2) (pow Omc 2))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(*.f64 (fma.f64 (neg.f64 t) (/.f64 t (*.f64 l l)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(fma.f64 (fma.f64 (neg.f64 t) (/.f64 t (*.f64 l l)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(fma.f64 (fma.f64 (neg.f64 t) (/.f64 t (*.f64 l l)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 l #s(literal 6 binary64))) #s(literal 8 binary64) (/.f64 (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))))) (*.f64 (neg.f64 l) l))))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 t t)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 l l)) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 l l)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))))) (*.f64 t t) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -8 binary64) (*.f64 t t)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 l #s(literal 6 binary64))))) (*.f64 t t) (*.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))
(* 2 (/ (pow t 2) (pow l 2)))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t)
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) l (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t)))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) (*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) l) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) l (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) (*.f64 (pow.f64 t #s(literal 4 binary64)) l)) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 l l)) (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 l #s(literal 8 binary64)) #s(literal 1/16 binary64)) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) (*.f64 (pow.f64 t #s(literal 6 binary64)) l)))) (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) l (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 l #s(literal 4 binary64))) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) (*.f64 t t))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 t #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 l #s(literal 4 binary64))) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) (*.f64 t t))
(/ (- (+ (* -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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(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
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(sqrt (/ 1 (+ 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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(/ (pow Om 2) (pow Omc 2))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) Om) (fma.f64 (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om)
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (+.f64 (fma.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))))) (fma.f64 (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om)
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 (*.f64 Omc Omc) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (*.f64 Om Om))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(*.f64 (*.f64 (neg.f64 Om) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om)
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(*.f64 (neg.f64 Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(*.f64 (neg.f64 Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (+.f64 (fma.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))))) (fma.f64 (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (*.f64 Omc Omc) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (*.f64 Omc Omc) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 3 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (*.f64 Omc Omc) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (*.f64 (/.f64 Omc (pow.f64 Om #s(literal 5 binary64))) (/.f64 Omc (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 3 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))) (pow.f64 Omc #s(literal 4 binary64)))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/.f64 (-.f64 (/.f64 (*.f64 Omc Omc) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) (/.f64 (*.f64 Om Om) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (*.f64 Omc Omc))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) (fma.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (pow.f64 Omc #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))

rewrite218.0ms (1.8%)

Memory
36.7MiB live, 150.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01668
02668
110068
273468
3774268
0900164
Stop Event
iter limit
node limit
iter limit
Counts
5 → 481
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)))
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(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
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(+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
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(+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 Om Omc) (neg.f64 Omc)) (neg.f64 Om))
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(*.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 (/.f64 Om Omc))) (sqrt.f64 (/.f64 Om Omc)))
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(*.f64 (/.f64 (sqrt.f64 (/.f64 Om Omc)) Omc) (/.f64 (sqrt.f64 (/.f64 Om Omc)) (pow.f64 Om #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 Om Omc) #s(literal -1 binary64)) (/.f64 (neg.f64 Om) Omc))
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(*.f64 (*.f64 (pow.f64 Omc #s(literal -2 binary64)) Om) Om)
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(*.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 (/.f64 #s(literal -1 binary64) Omc) (pow.f64 Om #s(literal -1 binary64))))
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(*.f64 (sqrt.f64 (/.f64 Om Omc)) (*.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc)))
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(*.f64 (pow.f64 Omc #s(literal -2 binary64)) (*.f64 Om Om))
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(*.f64 (*.f64 Om Om) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)))
(*.f64 (*.f64 Om Om) (pow.f64 (/.f64 #s(literal -1 binary64) Omc) #s(literal 2 binary64)))
(*.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal -2 binary64)))
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(*.f64 (pow.f64 Omc #s(literal -1 binary64)) (*.f64 (/.f64 Om Omc) Om))
(*.f64 (neg.f64 Om) (/.f64 (neg.f64 Om) (*.f64 Omc Omc)))
(*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc)))
(*.f64 (neg.f64 Om) (/.f64 (/.f64 #s(literal -1 binary64) Omc) (/.f64 Omc Om)))
(*.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) (neg.f64 Omc)))
(*.f64 (neg.f64 Om) (*.f64 (/.f64 #s(literal -1 binary64) Omc) (/.f64 Om Omc)))
(*.f64 (neg.f64 Om) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 Omc Om) (neg.f64 Omc))))
(*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
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(*.f64 Om (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 Omc Om) Omc)))
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(*.f64 Om (*.f64 (pow.f64 Omc #s(literal -2 binary64)) Om))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 Om Omc)))
(pow.f64 (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 Omc Om) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) #s(literal -1 binary64)) Omc)
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(/.f64 (*.f64 (*.f64 Om Om) #s(literal 1 binary64)) (*.f64 Omc Omc))
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(/.f64 (*.f64 (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64)) Omc)
(/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) (neg.f64 Omc))
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(/.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 (neg.f64 Omc) Om))
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 (neg.f64 Omc) Omc))
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(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
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(/.f64 (/.f64 Om Omc) (/.f64 Omc Om))
(/.f64 Om (neg.f64 (*.f64 (/.f64 Omc Om) (neg.f64 Omc))))
(/.f64 Om (*.f64 (/.f64 Omc Om) Omc))
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(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1 binary64)))
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eval376.0ms (3.1%)

Memory
-159.4MiB live, 144.3MiB allocated
Compiler

Compiled 20 213 to 2 574 computations (87.3% saved)

prune22.0ms (0.2%)

Memory
18.4MiB live, 57.3MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New52217539
Fresh000
Picked101
Done000
Total52317540
Accuracy
98.1%
Counts
540 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
51.6%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
65.2%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
65.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
65.2%
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))))
85.8%
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
85.9%
(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)))))
84.0%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64)))))
52.2%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)))))
76.1%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
64.4%
(asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))))
48.6%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
75.1%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
20.9%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t))))))
75.4%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
44.8%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))))
39.3%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
Compiler

Compiled 1 070 to 790 computations (26.2% saved)

simplify125.0ms (1%)

Memory
-26.6MiB live, 130.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))
cost-diff0
(sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))
cost-diff0
(asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)
cost-diff0
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))
cost-diff0
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
cost-diff2
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))
cost-diff0
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
cost-diff0
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
cost-diff2
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))
cost-diff2
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
cost-diff0
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))
cost-diff0
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
cost-diff2
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))
cost-diff0
(/.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-diff0
(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-diff0
(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-diff2
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069771
0120752
1205731
2419731
31067731
43512731
56087731
08103714
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 t l)
t
l
(*.f64 (/.f64 t l) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))
(neg.f64 Om)
Om
(/.f64 Om (*.f64 Omc Omc))
(*.f64 Omc Omc)
Omc
#s(literal 1 binary64)
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(/.f64 Om Omc)
Om
Omc
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t)
(/.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
t
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
(sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))
(neg.f64 Om)
Om
(/.f64 Om (*.f64 Omc Omc))
(*.f64 Omc Omc)
Omc
#s(literal 1 binary64)
(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))
(*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 l (pow.f64 t #s(literal 3 binary64)))
l
(pow.f64 t #s(literal 3 binary64))
t
#s(literal 3 binary64)
(/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -1/8 binary64)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
(fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))
#s(literal -4 binary64)
(pow.f64 (/.f64 t l) #s(literal 4 binary64))
#s(literal 4 binary64)
Outputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 t l)
t
l
(*.f64 (/.f64 t l) #s(literal 2 binary64))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(neg.f64 Om)
Om
(/.f64 Om (*.f64 Omc Omc))
(/.f64 (/.f64 Om Omc) Omc)
(*.f64 Omc Omc)
Omc
#s(literal 1 binary64)
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t)
(/.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
t
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 l t) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) t) l) t) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 l t) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) t) l) t) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)
(*.f64 (/.f64 l t) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) t) l) t) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.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)))
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(neg.f64 Om)
Om
(/.f64 Om (*.f64 Omc Omc))
(/.f64 (/.f64 Om Omc) Omc)
(*.f64 Omc Omc)
Omc
#s(literal 1 binary64)
(fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
(*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64))))
(/.f64 l (pow.f64 t #s(literal 3 binary64)))
l
(pow.f64 t #s(literal 3 binary64))
t
#s(literal 3 binary64)
(/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -1/8 binary64)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 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 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
(fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))
#s(literal -4 binary64)
(pow.f64 (/.f64 t l) #s(literal 4 binary64))
#s(literal 4 binary64)

localize312.0ms (2.5%)

Memory
26.6MiB live, 493.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.48448652871076164
(asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))))
accuracy0.5260082731921836
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))
accuracy7.929192417250347
(sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))
accuracy21.301657966289646
(*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))
accuracy3.6398157808679468
(*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))))
accuracy5.427776287969941
(/.f64 l (pow.f64 t #s(literal 3 binary64)))
accuracy8.599359349259078
(/.f64 Om (*.f64 Omc Omc))
accuracy32.681089672622896
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))
accuracy0.547339327576269
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))
accuracy1.7270308558775846
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))
accuracy6.537354018285072
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t)
accuracy7.929192417251478
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))
accuracy0.48448652871076164
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
accuracy7.929192417250347
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))
accuracy8.599359349259078
(/.f64 Om (*.f64 Omc Omc))
accuracy30.319736967302166
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))
accuracy0.299823779305326
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy0.48448652871076164
(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)))))
accuracy0.543433077576269
(/.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)))
accuracy7.929192417250347
(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
70.0ms40×2valid
60.0ms133×0valid
50.0ms20×3valid
49.0ms54×1valid
18.0ms4valid
Compiler

Compiled 1 431 to 138 computations (90.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 185.0ms
adjust: 37.0ms (20% of total)
ival-mult: 37.0ms (20% of total)
ival-div: 31.0ms (16.8% of total)
ival-sqrt: 20.0ms (10.8% of total)
ival-add: 18.0ms (9.7% of total)
ival-asin: 18.0ms (9.7% of total)
ival-pow2: 11.0ms (5.9% of total)
ival-pow: 8.0ms (4.3% of total)
ival-sub: 3.0ms (1.6% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series119.0ms (1%)

Memory
11.9MiB live, 174.7MiB allocated
Counts
27 → 171
Calls
Call 1
Inputs
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)
(asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om (*.f64 Omc Omc))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))
(/.f64 l (pow.f64 t #s(literal 3 binary64)))
(*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))
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)))
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 3))
(asin (sqrt (/ (* (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))
(- (+ 1 (* (pow t 2) (+ (* -2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2))) (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (+ (* -2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 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)))))))) (/ (pow Om 2) (pow Omc 2)))
(+ 1 (* -2 (/ (pow t 2) (pow l 2))))
(+ 1 (* -1 (/ (pow t 2) (pow l 2))))
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2)))))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2)))))
(* 2 (/ t (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))))))
(/ l (pow t 3))
(/ (pow l 2) (* (pow t 3) (sqrt 1/2)))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 4) (- (* 16 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 8))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 4) (- (* (pow t 4) (- (* 64 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 12))) (* -16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 8))))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4)))))) (/ (pow Om 2) (pow Omc 2)))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t)
(asin (sqrt (/ (* (- 1 (* 2 (/ (pow t 2) (pow l 2)))) (- 1 (/ (pow Om 2) (pow Omc 2)))) (- 1 (* 4 (/ (pow t 4) (pow l 4)))))))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 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))))))) (pow t 2))
(/ (- (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 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)))) (pow t 2))
(* -2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (- (/ 1 (pow t 2)) (* 2 (/ 1 (pow l 2)))))
(/ (* l (sqrt 1/2)) t)
(/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t)
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t)
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t)
(* 1/2 (/ (pow l 2) (pow t 2)))
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2))
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2))
(* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))
(/ (+ (* -1/4 (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))) (pow t 4))
(/ (- (+ (* -1/4 (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* -1/64 (/ (* (pow l 12) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8)))) (* 1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))) (pow t 4))
(/ (- (+ (* -1/4 (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* -1/256 (/ (* (pow l 16) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 12)))) (+ (* 1/64 (/ (* (pow l 12) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* 1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))) (pow t 4))
(* -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 (* (* l (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 (* -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))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (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)))))))))
(/ (+ (* -2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))
(* l (+ (* (pow l 2) (- (* 1/2 (/ (* (pow l 2) (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t)))
(* l (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8)))))) (sqrt 1/2))) (* 1/2 (/ (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t)))
(* (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)))))
(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* -1/16 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8)))))
(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 4) (- (* -1/64 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 12))) (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8)))))))
(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 4) (- (* (pow l 4) (- (* -1/256 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 16))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 12))))) (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8)))))))
(+ (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)))))
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))
(- (+ 1 (+ (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (+ (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2))))
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4)))))
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (+ (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))) (* -1/2 (/ (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4)))) (pow l 6))))))
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2))))
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2)))))
(- (+ 1 (* 16 (/ (* (pow t 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 8)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* 64 (/ (* (pow t 12) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 12)))) (+ (* -16 (/ (* (pow t 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 8))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2)))))
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 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))))))
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))
(/ (pow Om 2) (pow Omc 2))
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))))))
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))))))))
(sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))))
(/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))
(+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (+ (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))
(/ Om (pow Omc 2))
(/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (/ (pow Om 2) (pow Omc 2)))
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2))))
(/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc)
(* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))
(* Om (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))
(* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))
(* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/16 (* (/ (* (pow Omc 5) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))
(* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))
(* (pow Om 2) (+ (* -2 (/ (pow t 2) (* (pow Om 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (+ (* -1 (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (* (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (/ 1 (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))
(* -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) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))
(* -1 (* Om (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/16 (* (/ (* (pow Omc 5) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2))
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* Om (sqrt -1)))) (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) Omc)
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1))))))) Omc)
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc)
(/ (+ (* 1/2 (* (/ (* (pow Omc 2) (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (* (pow Omc 2) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (* 1/2 (* (/ (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (* 1/16 (* (/ (* (pow Omc 2) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5)))))))))) Omc)
(/ (+ (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Omc 2) (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (pow Omc 2))
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (/ (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))))
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))
Calls

12 calls:

TimeVariablePointExpression
24.0ms
t
@inf
((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (* (/ Om Omc) (/ Om Omc)) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (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 (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (asin (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))))) (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1)))) (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))) (+ (* -2 (pow (/ t l) 2)) 1) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ l (pow t 3)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1)))
13.0ms
l
@inf
((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (* (/ Om Omc) (/ Om Omc)) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (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 (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (asin (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))))) (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1)))) (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))) (+ (* -2 (pow (/ t l) 2)) 1) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ l (pow t 3)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1)))
12.0ms
l
@0
((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (* (/ Om Omc) (/ Om Omc)) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (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 (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (asin (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))))) (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1)))) (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))) (+ (* -2 (pow (/ t l) 2)) 1) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ l (pow t 3)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1)))
10.0ms
Omc
@0
((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (* (/ Om Omc) (/ Om Omc)) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (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 (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (asin (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))))) (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1)))) (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))) (+ (* -2 (pow (/ t l) 2)) 1) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ l (pow t 3)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1)))
10.0ms
t
@0
((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (* (/ Om Omc) (/ Om Omc)) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (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 (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (asin (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))))) (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1)))) (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))) (+ (* -2 (pow (/ t l) 2)) 1) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ l (pow t 3)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1)))

simplify229.0ms (1.9%)

Memory
-14.5MiB live, 257.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093510012
130289240
093838742
Stop Event
iter limit
node limit
Counts
171 → 171
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)))
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 3))
(asin (sqrt (/ (* (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))
(- (+ 1 (* (pow t 2) (+ (* -2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2))) (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (+ (* -2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 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)))))))) (/ (pow Om 2) (pow Omc 2)))
(+ 1 (* -2 (/ (pow t 2) (pow l 2))))
(+ 1 (* -1 (/ (pow t 2) (pow l 2))))
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2)))))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2)))))
(* 2 (/ t (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))))))
(/ l (pow t 3))
(/ (pow l 2) (* (pow t 3) (sqrt 1/2)))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 4) (- (* 16 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 8))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 4) (- (* (pow t 4) (- (* 64 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 12))) (* -16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 8))))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4)))))) (/ (pow Om 2) (pow Omc 2)))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t)
(asin (sqrt (/ (* (- 1 (* 2 (/ (pow t 2) (pow l 2)))) (- 1 (/ (pow Om 2) (pow Omc 2)))) (- 1 (* 4 (/ (pow t 4) (pow l 4)))))))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 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))))))) (pow t 2))
(/ (- (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 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)))) (pow t 2))
(* -2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (- (/ 1 (pow t 2)) (* 2 (/ 1 (pow l 2)))))
(/ (* l (sqrt 1/2)) t)
(/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t)
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t)
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t)
(* 1/2 (/ (pow l 2) (pow t 2)))
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2))
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2))
(* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))
(/ (+ (* -1/4 (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))) (pow t 4))
(/ (- (+ (* -1/4 (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* -1/64 (/ (* (pow l 12) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8)))) (* 1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))) (pow t 4))
(/ (- (+ (* -1/4 (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* -1/256 (/ (* (pow l 16) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 12)))) (+ (* 1/64 (/ (* (pow l 12) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* 1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))) (pow t 4))
(* -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 (* (* l (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 (* -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))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (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)))))))))
(/ (+ (* -2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))
(* l (+ (* (pow l 2) (- (* 1/2 (/ (* (pow l 2) (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t)))
(* l (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8)))))) (sqrt 1/2))) (* 1/2 (/ (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t)))
(* (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)))))
(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* -1/16 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8)))))
(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 4) (- (* -1/64 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 12))) (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8)))))))
(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 4) (- (* (pow l 4) (- (* -1/256 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 16))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 12))))) (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8)))))))
(+ (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)))))
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))
(- (+ 1 (+ (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (+ (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2))))
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4)))))
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (+ (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))) (* -1/2 (/ (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4)))) (pow l 6))))))
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2))))
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2)))))
(- (+ 1 (* 16 (/ (* (pow t 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 8)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* 64 (/ (* (pow t 12) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 12)))) (+ (* -16 (/ (* (pow t 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 8))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2)))))
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 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))))))
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))
(/ (pow Om 2) (pow Omc 2))
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))))))
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))))))))
(sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))))
(/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))
(+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (+ (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))
(/ Om (pow Omc 2))
(/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (/ (pow Om 2) (pow Omc 2)))
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2))))
(/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc)
(* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))
(* Om (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))
(* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))
(* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/16 (* (/ (* (pow Omc 5) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))
(* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))
(* (pow Om 2) (+ (* -2 (/ (pow t 2) (* (pow Om 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (+ (* -1 (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (* (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (/ 1 (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))
(* -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) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))
(* -1 (* Om (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/16 (* (/ (* (pow Omc 5) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2))
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* Om (sqrt -1)))) (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) Omc)
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1))))))) Omc)
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc)
(/ (+ (* 1/2 (* (/ (* (pow Omc 2) (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (* (pow Omc 2) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (* 1/2 (* (/ (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (* 1/16 (* (/ (* (pow Omc 2) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5)))))))))) Omc)
(/ (+ (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Omc 2) (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (pow Omc 2))
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (/ (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))))
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))
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)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64)))))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
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(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
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(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6)))))))
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (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)))))))))
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(/ (+ (* -2 (pow t 2)) (pow l 2)) (pow l 2))
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (*.f64 l l)) (*.f64 l l))
(* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))
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(* l (+ (* (pow l 2) (- (* 1/2 (/ (* (pow l 2) (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t)))
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(* l (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8)))))) (sqrt 1/2))) (* 1/2 (/ (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (*.f64 t t)) (/.f64 #s(literal 1/16 binary64) (pow.f64 t #s(literal 8 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (*.f64 l l) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64))))) (pow.f64 l #s(literal 3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))
(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2)))))
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(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 l l) (pow.f64 t #s(literal 6 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 t #s(literal 4 binary64)))) (*.f64 l l) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 l l))
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))))
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(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* -1/16 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8)))))
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(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 4) (- (* -1/64 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 12))) (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8)))))))
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(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 4) (- (* (pow l 4) (- (* -1/256 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 16))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 12))))) (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/256 binary64) (pow.f64 l #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 16 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 12 binary64))) #s(literal -1/64 binary64))) (pow.f64 l #s(literal 4 binary64)) (*.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))) (pow.f64 l #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 4 binary64))) #s(literal -1/4 binary64))) (pow.f64 l #s(literal 4 binary64)))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (pow.f64 l #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -3 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (pow.f64 l #s(literal 6 binary64)))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) (*.f64 l l)) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(-.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) (*.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l))))))
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))
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(- (+ 1 (+ (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))) (/ (pow Om 2) (pow Omc 2)))
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(- (+ 1 (+ (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2))))
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(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4)))))
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(+ 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))))))
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(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2))))
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(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2)))))
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(- (+ 1 (* 16 (/ (* (pow t 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 8)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2))))
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(- (+ 1 (* 64 (/ (* (pow t 12) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 12)))) (+ (* -16 (/ (* (pow t 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 8))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2)))))
(-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 12 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (pow.f64 l #s(literal 12 binary64))) #s(literal 64 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -16 binary64) (pow.f64 t #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 8 binary64))) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) (*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64)))))))
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))
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(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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)))))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))
(+ (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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) 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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) 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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) 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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) 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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) 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))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))
(/ (pow Om 2) (pow Omc 2))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l))
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) l) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc)))) (*.f64 Om Om) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l))
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))))))))
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(sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))
(sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.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 #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 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))))
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.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 #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 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 Omc Omc)) #s(literal -1/2 binary64))) (*.f64 Om Om) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))
(/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))
(+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (+ (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))
(fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))
(/ Om (pow Omc 2))
(/.f64 Om (*.f64 Omc Omc))
(/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 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 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 Om Om))
(* -1 (/ (pow Om 2) (pow Omc 2)))
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))
(/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc)
(/.f64 (*.f64 (*.f64 Om (*.f64 l (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)
(* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))
(*.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 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.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 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))
(*.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 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.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 Om #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))) Om)
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))
(* Om (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.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 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))) Om)
(* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.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 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))))) Om)
(* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/16 (* (/ (* (pow Omc 5) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.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 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))))) Om)
(* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))
(*.f64 (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))
(* (pow Om 2) (+ (* -2 (/ (pow t 2) (* (pow Om 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (+ (* -1 (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (* (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 Om Om)) (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (*.f64 Omc Omc)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))) (*.f64 Om Om))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))
(/.f64 (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (/ 1 (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #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 #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 (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc))
(/.f64 (*.f64 (*.f64 Om (*.f64 l (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (neg.f64 Omc))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))
(*.f64 (neg.f64 Om) (fma.f64 (*.f64 #s(literal 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))
(*.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 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.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 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))))
(*.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 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.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 Om #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))
(*.f64 (*.f64 (neg.f64 Om) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))
(* -1 (* Om (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))
(*.f64 (neg.f64 Om) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.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 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))))
(* -1 (* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))
(*.f64 (neg.f64 Om) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.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 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/16 (* (/ (* (pow Omc 5) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))))
(*.f64 (neg.f64 Om) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.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 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) Om (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Omc (sqrt.f64 #s(literal -1 binary64))) (/.f64 Omc Om))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 Omc (pow.f64 Om #s(literal 3 binary64))) (/.f64 Omc (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))))) (*.f64 Omc Omc))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 Omc (pow.f64 Om #s(literal 5 binary64))) (/.f64 Omc (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 Om #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))) Omc) Omc (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) #s(literal 1/2 binary64))) (*.f64 Omc Omc))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/.f64 (-.f64 (/.f64 (*.f64 Omc Omc) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))) (/.f64 (*.f64 Om Om) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 Omc Omc))
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2))
(/.f64 (fma.f64 (neg.f64 Om) Om (*.f64 Omc Omc)) (*.f64 Omc Omc))
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* Om (sqrt -1)))) (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) Omc)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 Om (*.f64 l (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) Omc)
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1))))))) Omc)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 l Om)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 Omc Omc) (*.f64 (*.f64 Om (*.f64 l (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) Omc)
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc)
(/.f64 (fma.f64 (*.f64 (*.f64 Om l) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l) Om) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 Om #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 Om #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 Omc Omc))) (*.f64 Omc Omc))) Omc)
(/ (+ (* 1/2 (* (/ (* (pow Omc 2) (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) Omc)
(/.f64 (fma.f64 (*.f64 (*.f64 Omc Omc) #s(literal 1/2 binary64)) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (sqrt.f64 (/.f64 (fma.f64 (/.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 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (* (pow Omc 2) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (* 1/2 (* (/ (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 3 binary64))))) (/.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 Omc Omc)) (*.f64 (*.f64 (pow.f64 Om #s(literal 3 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.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 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)))) (*.f64 Omc Omc))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (* 1/16 (* (/ (* (pow Omc 2) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5)))))))))) Omc)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)) (*.f64 Omc Omc)) (*.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 3 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 Omc Omc) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.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 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)))) (*.f64 Omc Omc))) Omc)
(/ (+ (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Omc 2) (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (pow Omc 2))
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 Omc Omc) (*.f64 (*.f64 (neg.f64 Om) Om) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))) (*.f64 Omc Omc))
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (/ (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (pow Omc 2))
(/.f64 (-.f64 (/.f64 (*.f64 Omc Omc) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 Om Om) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 Omc Omc))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64)))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (*.f64 l (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Omc #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 Om Om)) (*.f64 l (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (*.f64 l (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Omc #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 6 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l))))
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.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 #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 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.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 #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)))))))

rewrite250.0ms (2%)

Memory
27.9MiB live, 269.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069549
0120538
1428515
23226515
09813499
Stop Event
iter limit
node limit
iter limit
Counts
27 → 747
Calls
Call 1
Inputs
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)
(asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om (*.f64 Omc Omc))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))
(/.f64 l (pow.f64 t #s(literal 3 binary64)))
(*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (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 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (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 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 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 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))))
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eval165.0ms (1.4%)

Memory
-11.1MiB live, 217.3MiB allocated
Compiler

Compiled 44 830 to 4 920 computations (89% saved)

prune42.0ms (0.3%)

Memory
1.7MiB live, 86.0MiB allocated
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New87715892
Fresh4812
Picked415
Done000
Total88524909
Accuracy
99.2%
Counts
909 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
51.6%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
65.2%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
52.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
65.2%
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))))
84.0%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64)))))
76.1%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
64.4%
(asin.f64 (sqrt.f64 (*.f64 (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 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))))
51.0%
(asin.f64 (sqrt.f64 (*.f64 #s(approx (+ (* -2 (pow (/ t l) 2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 l l)) (*.f64 t t)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))))
73.4%
(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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
52.2%
(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))))))
48.6%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
75.1%
(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))))))
10.3%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
28.8%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
48.3%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
85.5%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))
83.0%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
75.4%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
48.0%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
50.0%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))))))
44.8%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))))
40.1%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) (*.f64 t t)) t) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
17.5%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))))
Compiler

Compiled 1 897 to 1 308 computations (31% saved)

simplify115.0ms (0.9%)

Memory
5.4MiB live, 117.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff4
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
cost-diff0
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))
cost-diff0
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
cost-diff2
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))
cost-diff2
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
cost-diff0
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
cost-diff0
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
cost-diff0
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
cost-diff2
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
cost-diff0
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))
cost-diff0
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))
cost-diff0
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
cost-diff2
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))
cost-diff0
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
cost-diff0
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))
cost-diff2
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
cost-diff2
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076846
0120805
1197751
2355751
3657751
41395751
52592751
65161751
77211751
08116751
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(/.f64 Om Omc)
Om
Omc
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l
#s(literal 2 binary64)
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))
#s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))
(*.f64 (neg.f64 Om) Om)
(neg.f64 Om)
Om
(*.f64 Omc Omc)
Omc
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(/.f64 Om Omc)
Om
Omc
#s(literal 1 binary64)
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.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 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(/.f64 Om Omc)
Om
Omc
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l)
(*.f64 #s(literal 2 binary64) (/.f64 t l))
#s(literal 2 binary64)
(/.f64 t l)
t
l
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l
#s(literal -1 binary64)
Outputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l
#s(literal 2 binary64)
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
#s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))
#s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))
(neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(*.f64 (neg.f64 Om) Om)
(neg.f64 Om)
Om
(*.f64 Omc Omc)
Omc
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.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 #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(*.f64 #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 1 binary64)
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.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 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l)
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t)
(*.f64 #s(literal 2 binary64) (/.f64 t l))
(*.f64 (/.f64 t l) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 t l)
t
l
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l
#s(literal -1 binary64)

localize496.0ms (4.1%)

Memory
-1.9MiB live, 551.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy7.929192417250347
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))
accuracy28.36390153003298
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))
accuracy29.643539531830374
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
accuracy0.48448652871076164
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
accuracy0.547339327576269
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))
accuracy1.7270308558775846
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))
accuracy7.929192417251478
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))
accuracy0.299823779305326
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
accuracy0.42578125
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
accuracy0.48448652871076164
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
accuracy31.26926678084298
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
accuracy7.929192417250347
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))
accuracy17.793589271841395
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))
accuracy30.319736967302166
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))
accuracy62.26490225534175
#s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))
accuracy0.299823779305326
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
accuracy0.3206209040525221
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
accuracy0.48448652871076164
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))
accuracy8.35924043083576
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
Samples
223.0ms156×1valid
181.0ms93×2valid
3.0ms0valid
Compiler

Compiled 1 470 to 145 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 329.0ms
ival-mult: 116.0ms (35.3% of total)
ival-add: 64.0ms (19.5% of total)
ival-div: 50.0ms (15.2% of total)
adjust: 27.0ms (8.2% of total)
ival-sqrt: 23.0ms (7% of total)
ival-pow2: 15.0ms (4.6% of total)
ival-acos: 14.0ms (4.3% of total)
ival-sub: 6.0ms (1.8% of total)
ival-asin: 6.0ms (1.8% of total)
ival-neg: 4.0ms (1.2% of total)
ival-pi: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series63.0ms (0.5%)

Memory
-5.5MiB live, 113.8MiB allocated
Counts
27 → 167
Calls
Call 1
Inputs
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))
Outputs
(+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 3/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)))))))
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* (pow t 2) (+ (* -5/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* 3/2 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))))))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))
(+ 1 (/ (pow t 2) (pow l 2)))
(+ 1 (* (pow t 2) (+ (* -1/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2)))))
(+ 1 (* (pow t 2) (+ (* (pow t 2) (- (* 1/2 (/ (pow t 2) (pow l 6))) (* 1/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2)))))
(+ 1 (* -1 (/ (pow t 2) (pow l 2))))
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2)))))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2)))))
(+ 1 (* -2 (/ (pow t 2) (pow l 2))))
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2))))))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2))))))
(acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1))))
(* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2))))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))))
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow l 6) (pow (sqrt -1) 2)))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 6) (pow (sqrt -1) 4))))) (+ (* -8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 6))) (/ 1 (* (pow l 6) (pow (sqrt -1) 4)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/2 (* (/ (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))))))))
(/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t)
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t)
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(- (* 1/2 (PI)) (acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(/ (* t (sqrt 2)) l)
(* t (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l)))
(* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l))))
(* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/16 (/ (pow l 5) (* (pow t 6) (pow (sqrt 2) 5)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l)))))
(/ (* l (sqrt 1/2)) t)
(/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t)
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t)
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t)
(* 1/2 (/ (pow l 2) (pow t 2)))
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2))
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2))
(acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))
(/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t)
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t)
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t)
(* -1 (/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t))
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(* -1 (/ (* t (sqrt 2)) l))
(* -1 (* t (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l))))
(* -1 (* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l)))))
(* -1 (* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/16 (/ (pow l 5) (* (pow t 6) (pow (sqrt 2) 5)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l))))))
(* -1 (/ (* l (sqrt 1/2)) t))
(* -1 (/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t))
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t))
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t))
(* -1 (* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))
(* -1 (/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t))
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t))
(* l (+ (* -1/8 (/ (* (pow l 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 3) (sqrt 1/2)))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t)))
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t)))
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8))))))) (sqrt 1/2))) (* 1/2 (/ (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t)))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(/ (+ (* 1/2 (/ (pow l 2) (* t (sqrt 2)))) (* t (sqrt 2))) l)
(/ (+ (* t (sqrt 2)) (* (pow l 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (pow (sqrt 2) 3)))) (* 1/2 (/ 1 (* t (sqrt 2))))))) l)
(/ (+ (* t (sqrt 2)) (* (pow l 2) (+ (* (pow l 2) (- (* 1/16 (/ (pow l 2) (* (pow t 5) (pow (sqrt 2) 5)))) (* 1/8 (/ 1 (* (pow t 3) (pow (sqrt 2) 3)))))) (* 1/2 (/ 1 (* t (sqrt 2))))))) l)
(* l (+ (* -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 l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2)))))
(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))))
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))))
(* (/ (* l (sqrt -1/2)) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))
(* l (+ (* 1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))))))
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2)))) (* -1/16 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 8)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1)))))))))))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4))))) (pow l 6))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(+ 1 (+ (* -1/2 (/ (pow t 4) (pow l 4))) (/ (pow t 2) (pow l 2))))
(+ 1 (+ (* -1/2 (/ (pow t 4) (pow l 4))) (+ (* 1/2 (/ (pow t 6) (pow l 6))) (/ (pow t 2) (pow l 2)))))
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4)))))
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (+ (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))) (* -1/2 (/ (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4)))) (pow l 6))))))
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2))))
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))
(+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* -1 (/ (* (pow t 2) (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow l 6) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(/ (pow Om 2) (pow Omc 2))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(* -1 (/ (pow Om 2) (pow Omc 2)))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))
(* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))
(+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/16 (* (/ (pow Om 2) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))))
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2))))
(* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(* -1 (* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2))
(/ (+ (* -1/2 (* (/ (pow Omc 2) Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) Omc)
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/8 (* (/ (pow Omc 2) (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) Omc)
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/16 (* (/ (pow Omc 2) (pow Om 5)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) Omc)
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/16 (* (/ (pow Om 6) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))
Calls

12 calls:

TimeVariablePointExpression
10.0ms
l
@0
((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* (neg Om) Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1))))
6.0ms
t
@inf
((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* (neg Om) Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1))))
6.0ms
Om
@inf
((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* (neg Om) Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1))))
4.0ms
t
@0
((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* (neg Om) Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1))))
4.0ms
l
@inf
((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* (neg Om) Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1))))

simplify215.0ms (1.8%)

Memory
31.0MiB live, 273.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09899001
132017888
085117413
Stop Event
iter limit
node limit
Counts
167 → 167
Calls
Call 1
Inputs
(+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 3/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)))))))
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* (pow t 2) (+ (* -5/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* 3/2 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))))))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))
(+ 1 (/ (pow t 2) (pow l 2)))
(+ 1 (* (pow t 2) (+ (* -1/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2)))))
(+ 1 (* (pow t 2) (+ (* (pow t 2) (- (* 1/2 (/ (pow t 2) (pow l 6))) (* 1/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2)))))
(+ 1 (* -1 (/ (pow t 2) (pow l 2))))
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2)))))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2)))))
(+ 1 (* -2 (/ (pow t 2) (pow l 2))))
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2))))))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2))))))
(acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1))))
(* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2))))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))))
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow l 6) (pow (sqrt -1) 2)))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 6) (pow (sqrt -1) 4))))) (+ (* -8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 6))) (/ 1 (* (pow l 6) (pow (sqrt -1) 4)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/2 (* (/ (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))))))))
(/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t)
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t)
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(- (* 1/2 (PI)) (acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(/ (* t (sqrt 2)) l)
(* t (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l)))
(* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l))))
(* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/16 (/ (pow l 5) (* (pow t 6) (pow (sqrt 2) 5)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l)))))
(/ (* l (sqrt 1/2)) t)
(/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t)
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t)
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t)
(* 1/2 (/ (pow l 2) (pow t 2)))
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2))
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2))
(acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))
(/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t)
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t)
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t)
(* -1 (/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t))
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(* -1 (/ (* t (sqrt 2)) l))
(* -1 (* t (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l))))
(* -1 (* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l)))))
(* -1 (* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/16 (/ (pow l 5) (* (pow t 6) (pow (sqrt 2) 5)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l))))))
(* -1 (/ (* l (sqrt 1/2)) t))
(* -1 (/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t))
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t))
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t))
(* -1 (* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))
(* -1 (/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t))
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t))
(* l (+ (* -1/8 (/ (* (pow l 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 3) (sqrt 1/2)))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t)))
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t)))
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8))))))) (sqrt 1/2))) (* 1/2 (/ (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t)))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(/ (+ (* 1/2 (/ (pow l 2) (* t (sqrt 2)))) (* t (sqrt 2))) l)
(/ (+ (* t (sqrt 2)) (* (pow l 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (pow (sqrt 2) 3)))) (* 1/2 (/ 1 (* t (sqrt 2))))))) l)
(/ (+ (* t (sqrt 2)) (* (pow l 2) (+ (* (pow l 2) (- (* 1/16 (/ (pow l 2) (* (pow t 5) (pow (sqrt 2) 5)))) (* 1/8 (/ 1 (* (pow t 3) (pow (sqrt 2) 3)))))) (* 1/2 (/ 1 (* t (sqrt 2))))))) l)
(* l (+ (* -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 l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2)))))
(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))))
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))))
(* (/ (* l (sqrt -1/2)) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))
(* l (+ (* 1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))))))
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2)))) (* -1/16 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 8)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1)))))))))))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4))))) (pow l 6))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(+ 1 (+ (* -1/2 (/ (pow t 4) (pow l 4))) (/ (pow t 2) (pow l 2))))
(+ 1 (+ (* -1/2 (/ (pow t 4) (pow l 4))) (+ (* 1/2 (/ (pow t 6) (pow l 6))) (/ (pow t 2) (pow l 2)))))
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4)))))
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (+ (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))) (* -1/2 (/ (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4)))) (pow l 6))))))
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2))))
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))
(+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* -1 (/ (* (pow t 2) (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow l 6) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(/ (pow Om 2) (pow Omc 2))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(* -1 (/ (pow Om 2) (pow Omc 2)))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))
(* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))
(+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/16 (* (/ (pow Om 2) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))))
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2))))
(* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(* -1 (* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2))
(/ (+ (* -1/2 (* (/ (pow Omc 2) Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) Omc)
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/8 (* (/ (pow Omc 2) (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) Omc)
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/16 (* (/ (pow Omc 2) (pow Om 5)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) Omc)
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/16 (* (/ (pow Om 6) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))
Outputs
(+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))
(fma.f64 (*.f64 (neg.f64 t) t) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 l l)) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 3/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal 3/2 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (neg.f64 (*.f64 l l)))) (*.f64 t t) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* (pow t 2) (+ (* -5/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* 3/2 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 t t)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (pow.f64 l #s(literal 6 binary64))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 3/2 binary64))) (*.f64 t t) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (neg.f64 (*.f64 l l)))) (*.f64 t t) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (-.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64)))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 8 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64))) (neg.f64 (*.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) (*.f64 t t) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) (*.f64 l l)) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 t t)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64))) (*.f64 t t) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))))
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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) (+ (* -1/8 (* (/ 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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(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
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(* l (+ (* (pow l 2) (- (* 1/2 (/ (* (pow l 2) (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t)))
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(* l (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8)))))) (sqrt 1/2))) (* 1/2 (/ (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t)))
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(* l (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2)))))
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(* (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)))))
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(* (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)))))
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(* (/ (* l (sqrt -1/2)) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))))
(* l (+ (* 1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))
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(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))))))
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(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2)))) (* -1/16 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 8)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1)))))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))) (fma.f64 t (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 t #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (fma.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 t #s(literal 8 binary64))) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 t #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 6 binary64)))) (*.f64 t t))))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/8 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) (pow.f64 l #s(literal 4 binary64)))) (fma.f64 (*.f64 (neg.f64 t) t) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 l l)) #s(literal 1 binary64)))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4))))) (pow l 6))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) t) t (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64))) (pow.f64 l #s(literal 6 binary64))) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (neg.f64 t) t) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 l l)) #s(literal 1 binary64)))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
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(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
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(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(-.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(+ 1 (+ (* -1/2 (/ (pow t 4) (pow l 4))) (/ (pow t 2) (pow l 2))))
(fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 t l) (/.f64 t l) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (pow t 4) (pow l 4))) (+ (* 1/2 (/ (pow t 6) (pow l 6))) (/ (pow t 2) (pow l 2)))))
(+.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 t l) (/.f64 t l) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64)) (pow.f64 l #s(literal 6 binary64))))
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4)))))
(+.f64 (-.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 t l) (/.f64 t l))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (+ (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))) (* -1/2 (/ (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4)))) (pow l 6))))))
(+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) t) t (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64))) (pow.f64 l #s(literal 6 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))))
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2))))
(fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2)))))
(-.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -4 binary64)) (pow.f64 l #s(literal 4 binary64)))))
(+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(literal -1 binary64)))) (pow.f64 l #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (fma.f64 (/.f64 t (sqrt.f64 #s(literal -1 binary64))) (/.f64 t (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* -1 (/ (* (pow t 2) (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow l 6) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) #s(literal -8 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 t t)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 l #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(literal -1 binary64)))) (pow.f64 l #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (fma.f64 (/.f64 t (sqrt.f64 #s(literal -1 binary64))) (/.f64 t (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 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 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))))
(/ (pow Om 2) (pow Omc 2))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(+ (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 (/ (pow Om 2) (pow Omc 2)))
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc 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))))))
(/.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)))
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))
(* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 Om (*.f64 Omc Omc))) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 Om (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 Om (pow.f64 Omc #s(literal 4 binary64))))))) (*.f64 Om Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/16 (* (/ (pow Om 2) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 Om (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 Om (pow.f64 Omc #s(literal 6 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))) Om) Om (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) Omc)) #s(literal 1/2 binary64))) (*.f64 Om Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om 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)))))
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 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 Omc Omc)) (/.f64 #s(literal 1 binary64) (*.f64 Om Om)))) (*.f64 Om Om))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))) Om)
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om)
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om)
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(/.f64 (/.f64 (*.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)))
(* (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))
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))
(* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (/.f64 Om Omc))
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc))) Om)
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Omc)) Om)
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc)))) Om)
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(*.f64 (*.f64 (neg.f64 Om) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(*.f64 (neg.f64 Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(*.f64 (neg.f64 Om) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(*.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))))
(* -1 (* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))
(*.f64 (neg.f64 (/.f64 Om Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))
(*.f64 (neg.f64 Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc))))
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))
(*.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Omc)))
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))
(*.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc)))))
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 Omc Omc (*.f64 #s(literal -1/2 binary64) (*.f64 Om Om)))) (*.f64 Omc Omc))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) Om (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Omc (sqrt.f64 #s(literal -1 binary64))) (/.f64 Omc Om))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 Omc (pow.f64 Om #s(literal 3 binary64))) (/.f64 Omc (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))))) (*.f64 Omc Omc))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 Om #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))) Omc) Omc (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.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))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/.f64 (-.f64 (/.f64 (*.f64 Omc Omc) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) (/.f64 (*.f64 Om Om) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 Omc Omc))
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2))
(/.f64 (fma.f64 (neg.f64 Om) Om (*.f64 Omc Omc)) (*.f64 Omc Omc))
(/ (+ (* -1/2 (* (/ (pow Omc 2) Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) Omc)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Omc Omc) Om) Om)) Omc)
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/8 (* (/ (pow Omc 2) (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) Omc)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Omc Omc) (pow.f64 Om #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) Om)))) (*.f64 Omc Omc) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Om)) Omc)
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/16 (* (/ (pow Omc 2) (pow Om 5)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) Omc)
(/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 Omc Omc) (pow.f64 Om #s(literal 5 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 Om #s(literal 3 binary64)))))) (*.f64 Omc Omc) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Om) #s(literal -1/2 binary64))) (*.f64 Omc Omc) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Om)) Omc)
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.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 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om 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 (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))))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))))
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 Om (*.f64 Omc Omc))) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/16 (* (/ (pow Om 6) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 Om (*.f64 Omc Omc))) (sqrt.f64 #s(literal -1 binary64)))))

rewrite181.0ms (1.5%)

Memory
-6.7MiB live, 184.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076623
0120576
1436528
23348528
08342528
Stop Event
iter limit
node limit
iter limit
Counts
27 → 700
Calls
Call 1
Inputs
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))
Outputs
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.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 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))))
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(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #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 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #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 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (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 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #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 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))

eval175.0ms (1.4%)

Memory
20.9MiB live, 220.0MiB allocated
Compiler

Compiled 52 059 to 4 926 computations (90.5% saved)

prune80.0ms (0.7%)

Memory
-2.2MiB live, 108.9MiB allocated
Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New989121 001
Fresh61218
Picked235
Done011
Total997281 025
Accuracy
99.3%
Counts
1 025 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
50.5%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
52.9%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))))
51.6%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
49.2%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))))))
65.2%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
52.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
51.0%
(asin.f64 (sqrt.f64 (*.f64 #s(approx (+ (* -2 (pow (/ t l) 2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 l l)) (*.f64 t t)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))))
73.4%
(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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
52.2%
(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))))))
48.6%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
75.1%
(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))))))
9.4%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
10.3%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
28.8%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
10.2%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc)))))))
48.3%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
73.3%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
42.2%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
64.9%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (fma.f64 (/.f64 t l) (/.f64 t l) #s(literal 1 binary64)))))))
47.7%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))))))
47.3%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (*.f64 (fma.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t))))))
50.0%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))))))
48.0%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
44.8%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))))
40.1%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) (*.f64 t t)) t) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
50.2%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
17.5%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))))
Compiler

Compiled 2 294 to 1 561 computations (32% saved)

simplify153.0ms (1.3%)

Memory
-32.8MiB live, 123.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))
cost-diff0
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))))
cost-diff0
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))))
cost-diff2
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
cost-diff0
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))
cost-diff0
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
cost-diff2
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))
cost-diff2
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
cost-diff0
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
cost-diff0
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
cost-diff0
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
cost-diff2
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
cost-diff0
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))
cost-diff0
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))
cost-diff0
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
cost-diff2
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))
cost-diff0
#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))))
cost-diff0
(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)))))
cost-diff0
(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))))))
cost-diff2
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01001059
01491009
1270976
2554976
31329976
43469976
54144976
65314976
76405976
87187976
08115944
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(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))))))
(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)))))
#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))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t)
(/.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
t
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) Omc)
#s(literal -1/2 binary64)
Omc
(/.f64 (*.f64 Om Om) Omc)
(*.f64 Om Om)
Om
#s(literal 1 binary64)
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(*.f64 Om Om)
Om
(*.f64 Omc Omc)
Omc
#s(literal 1 binary64)
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(/.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 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(*.f64 Om Om)
Om
(*.f64 Omc Omc)
Omc
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l)
(*.f64 #s(literal 2 binary64) (/.f64 t l))
#s(literal 2 binary64)
(/.f64 t l)
t
l
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))))
#s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))
#s(literal 1 binary64)
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(/.f64 Om Omc)
Om
Omc
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
t
l
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(literal -1/8 binary64)
(/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 l #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 t #s(literal 3 binary64))
Outputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 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)))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t)
(/.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
t
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) Omc)
#s(literal -1/2 binary64)
Omc
(/.f64 (*.f64 Om Om) Omc)
(*.f64 Om Om)
Om
#s(literal 1 binary64)
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(*.f64 #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(*.f64 Om Om)
Om
(*.f64 Omc Omc)
Omc
#s(literal 1 binary64)
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(/.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 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(*.f64 Om Om)
Om
(*.f64 Omc Omc)
Omc
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l)
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t)
(*.f64 #s(literal 2 binary64) (/.f64 t l))
(*.f64 (/.f64 t l) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 t l)
t
l
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 t #s(literal 3 binary64))) (*.f64 l (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 t #s(literal 3 binary64))) (*.f64 l (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t))))))
#s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))
#s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 t #s(literal 3 binary64))) (*.f64 l (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 t #s(literal 3 binary64))) (*.f64 l (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 l (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 l (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
t
l
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 l #s(literal 3 binary64)))
#s(literal -1/8 binary64)
(/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 l #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 t #s(literal 3 binary64))

localize383.0ms (3.1%)

Memory
-11.3MiB live, 373.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.48448652871076164
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))))
accuracy7.72905270737096
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
accuracy23.64967739596069
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))
accuracy32.681089672622896
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))))
accuracy0.547339327576269
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))
accuracy1.7270308558775846
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))
accuracy7.929192417251478
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))
accuracy17.678818792046027
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
accuracy0.42578125
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
accuracy0.48448652871076164
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
accuracy17.678818792046027
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
accuracy31.26926678084298
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
accuracy0.15499529734132061
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))
accuracy0.48448652871076164
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
accuracy6.108638428831094
(/.f64 (*.f64 Om Om) Omc)
accuracy30.027621460734302
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))
accuracy0.547339327576269
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))
accuracy1.7270308558775846
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))
accuracy6.537354018285072
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t)
accuracy7.929192417250347
(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)))))
Samples
139.0ms123×1valid
108.0ms133×0valid
Compiler

Compiled 1 730 to 188 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-mult: 90.0ms (44.7% of total)
ival-div: 41.0ms (20.3% of total)
ival-sqrt: 15.0ms (7.4% of total)
adjust: 14.0ms (6.9% of total)
ival-add: 14.0ms (6.9% of total)
ival-pow: 8.0ms (4% of total)
ival-pow2: 7.0ms (3.5% of total)
ival-asin: 5.0ms (2.5% of total)
ival-sub: 4.0ms (2% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series78.0ms (0.6%)

Memory
41.7MiB live, 151.2MiB allocated
Counts
28 → 166
Calls
Call 1
Inputs
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #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)) (+ 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)))))
#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))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))))
#s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))
(/.f64 (*.f64 Om Om) Omc)
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 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)))
(+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 3/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)))))))
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* (pow t 2) (+ (* -5/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* 3/2 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))))))))
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 3))
(* 2 (/ t (pow l 2)))
(+ 1 (* -2 (/ (pow t 2) (pow l 2))))
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2))))))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2))))))
(+ 1 (* -1 (/ (pow t 2) (pow l 2))))
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2)))))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2)))))
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 3))
(* -1/8 (/ (pow l 3) (sqrt 1/2)))
(+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))
(* 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))
(/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t)
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t)
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t)
(* 1/2 (/ (pow l 2) (pow t 2)))
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2))
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2))
(/ (* l (sqrt 1/2)) t)
(/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t)
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t)
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t)
(* l (* (pow t 2) (sqrt 1/2)))
(* (pow t 2) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(* -1 (/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t))
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t))
(* -1 (/ (+ (* -1 (* (* l (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 (* -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 (* (* l (sqrt 1/2)) (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))))))) t))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* l (+ (* -1/8 (/ (* (pow l 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 3) (sqrt 1/2)))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t)))
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t)))
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8))))))) (sqrt 1/2))) (* 1/2 (/ (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t)))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))
(* (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 (+ (* -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))
(* l (+ (* -1/8 (/ (pow l 2) (sqrt 1/2))) (* (pow t 2) (sqrt 1/2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4))))) (pow l 6))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (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)))))
(+ 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))))))
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* (pow l 3) (- (/ (* (pow t 2) (sqrt 1/2)) (pow l 2)) (* 1/8 (/ 1 (sqrt 1/2)))))
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(* -1 (* (pow l 3) (+ (* -1 (/ (* (pow t 2) (sqrt 1/2)) (pow l 2))) (* 1/8 (/ 1 (sqrt 1/2))))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ 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 Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))))))
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))))))))
(/ (pow Om 2) Omc)
(/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (pow t 3))
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (/ (* l (sqrt 1/2)) t)))
(+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 2) (pow t 3)))) (* -1/8 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))))) (/ (* l (sqrt 1/2)) t)))
(+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 2) (pow t 3)))) (* (pow Om 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 4) (pow t 3)))) (* -1/16 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 6) (pow t 3)))))))) (/ (* l (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 Om 2) (- (/ 1 (pow Om 2)) (* 1/2 (/ 1 (pow Omc 2)))))
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc)
(* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))
(/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (* Omc (pow t 3)))
(* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 6) (* (pow t 3) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))))
(* -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) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))))
(* -1 (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (* Omc (pow t 3))))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 6) (* (pow t 3) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))))))
(/ (+ (* 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 Omc 2)) (pow Omc 2))
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2))
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* Om (sqrt -1)))) (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) Omc)
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1))))))) Omc)
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc)
(/ (+ (* 1/2 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Om (* (pow t 3) (sqrt -1))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 3) (* (pow t 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* Om (* (pow t 3) (sqrt -1))))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* Om (* (pow t 3) (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Om 3) (* (pow t 3) (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 5) (* (pow t 3) (pow (sqrt -1) 5))))))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) 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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))))
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (/ (* l (sqrt 1/2)) t))))
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 6) (pow t 3)))) (/ (* l (sqrt 1/2)) t)))))
Calls

12 calls:

TimeVariablePointExpression
18.0ms
l
@inf
((+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (/ (* 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))))) (* (+ (* -1/2 (/ (* Om Om) (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ Om 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))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ (* Om Om) Omc) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (/ (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2))))) (pow t 3)) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2)))))
8.0ms
l
@0
((+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (/ (* 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))))) (* (+ (* -1/2 (/ (* Om Om) (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ Om 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))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ (* Om Om) Omc) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (/ (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2))))) (pow t 3)) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2)))))
8.0ms
l
@-inf
((+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (/ (* 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))))) (* (+ (* -1/2 (/ (* Om Om) (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ Om 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))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ (* Om Om) Omc) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (/ (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2))))) (pow t 3)) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2)))))
5.0ms
Omc
@0
((+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (/ (* 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))))) (* (+ (* -1/2 (/ (* Om Om) (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ Om 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))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ (* Om Om) Omc) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (/ (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2))))) (pow t 3)) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2)))))
5.0ms
t
@0
((+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (/ (* 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))))) (* (+ (* -1/2 (/ (* Om Om) (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ Om 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))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ (* Om Om) Omc) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (/ (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2))))) (pow t 3)) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2)))))

simplify186.0ms (1.5%)

Memory
-21.9MiB live, 300.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09079041
131168305
084547877
Stop Event
iter limit
node limit
Counts
166 → 166
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 (* -1/2 (/ (pow Om 2) (pow Omc 2))))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 3/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)))))))
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* (pow t 2) (+ (* -5/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* 3/2 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))))))))
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 3))
(* 2 (/ t (pow l 2)))
(+ 1 (* -2 (/ (pow t 2) (pow l 2))))
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2))))))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2))))))
(+ 1 (* -1 (/ (pow t 2) (pow l 2))))
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2)))))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2)))))
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 3))
(* -1/8 (/ (pow l 3) (sqrt 1/2)))
(+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))
(* 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))
(/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t)
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t)
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t)
(* 1/2 (/ (pow l 2) (pow t 2)))
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2))
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2))
(/ (* l (sqrt 1/2)) t)
(/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t)
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t)
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t)
(* l (* (pow t 2) (sqrt 1/2)))
(* (pow t 2) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(* -1 (/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t))
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t))
(* -1 (/ (+ (* -1 (* (* l (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 (* -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 (* (* l (sqrt 1/2)) (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))))))) t))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* l (+ (* -1/8 (/ (* (pow l 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 3) (sqrt 1/2)))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t)))
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t)))
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8))))))) (sqrt 1/2))) (* 1/2 (/ (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t)))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))
(* (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 (+ (* -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))
(* l (+ (* -1/8 (/ (pow l 2) (sqrt 1/2))) (* (pow t 2) (sqrt 1/2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4))))) (pow l 6))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (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)))))
(+ 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))))))
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* (pow l 3) (- (/ (* (pow t 2) (sqrt 1/2)) (pow l 2)) (* 1/8 (/ 1 (sqrt 1/2)))))
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(* -1 (* (pow l 3) (+ (* -1 (/ (* (pow t 2) (sqrt 1/2)) (pow l 2))) (* 1/8 (/ 1 (sqrt 1/2))))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ 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 Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))))))
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))))))))
(/ (pow Om 2) Omc)
(/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (pow t 3))
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (/ (* l (sqrt 1/2)) t)))
(+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 2) (pow t 3)))) (* -1/8 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))))) (/ (* l (sqrt 1/2)) t)))
(+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 2) (pow t 3)))) (* (pow Om 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 4) (pow t 3)))) (* -1/16 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 6) (pow t 3)))))))) (/ (* l (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 Om 2) (- (/ 1 (pow Om 2)) (* 1/2 (/ 1 (pow Omc 2)))))
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc)
(* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))
(/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (* Omc (pow t 3)))
(* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 6) (* (pow t 3) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))))
(* -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) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))))
(* -1 (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (* Omc (pow t 3))))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 6) (* (pow t 3) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))))))
(/ (+ (* 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 Omc 2)) (pow Omc 2))
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2))
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* Om (sqrt -1)))) (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) Omc)
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1))))))) Omc)
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc)
(/ (+ (* 1/2 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Om (* (pow t 3) (sqrt -1))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 3) (* (pow t 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* Om (* (pow t 3) (sqrt -1))))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* Om (* (pow t 3) (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Om 3) (* (pow t 3) (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 5) (* (pow t 3) (pow (sqrt -1) 5))))))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) 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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))))
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (/ (* l (sqrt 1/2)) t))))
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 6) (pow t 3)))) (/ (* l (sqrt 1/2)) t)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))))) (*.f64 t t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 8 binary64) (/.f64 (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (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 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))))) (neg.f64 (*.f64 l l)))) (*.f64 t t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.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))) (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 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) (*.f64 t t) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) (*.f64 l l)) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64)))) #s(literal -8 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64))) (*.f64 t t) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))
(+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))
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(* -1 (/ (+ (* -1 (* (* l (sqrt 1/2)) (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))))))) t))
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
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(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
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(* l (+ (* -1/8 (/ (* (pow l 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 3) (sqrt 1/2)))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t)))
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(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t)))
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(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8))))))) (sqrt 1/2))) (* 1/2 (/ (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t)))
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(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))
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(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2)))))
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(* (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)))))
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(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 l l) (pow.f64 t #s(literal 8 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64)))) (*.f64 l l) (/.f64 #s(literal -1/4 binary64) (pow.f64 t #s(literal 4 binary64)))) (*.f64 l l) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 l l))
(* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))
(*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 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 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (*.f64 t t)) (/.f64 #s(literal 1/16 binary64) (pow.f64 t #s(literal 8 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 t (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) (*.f64 l l) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 l l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l)
(* l (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(* l (+ (* -1/8 (/ (pow l 2) (sqrt 1/2))) (* (pow t 2) (sqrt 1/2))))
(*.f64 (fma.f64 (*.f64 t t) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) l)
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (pow.f64 l #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) (*.f64 l 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)))))
(-.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) #s(literal 1 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) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) (*.f64 l l)) #s(literal 2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) (pow.f64 l #s(literal 4 binary64)))) (fma.f64 (neg.f64 (*.f64 t t)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 l l)) #s(literal 1 binary64)))
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4))))) (pow l 6))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #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 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (neg.f64 (*.f64 t t)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 l l)) #s(literal 1 binary64)))
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))))) (pow.f64 l #s(literal 3 binary64)))
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2))))
(fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2)))))
(-.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -4 binary64)) (pow.f64 l #s(literal 4 binary64)))))
(+ 1 (+ (* -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) (+.f64 (/.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 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))))
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) (* (pow l 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)))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))))) (pow.f64 l #s(literal 3 binary64)))
(* (pow l 3) (- (/ (* (pow t 2) (sqrt 1/2)) (pow l 2)) (* 1/8 (/ 1 (sqrt 1/2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 l #s(literal 3 binary64)))
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))
(*.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t))))))
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(*.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t))))))
(* -1 (* (pow l 3) (+ (* -1 (/ (* (pow t 2) (sqrt 1/2)) (pow l 2))) (* 1/8 (/ 1 (sqrt 1/2))))))
(*.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))))
(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 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 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 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)))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.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) (pow.f64 Omc #s(literal 4 binary64))))) (*.f64 Om Om))) (*.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 (+ 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))))))
(/.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)))
(/ (pow Om 2) (pow Omc 2))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l))
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 l (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc))) #s(literal -1/2 binary64))) (*.f64 Om Om) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l))
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l) Omc) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (*.f64 l (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Omc #s(literal 4 binary64)))) #s(literal -1/8 binary64))) (*.f64 Om Om))) (*.f64 Om Om) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l))
(/ (pow Om 2) Omc)
(/.f64 (*.f64 Om Om) Omc)
(/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (pow t 3))
(/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64)))
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (/ (* l (sqrt 1/2)) t)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Om Om)) (*.f64 Omc Omc)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))
(+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 2) (pow t 3)))) (* -1/8 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))))) (/ (* l (sqrt 1/2)) t)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Omc Omc)) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Om Om)) (pow.f64 Omc #s(literal 4 binary64))))) (*.f64 Om Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))
(+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 2) (pow t 3)))) (* (pow Om 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 4) (pow t 3)))) (* -1/16 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 6) (pow t 3)))))))) (/ (* l (sqrt 1/2)) t)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Om Om)) (pow.f64 t #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64))))) (*.f64 Om Om) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64))))) (*.f64 Om Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))
(* (/ (* 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 (*.f64 #s(literal -1/8 binary64) (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 (*.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 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)
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(/.f64 (neg.f64 (*.f64 Om Om)) (*.f64 (*.f64 Omc Omc) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))
(* (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))
(* -1/2 (/ (pow Om 2) (pow Omc 2)))
(*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))
(* (pow Om 2) (- (/ 1 (pow Om 2)) (* 1/2 (/ 1 (pow Omc 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om 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)))))
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (/.f64 #s(literal 1 binary64) (*.f64 Om Om)))) (*.f64 Om Om))
(/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc)
(/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) Omc)
(* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.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 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.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 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))) Om)
(/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (* Omc (pow t 3)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64))))
(* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 Omc (*.f64 Om Om)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64))))) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 Omc (*.f64 Om Om)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64)))))) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 6) (* (pow t 3) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 Omc (*.f64 Om Om)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64))))))) 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 (*.f64 #s(literal -1/8 binary64) (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 (*.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 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) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc))
(/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) (neg.f64 Omc))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.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 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))))
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.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 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))))
(* -1 (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (* Omc (pow t 3))))
(*.f64 (neg.f64 Om) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64)))))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))))
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 (*.f64 (/.f64 Omc (*.f64 Om Om)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))))
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 Omc (*.f64 Om Om)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64)))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 6) (* (pow t 3) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))))))
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 Omc (*.f64 Om Om)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64))))))))
(/ (+ (* 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 (*.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 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 Omc (pow.f64 Om #s(literal 3 binary64))) (/.f64 Omc (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.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 #s(literal 1/2 binary64) (*.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)))) (*.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 (pow.f64 Om #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))) (*.f64 Omc Omc))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/.f64 (-.f64 (/.f64 (*.f64 Omc Omc) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) (/.f64 (*.f64 Om Om) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 Omc Omc))
(/ (+ (* -1/2 (pow Om 2)) (pow Omc 2)) (pow Omc 2))
(/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc))
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc))) (*.f64 Omc Omc))
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* Om (sqrt -1)))) (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) Omc)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) Omc)
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1))))))) Omc)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 l Om)) #s(literal 1/2 binary64))) (*.f64 Omc Omc) (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) Omc)
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc)
(/.f64 (fma.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l) Om) (*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 3 binary64))) (*.f64 (/.f64 l #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 Omc Omc))) (*.f64 Omc Omc))) Omc)
(/ (+ (* 1/2 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Om (* (pow t 3) (sqrt -1))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 Om (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Omc Omc)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64)))) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 3) (* (pow t 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* Om (* (pow t 3) (sqrt -1))))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Omc Omc)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 Om (pow.f64 t #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64)))) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* Om (* (pow t 3) (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Om 3) (* (pow t 3) (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 5) (* (pow t 3) (pow (sqrt -1) 5))))))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Omc Omc)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 Omc Omc) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 Om (pow.f64 t #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64)))) 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 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om 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 (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 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (pow.f64 Omc #s(literal 4 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 6 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l))))
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (/ (* l (sqrt 1/2)) t))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Om Om)) (*.f64 Omc Omc)) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 6) (pow t 3)))) (/ (* l (sqrt 1/2)) t)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Om Om)) (*.f64 Omc Omc)) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 Om #s(literal 6 binary64)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))

rewrite175.0ms (1.4%)

Memory
13.3MiB live, 164.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100848
0149794
1563771
23877771
08172740
Stop Event
iter limit
node limit
iter limit
Counts
28 → 541
Calls
Call 1
Inputs
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #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)) (+ 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)))))
#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))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))))
#s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))
(/.f64 (*.f64 Om Om) Omc)
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
Outputs
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #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)) (pow.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 l t) #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)) (pow.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (*.f64 t t) l) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (*.f64 t t) l) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (*.f64 l (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) t (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (*.f64 t t) l) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (*.f64 t t) l) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (*.f64 l (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) t (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (*.f64 t t) l) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l) #s(literal -1/8 binary64)) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (*.f64 t t) l) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 l (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) t (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (*.f64 t t) l) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (*.f64 t t) l) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))))
(fma.f64 (*.f64 l (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) t (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l))
(fma.f64 (*.f64 t l) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (*.f64 t l) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 t t) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 t t) l) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (*.f64 t l)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 t (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t l)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (*.f64 t t) l) #s(literal 2 binary64))) (fma.f64 (*.f64 l (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) t (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 l (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) t (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l))

eval101.0ms (0.8%)

Memory
2.3MiB live, 159.9MiB allocated
Compiler

Compiled 41 212 to 3 609 computations (91.2% saved)

prune65.0ms (0.5%)

Memory
-0.2MiB live, 96.0MiB allocated
Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New61216628
Fresh91019
Picked325
Done134
Total62531656
Accuracy
99.3%
Counts
656 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
50.5%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
52.9%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))))
51.6%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
49.2%
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))))))
65.0%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
52.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
52.2%
(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))))))
48.6%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
82.8%
(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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
75.1%
(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 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))))
85.4%
(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 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
75.1%
(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))))))
25.2%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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)))))))
52.1%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64))))))
22.6%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) (*.f64 t t)) #s(literal 1/2 binary64)))))
47.6%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #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))))))
27.9%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t))))))
10.2%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc)))))))
48.3%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
42.2%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
42.2%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))))
47.7%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))))))
47.3%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (*.f64 (fma.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t))))))
48.0%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
44.8%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))))
52.2%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
25.4%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc))))))
11.0%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
28.8%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
17.5%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2)))) (*.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64))))))
Compiler

Compiled 4 128 to 1 424 computations (65.5% saved)

regimes270.0ms (2.2%)

Memory
12.9MiB live, 359.2MiB allocated
Counts
61 → 2
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #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)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) (*.f64 t t)) #s(literal 1/2 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (fma.f64 (/.f64 t l) (/.f64 t l) #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (*.f64 (fma.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) (*.f64 t t)) t) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2)))) (*.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(asin.f64 (sqrt.f64 (*.f64 #s(approx (+ (* -2 (pow (/ t l) 2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 l l)) (*.f64 t t)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 (*.f64 (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 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))))
(asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))))
Outputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
Calls

14 calls:

38.0ms
l
22.0ms
(/.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)))))
20.0ms
(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)))))))
20.0ms
Omc
18.0ms
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
88.4%2t
91.6%2l
85.9%1Om
85.9%1Omc
99.1%2(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
99.1%2(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
99.1%2(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
85.9%1(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
85.9%1(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
85.9%1(/.f64 Om Omc)
99.1%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
99.1%2(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
99.1%2(pow.f64 (/.f64 t l) #s(literal 2 binary64))
99.1%2(/.f64 t l)
Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes116.0ms (0.9%)

Memory
10.7MiB live, 163.1MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #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)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) (*.f64 t t)) #s(literal 1/2 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (fma.f64 (/.f64 t l) (/.f64 t l) #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (*.f64 (fma.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) (*.f64 t t)) t) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
Outputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
Calls

7 calls:

44.0ms
(/.f64 t l)
12.0ms
(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))))))
12.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
10.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
10.0ms
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.0%2(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
99.0%2(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
99.0%2(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
99.0%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
99.0%2(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
99.0%2(pow.f64 (/.f64 t l) #s(literal 2 binary64))
99.0%2(/.f64 t l)
Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes133.0ms (1.1%)

Memory
-39.4MiB live, 99.1MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #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)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) (*.f64 t t)) #s(literal 1/2 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (fma.f64 (/.f64 t l) (/.f64 t l) #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))))
Outputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))
Calls

7 calls:

40.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
29.0ms
(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)))))))
27.0ms
(/.f64 t l)
9.0ms
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
9.0ms
(/.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
AccuracySegmentsBranch
98.8%2(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
98.8%2(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
98.8%2(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
98.8%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
98.8%2(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
98.8%2(pow.f64 (/.f64 t l) #s(literal 2 binary64))
98.8%2(/.f64 t l)
Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes61.0ms (0.5%)

Memory
-7.6MiB live, 110.8MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #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)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))))))
Outputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
Calls

7 calls:

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)))))))
10.0ms
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
9.0ms
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
8.0ms
(/.f64 t l)
7.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
98.6%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)))))))
98.6%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))))))
98.6%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)))))
98.6%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
98.6%2(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
98.6%2(pow.f64 (/.f64 t l) #s(literal 2 binary64))
98.6%2(/.f64 t l)
Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes47.0ms (0.4%)

Memory
31.8MiB live, 107.5MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #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)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
Outputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))))))
Calls

7 calls:

7.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
7.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
6.0ms
(/.f64 t l)
6.0ms
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
6.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
Results
AccuracySegmentsBranch
94.7%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)))))))
94.7%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))))))
94.7%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)))))
94.7%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
94.7%2(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
94.7%2(pow.f64 (/.f64 t l) #s(literal 2 binary64))
96.4%3(/.f64 t l)
Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes32.0ms (0.3%)

Memory
-17.7MiB live, 18.7MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #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)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))))
Outputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
Calls

1 calls:

31.0ms
(/.f64 t l)
Results
AccuracySegmentsBranch
96.3%3(/.f64 t l)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes157.0ms (1.3%)

Memory
21.8MiB live, 219.5MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #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)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
Outputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
Calls

14 calls:

51.0ms
(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))))))
25.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
10.0ms
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
9.0ms
l
8.0ms
(/.f64 Om Omc)
Results
AccuracySegmentsBranch
85.4%1(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
85.4%1Omc
85.4%1(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
85.4%1Om
85.4%1(/.f64 Om Omc)
85.4%1t
85.4%1l
85.4%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)))))))
85.4%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))))))
85.4%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)))))
85.4%1(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
85.4%1(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
85.4%1(pow.f64 (/.f64 t l) #s(literal 2 binary64))
85.4%1(/.f64 t l)
Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes158.0ms (1.3%)

Memory
-44.8MiB live, 178.6MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l)))))))
Outputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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)) (+ 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))))))
Calls

14 calls:

53.0ms
(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)))))))
40.0ms
(/.f64 t l)
8.0ms
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
7.0ms
Omc
5.0ms
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
77.8%2l
77.6%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)))))))
77.6%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))))))
77.6%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)))))
77.6%2(/.f64 t l)
77.6%2t
75.1%1(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
75.1%1(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
77.6%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
77.6%2(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
77.6%2(pow.f64 (/.f64 t l) #s(literal 2 binary64))
75.1%1Om
75.1%1(/.f64 Om Omc)
75.1%1Omc
Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes11.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))))
Outputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))
Calls

2 calls:

5.0ms
l
5.0ms
t
Results
AccuracySegmentsBranch
77.6%2t
75.1%1l
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes36.0ms (0.3%)

Memory
-5.2MiB live, 34.0MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))))))
Outputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t))))))
Calls

5 calls:

19.0ms
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
4.0ms
t
4.0ms
(/.f64 t l)
4.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
4.0ms
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
77.6%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
77.6%2(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
77.6%2(pow.f64 (/.f64 t l) #s(literal 2 binary64))
77.6%2(/.f64 t l)
66.5%2t
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes87.0ms (0.7%)

Memory
2.4MiB live, 77.3MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
Outputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
Calls

14 calls:

21.0ms
(/.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)))))
4.0ms
l
4.0ms
Om
4.0ms
t
4.0ms
Omc
Results
AccuracySegmentsBranch
56.0%2t
56.6%2l
52.2%1Om
52.2%1(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
52.2%1(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
52.2%1(/.f64 Om Omc)
52.2%1Omc
60.2%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)))))))
60.2%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))))))
60.2%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)))))
60.2%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
60.2%2(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
60.2%2(pow.f64 (/.f64 t l) #s(literal 2 binary64))
60.2%2(/.f64 t l)
Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes4.0ms (0%)

Memory
9.7MiB live, 9.6MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc)))))
Outputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
Calls

1 calls:

3.0ms
(/.f64 t l)
Results
AccuracySegmentsBranch
60.2%2(/.f64 t l)
Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes17.0ms (0.1%)

Memory
3.9MiB live, 38.4MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))))
Outputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))
Calls

7 calls:

5.0ms
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
2.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
2.0ms
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
2.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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
AccuracySegmentsBranch
60.1%2(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
60.1%2(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
60.1%2(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
60.1%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
60.1%2(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
60.1%2(pow.f64 (/.f64 t l) #s(literal 2 binary64))
60.1%2(/.f64 t l)
Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes18.0ms (0.1%)

Memory
9.1MiB live, 45.4MiB 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)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64))))))
Calls

14 calls:

3.0ms
(/.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
(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
Omc
1.0ms
l
Results
AccuracySegmentsBranch
52.1%1(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
52.1%1(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
52.1%1(/.f64 Om Omc)
52.1%1Om
52.1%1Omc
52.1%1t
52.1%1l
52.1%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)))))))
52.1%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))))))
52.1%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)))))
52.1%1(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
52.1%1(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
52.1%1(pow.f64 (/.f64 t l) #s(literal 2 binary64))
52.1%1(/.f64 t l)
Compiler

Compiled 97 to 112 computations (-15.5% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.8417042542529536e+119
2.044719850794077e+121
Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.817472244023118e+35
7.154641830097706e+35
Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
52348882246888344.0
8.863149334181287e+20
Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
52348882246888344.0
8.863149334181287e+20
Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.895915695955132e+307
+inf
0.0ms
1.2678094733781447e+149
2.4287187031760532e+154
Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.895915695955132e+307
+inf
0.0ms
1.2678094733781447e+149
2.4287187031760532e+154
Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch23.0ms (0.2%)

Memory
1.3MiB live, 37.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
5.720464427518076e-163
1.0232196405380444e-161
Samples
11.0ms90×0valid
5.0ms22×1valid
Compiler

Compiled 547 to 415 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 3.0ms (23.5% of total)
ival-pow2: 3.0ms (23.5% of total)
ival-sub: 3.0ms (23.5% of total)
adjust: 1.0ms (7.8% of total)
ival-sqrt: 1.0ms (7.8% of total)
ival-add: 1.0ms (7.8% of total)
ival-mult: 1.0ms (7.8% of total)
ival-asin: 1.0ms (7.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Memory
-17.4MiB live, 35.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
5.227119474898753e-123
2.482397545649425e-121
Samples
16.0ms73×1valid
8.0ms39×0valid
Compiler

Compiled 631 to 429 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-pow2: 8.0ms (39.8% of total)
ival-div: 4.0ms (19.9% of total)
adjust: 2.0ms (9.9% of total)
ival-asin: 2.0ms (9.9% of total)
ival-sub: 1.0ms (5% of total)
ival-sqrt: 1.0ms (5% of total)
ival-add: 1.0ms (5% of total)
ival-mult: 1.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0878004052186741
1.2292710499470105
Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch20.0ms (0.2%)

Memory
-11.0MiB live, 26.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
8.121911185332229e+191
8.40763391844402e+193
Samples
13.0ms112×0valid
Compiler

Compiled 701 to 450 computations (35.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 4.0ms (40.1% of total)
ival-div: 2.0ms (20.1% of total)
ival-pow2: 2.0ms (20.1% of total)
ival-add: 1.0ms (10% of total)
ival-mult: 1.0ms (10% of total)
ival-asin: 1.0ms (10% of total)
ival-sqrt: 1.0ms (10% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
8.121911185332229e+191
8.40763391844402e+193
Compiler

Compiled 869 to 527 computations (39.4% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
8.121911185332229e+191
8.40763391844402e+193
Compiler

Compiled 729 to 478 computations (34.4% saved)

simplify76.0ms (0.6%)

Memory
-0.8MiB live, 37.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01661235
12301203
23401203
35201203
49791203
516691203
633921203
762661203
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 t l) #s(literal 999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 500000000000000021210318687008980992 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 100000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 100000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (if (<=.f64 (/.f64 t l) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))))))))
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (if (<=.f64 (/.f64 t l) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 l #s(literal 5065326622169181/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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)) (+ 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)))))))
(if (<=.f64 t #s(literal 5582121402590261/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/36028797018963968 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))))
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))))
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))))
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 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 500000000000000021210318687008980992 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 500000000000000021210318687008980992 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)) #s(literal -1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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 100000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))))
(if (<=.f64 (/.f64 t l) #s(literal 100000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #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 t l) #s(literal 100000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 100000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #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 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (if (<=.f64 (/.f64 t l) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))))))))
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(if (<=.f64 (/.f64 t l) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) (if (<=.f64 (/.f64 t l) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 l #s(literal 5065326622169181/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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)) (+ 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)))))))
(if (<=.f64 l #s(literal 5065326622169181/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l))) #s(literal -1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) #s(literal -1 binary64))))))
(if (<=.f64 t #s(literal 5582121402590261/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))
(if (<=.f64 t #s(literal 5582121402590261/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) #s(literal -1 binary64))))))
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/36028797018963968 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))))
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))))
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))))
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))))
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))))
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)) #s(literal -1 binary64)))))

soundness1.4s (11.7%)

Memory
23.9MiB live, 1 212.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01668
02668
110068
273468
3774268
0900164
093510012
130289240
093838742
076623
0120576
1436528
23348528
08342528
0100848
0149794
1563771
23877771
08172740
03903480
112072950
246562741
081952625
09079041
131168305
084547877
069549
0120538
1428515
23226515
09813499
09899001
132017888
085117413
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 2 208 to 951 computations (56.9% saved)

preprocess121.0ms (1%)

Memory
1.6MiB live, 191.1MiB allocated
Remove

(abs Om)

(abs Omc)

Compiler

Compiled 4 800 to 1 766 computations (63.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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