Toniolo and Linder, Equation (2)

Time bar (total: 10.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze425.0ms (4.3%)

Memory
25.1MiB live, 573.1MiB 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)

sample4.3s (42.8%)

Memory
-135.7MiB live, 3 980.8MiB allocated
Samples
1.2s3 804×1valid
1.1s7 271×0invalid
614.0ms4 452×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-pow2: 673.0ms (29.6% of total)
ival-div: 595.0ms (26.2% of total)
ival-asin: 238.0ms (10.5% of total)
ival-sqrt: 162.0ms (7.1% of total)
ival-sub: 149.0ms (6.6% of total)
ival-add: 149.0ms (6.6% of total)
ival-mult: 148.0ms (6.5% of total)
adjust: 122.0ms (5.4% of total)
exact: 17.0ms (0.7% of total)
ival-true: 13.0ms (0.6% of total)
ival-assert: 7.0ms (0.3% of total)
Bogosity

explain340.0ms (3.4%)

Memory
-34.0MiB live, 437.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
441(-1.3767963451918765e+251 1.2204389781195464e-71 -3.069220224386533e-161 1.0595026262591061e+259)1(-3.8341557713411945e+263 -1.2156991386474206e+104 1.704497794305511e-45 -1.7360805572141048e-26)(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
7116(-8.608540738181423e+46 -6.265980463601924e+232 2.2607659638126796e-262 4.559422650880097e+73)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)))))))
10-0-(/.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)))))))sensitivity1230
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-rescue440
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))underflow68
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))underflow78
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))underflow24
(pow.f64 (/.f64 t l) #s(literal 2 binary64))underflow78
(/.f64 t l)underflow28
(/.f64 Om Omc)underflow55
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))underflow141
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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/o10
(pow.f64 (/.f64 t l) #s(literal 2 binary64))overflow69
(/.f64 t l)overflow29
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))overflow69
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))overflow69
Confusion
Predicted +Predicted -
+510
-11788
Precision
0.30357142857142855
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5100
-117088
Precision?
0.30357142857142855
Recall?
1.0
Freqs
test
numberfreq
088
1168
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
73.0ms236×1valid
58.0ms276×0valid
Compiler

Compiled 320 to 68 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-div: 36.0ms (35.1% of total)
ival-pow2: 24.0ms (23.4% of total)
ival-asin: 18.0ms (17.6% of total)
adjust: 5.0ms (4.9% of total)
ival-sqrt: 5.0ms (4.9% of total)
ival-sub: 4.0ms (3.9% of total)
ival-mult: 4.0ms (3.9% of total)
ival-add: 4.0ms (3.9% of total)
ival-true: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)

preprocess162.0ms (1.6%)

Memory
-1.2MiB live, 194.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096278
1219270
2593270
32270270
47703270
01619
02619
14319
29519
333419
4113419
5422619
0834118
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 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
Symmetry

(abs Omc)

(abs Om)

(abs l)

(abs t)

Compiler

Compiled 19 to 16 computations (15.8% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.8%
(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)

simplify114.0ms (1.1%)

Memory
1.6MiB live, 196.5MiB 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
14399
29599
333499
4113499
5422699
0834195
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 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l

localize105.0ms (1.1%)

Memory
-4.8MiB live, 123.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.203125
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
accuracy0.248378759768442
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy0.40820052078664176
(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)))))))
accuracy9.81206870720782
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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
52.0ms138×0valid
35.0ms118×1valid
Compiler

Compiled 200 to 34 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 25.0ms (47.3% of total)
ival-div: 8.0ms (15.1% of total)
ival-pow2: 7.0ms (13.2% of total)
ival-asin: 4.0ms (7.6% of total)
adjust: 3.0ms (5.7% of total)
ival-sqrt: 3.0ms (5.7% of total)
ival-sub: 2.0ms (3.8% of total)
ival-add: 2.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory
22.8MiB live, 59.2MiB allocated
Counts
6 → 60
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
Outputs
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(/ (pow t 2) (pow l 2))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(/ (pow Om 2) (pow Omc 2))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
Calls

12 calls:

TimeVariablePointExpression
8.0ms
Om
@0
((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2))
4.0ms
t
@inf
((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2))
3.0ms
t
@0
((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2))
3.0ms
l
@0
((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2))
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) (pow (/ t l) 2))

simplify72.0ms (0.7%)

Memory
8.4MiB live, 88.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03903487
013673339
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
60 → 60
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(/ (pow t 2) (pow l 2))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(/ (pow Om 2) (pow Omc 2))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t t) (*.f64 l l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (-.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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 Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 8 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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 l l)))) (*.f64 t t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) (-.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(-.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l))) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 Om Om) (*.f64 Omc 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)))
(-.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l)))) (*.f64 t t) #s(literal 1 binary64)) (/.f64 (*.f64 Om Om) (*.f64 Omc 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)))
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 6 binary64)))) #s(literal -8 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64))))) (*.f64 t t) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l)))) (*.f64 t t) #s(literal 1 binary64)) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
(/ (pow t 2) (pow l 2))
(/.f64 (*.f64 t t) (*.f64 l l))
(* 2 (/ (pow t 2) (pow l 2)))
(/.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 l l))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 2 binary64) (*.f64 l l))) (*.f64 t t))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t t)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (*.f64 (*.f64 l (pow.f64 t #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t t)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) 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 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (*.f64 (*.f64 l (pow.f64 t #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 l l) (/.f64 (fma.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 l #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (*.f64 (*.f64 l (pow.f64 t #s(literal 6 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t t)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64))
(/ (+ (* -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 (pow.f64 l #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (*.f64 t t))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
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(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
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(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
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(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
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(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
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(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
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(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
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(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
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(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
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(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
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(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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)))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 Omc #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Om Om) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(fma.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/ (pow Om 2) (pow Omc 2))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) 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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))) 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))))) Om)
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(neg.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 Om Om))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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))))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) 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)))))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))) Om))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))))) Om))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 Omc Omc) Om) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Omc Omc) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 Omc Omc) (*.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Omc Omc) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (/.f64 (*.f64 Om Om) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 Omc Omc) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 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))))))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (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 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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)))))))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (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 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))

rewrite142.0ms (1.4%)

Memory
-11.5MiB live, 180.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01673
02673
110769
281953
0909153
Stop Event
iter limit
node limit
iter limit
Counts
6 → 627
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))) (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 Omc) Omc) (*.f64 (neg.f64 Om) Om)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 Omc) (/.f64 Omc Om)) (neg.f64 Om)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 Omc Omc) (*.f64 Om Om)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 Omc (/.f64 Omc Om)) Om))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Omc Om) (neg.f64 Omc)) (neg.f64 Om)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Omc Om) Omc) Om))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(+.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
(*.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 (/.f64 t l) l))
(*.f64 (/.f64 (/.f64 t l) #s(literal -1 binary64)) (/.f64 (neg.f64 t) l))
(*.f64 (/.f64 (/.f64 t l) l) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -1 binary64))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 t l)) l) (/.f64 (sqrt.f64 (/.f64 t l)) (pow.f64 t #s(literal -1 binary64))))
(*.f64 (fabs.f64 (*.f64 (/.f64 t l) t)) (fabs.f64 (pow.f64 l #s(literal -1 binary64))))
(*.f64 (fabs.f64 t) (fabs.f64 (pow.f64 (*.f64 l (/.f64 l t)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 (/.f64 t l) t) #s(literal 1 binary64)) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 t t) #s(literal 1 binary64)) (pow.f64 (pow.f64 l #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 t) l) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 t) l) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 t) (/.f64 t l)) (/.f64 #s(literal -1 binary64) l))
(*.f64 (*.f64 t (/.f64 t l)) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))
(*.f64 (*.f64 (/.f64 t l) t) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 l) l)))
(*.f64 (*.f64 t t) (/.f64 #s(literal 1 binary64) (*.f64 l l)))
(*.f64 (*.f64 t t) (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 2 binary64)))
(*.f64 (*.f64 t t) (pow.f64 l #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 t) l) (/.f64 (/.f64 #s(literal -1 binary64) l) (pow.f64 t #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 t) l) (/.f64 (neg.f64 t) l))
(*.f64 (pow.f64 l #s(literal -2 binary64)) (/.f64 t (pow.f64 t #s(literal -1 binary64))))
(*.f64 (pow.f64 l #s(literal -2 binary64)) (*.f64 t t))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (/.f64 (/.f64 t l) (pow.f64 t #s(literal -1 binary64))))
(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 l) (/.f64 l t))))
(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l t) (neg.f64 l))))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 t l) (/.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64))))
(*.f64 (/.f64 t l) (/.f64 t l))
(*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 l (/.f64 l t))))
(*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l t) l)))
(*.f64 t (pow.f64 (pow.f64 (*.f64 l (/.f64 l t)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 t (pow.f64 (*.f64 l (/.f64 l t)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 t l)))
(pow.f64 (pow.f64 (/.f64 l t) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 t) l) #s(literal 2 binary64))
(pow.f64 (/.f64 l t) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) (/.f64 t l))) l)
(/.f64 (neg.f64 (*.f64 (/.f64 t l) (neg.f64 t))) l)
(/.f64 (fabs.f64 (*.f64 (neg.f64 t) (/.f64 t l))) (fabs.f64 (neg.f64 l)))
(/.f64 (fabs.f64 (*.f64 t (/.f64 t l))) (fabs.f64 l))
(/.f64 (fabs.f64 (*.f64 (/.f64 t l) (neg.f64 t))) (fabs.f64 (neg.f64 l)))
(/.f64 (fabs.f64 (*.f64 (neg.f64 t) t)) (fabs.f64 (*.f64 (neg.f64 l) l)))
(/.f64 (fabs.f64 (*.f64 (/.f64 t l) t)) (fabs.f64 l))
(/.f64 (fabs.f64 (neg.f64 t)) (fabs.f64 (*.f64 (neg.f64 l) (/.f64 l t))))
(/.f64 (fabs.f64 (neg.f64 t)) (fabs.f64 (*.f64 (/.f64 l t) (neg.f64 l))))
(/.f64 (fabs.f64 t) (fabs.f64 (*.f64 l (/.f64 l t))))
(/.f64 (fabs.f64 t) (fabs.f64 (*.f64 (/.f64 l t) l)))
(/.f64 (*.f64 (neg.f64 t) (/.f64 t l)) (neg.f64 l))
(/.f64 (*.f64 t (/.f64 t l)) l)
(/.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (neg.f64 l))
(/.f64 (*.f64 (/.f64 t l) t) l)
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 l) l))
(/.f64 (*.f64 t t) (*.f64 l l))
(/.f64 (/.f64 (neg.f64 t) l) (/.f64 (neg.f64 l) t))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 l t) #s(literal 2 binary64))))
(/.f64 (neg.f64 t) (*.f64 (neg.f64 l) (/.f64 l t)))
(/.f64 (neg.f64 t) (*.f64 (/.f64 l t) (neg.f64 l)))
(/.f64 (/.f64 t l) (fabs.f64 (/.f64 l t)))
(/.f64 (/.f64 t l) (/.f64 l t))
(/.f64 t (neg.f64 (*.f64 (neg.f64 l) (/.f64 l t))))
(/.f64 t (neg.f64 (*.f64 (/.f64 l t) (neg.f64 l))))
(/.f64 t (*.f64 l (/.f64 l t)))
(/.f64 t (*.f64 (/.f64 l t) l))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 l) (*.f64 (neg.f64 t) (/.f64 t l))))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t (/.f64 t l))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 l) (*.f64 (/.f64 t l) (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (/.f64 t l) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 l) l) (*.f64 (neg.f64 t) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 l) (/.f64 l t)) (neg.f64 t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (/.f64 l t)) t))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l t) (neg.f64 l)) (neg.f64 t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l t) l) t))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 l t) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 l t) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 t l)) (log.f64 (/.f64 t l))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(+.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))

eval89.0ms (0.9%)

Memory
0.3MiB live, 156.8MiB allocated
Compiler

Compiled 22 490 to 3 538 computations (84.3% saved)

prune19.0ms (0.2%)

Memory
11.2MiB live, 50.7MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New67512687
Fresh000
Picked101
Done000
Total67612688
Accuracy
98.6%
Counts
688 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.8%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
83.8%
(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) (/.f64 (/.f64 t l) (/.f64 l t)))))))
82.0%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 t l) t) l))))))
80.7%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))))
81.9%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l)))))))
50.6%
(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)))))
75.2%
(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)))))))
64.8%
(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 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))
44.9%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
21.7%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64)))))
39.6%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 l l) (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) l)))
46.7%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))
Compiler

Compiled 692 to 520 computations (24.9% saved)

simplify121.0ms (1.2%)

Memory
14.1MiB live, 135.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
cost-diff0
(/.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)))
cost-diff0
(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))))
cost-diff0
(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)))))
cost-diff0
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
cost-diff0
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
cost-diff0
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))
cost-diff2
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
cost-diff0
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
cost-diff0
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
cost-diff0
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
cost-diff2
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
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) (/.f64 (/.f64 t l) (/.f64 l t))))))
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) (/.f64 (/.f64 t l) (/.f64 l t)))))))
cost-diff1
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))
cost-diff2
(/.f64 (/.f64 t l) (/.f64 l t))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050549
082531
1152511
2381511
31375511
46237511
08424494
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) (/.f64 (/.f64 t l) (/.f64 l t)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))
(/.f64 (/.f64 t l) (/.f64 l t))
(/.f64 t l)
t
l
(/.f64 l t)
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
#s(literal 1 binary64)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(*.f64 Om Om)
Om
(*.f64 Omc Omc)
Omc
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
l
t
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
#s(literal 1 binary64)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(*.f64 Om Om)
Om
(*.f64 Omc Omc)
Omc
(asin.f64 (sqrt.f64 (/.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)))))
(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))))
(/.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)))
(-.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)
#s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 #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))
Outputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 t l) (/.f64 l t))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 t l)
t
l
(/.f64 l t)
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(*.f64 Om Om)
Om
(*.f64 Omc Omc)
Omc
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
l
t
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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 Om) (*.f64 Omc Omc)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(*.f64 Om Om)
Om
(*.f64 Omc Omc)
Omc
(asin.f64 (sqrt.f64 (/.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)))))
(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))))
(/.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)))
(-.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)
#s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (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))

localize170.0ms (1.7%)

Memory
-12.7MiB live, 262.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy0.248378759768442
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy0.40820052078664176
(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)))))
accuracy9.81206870720782
(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))))
accuracy0.248378759768442
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy0.40820052078664176
(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)))))
accuracy9.81206870720782
(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))))
accuracy31.490610331302694
#s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))
accuracy0.38671875
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
accuracy0.40820052078664176
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))
accuracy13.001601556197365
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
accuracy29.97614873409534
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
accuracy0.40820052078664176
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
accuracy9.81206870720782
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
accuracy13.001601556197365
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
accuracy31.498204543599243
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
accuracy0.15234375
(/.f64 (/.f64 t l) (/.f64 l t))
accuracy0.248378759768442
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy0.40820052078664176
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
accuracy9.81206870720782
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))))
Samples
71.0ms118×1valid
61.0ms138×0valid
Compiler

Compiled 1 030 to 93 computations (91% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-div: 26.0ms (30.5% of total)
ival-mult: 16.0ms (18.8% of total)
ival-asin: 11.0ms (12.9% of total)
ival-sqrt: 11.0ms (12.9% of total)
ival-pow2: 7.0ms (8.2% of total)
adjust: 6.0ms (7% of total)
ival-add: 5.0ms (5.9% of total)
ival-sub: 3.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series43.0ms (0.4%)

Memory
18.3MiB live, 56.1MiB allocated
Counts
22 → 82
Calls
Call 1
Inputs
(/.f64 (/.f64 t l) (/.f64 l t))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (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)))))
(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))))
(/.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)))
(-.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 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)))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
#s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))
Outputs
(/ (pow t 2) (pow l 2))
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* l (sqrt 1/2))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ (pow Om 2) (pow Omc 2))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(/ (* l (sqrt 1/2)) t)
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t))
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (/ (pow Om 2) (pow Omc 2)))
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (- (pow Omc 2) (pow Om 2)) (pow Omc 2))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
Calls

12 calls:

TimeVariablePointExpression
6.0ms
t
@inf
((/ (/ t l) (/ l t)) (+ 1 (* 2 (/ (/ t l) (/ l t)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t)))))) (/ (* 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))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow (/ Om Omc) 2) (* (sqrt 1/2) l) (+ 1 (* 2 (pow (/ t l) 2))))
5.0ms
l
@0
((/ (/ t l) (/ l t)) (+ 1 (* 2 (/ (/ t l) (/ l t)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t)))))) (/ (* 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))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow (/ Om Omc) 2) (* (sqrt 1/2) l) (+ 1 (* 2 (pow (/ t l) 2))))
3.0ms
Omc
@inf
((/ (/ t l) (/ l t)) (+ 1 (* 2 (/ (/ t l) (/ l t)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t)))))) (/ (* 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))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow (/ Om Omc) 2) (* (sqrt 1/2) l) (+ 1 (* 2 (pow (/ t l) 2))))
3.0ms
t
@0
((/ (/ t l) (/ l t)) (+ 1 (* 2 (/ (/ t l) (/ l t)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t)))))) (/ (* 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))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow (/ Om Omc) 2) (* (sqrt 1/2) l) (+ 1 (* 2 (pow (/ t l) 2))))
3.0ms
t
@-inf
((/ (/ t l) (/ l t)) (+ 1 (* 2 (/ (/ t l) (/ l t)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ (/ t l) (/ l t)))))) (/ (* 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))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow (/ Om Omc) 2) (* (sqrt 1/2) l) (+ 1 (* 2 (pow (/ t l) 2))))

simplify65.0ms (0.7%)

Memory
-21.2MiB live, 59.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04904264
017864087
Stop Event
iter limit
iter limit
node limit
Counts
82 → 82
Calls
Call 1
Inputs
(/ (pow t 2) (pow l 2))
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* l (sqrt 1/2))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(/ (pow Om 2) (pow Omc 2))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(/ (* l (sqrt 1/2)) t)
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t))
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (/ (pow Om 2) (pow Omc 2)))
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (- (pow Omc 2) (pow Om 2)) (pow Omc 2))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
Outputs
(/ (pow t 2) (pow l 2))
(/.f64 (*.f64 t t) (*.f64 l l))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t t) (*.f64 l l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (-.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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 Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 8 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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 l l)))) (*.f64 t t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) (-.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(-.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l))) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 Om Om) (*.f64 Omc 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)))
(-.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l)))) (*.f64 t t) #s(literal 1 binary64)) (/.f64 (*.f64 Om Om) (*.f64 Omc 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)))
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 6 binary64)))) #s(literal -8 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64))))) (*.f64 t t) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l)))) (*.f64 t t) #s(literal 1 binary64)) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(* 2 (/ (pow t 2) (pow l 2)))
(/.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 l l))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 2 binary64) (*.f64 l l))) (*.f64 t t))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (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 -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t t)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (*.f64 (*.f64 l (pow.f64 t #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t t)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) 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 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (*.f64 (*.f64 l (pow.f64 t #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 l l) (/.f64 (fma.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 l #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (*.f64 (*.f64 l (pow.f64 t #s(literal 6 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t t)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64))
(/ (+ (* -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 (pow.f64 l #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (*.f64 t t))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/.f64 (fma.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 t #s(literal 4 binary64)))) #s(literal 1/8 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 l #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t)))))) (*.f64 t t))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(/.f64 (fma.f64 (*.f64 (pow.f64 l #s(literal 8 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 t #s(literal 6 binary64)))) #s(literal -1/16 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 l #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) (*.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 t #s(literal 4 binary64)))) #s(literal -1/8 binary64))))) (*.f64 t t))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(* -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))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t t)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) 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))
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(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
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(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
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(* l (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
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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 (pow.f64 t #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l))) #s(literal 2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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 Om) (*.f64 Omc 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 Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l))) #s(literal 2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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)))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 Omc #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Om Om) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(/ (pow Om 2) (pow Omc 2))
(/.f64 (*.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) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(fma.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/ (* l (sqrt 1/2)) t)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t))
(fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t))
(fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 Omc Omc) t))) (*.f64 Om Om) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (pow.f64 Omc #s(literal 4 binary64)) t))) (*.f64 Om Om) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 Omc Omc) t))) (*.f64 Om Om) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) 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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))) 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))))) Om)
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(neg.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 Om Om))
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))
(/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Omc t))
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 Omc t))) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) t))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 Omc t)))) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) t))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) t))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 Omc t))))) Om)
(* -1 (/ (pow Om 2) (pow Omc 2)))
(neg.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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))))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) 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)))))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))) Om))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))))) Om))
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)))
(neg.f64 (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Omc t)))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 Omc t))) Om))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) t))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 Omc t)))) Om))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) t))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) t))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 Omc t))))) Om))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 Omc Omc) Om) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Omc Omc) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 Omc Omc) (*.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Omc Omc) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (/.f64 (*.f64 Om Om) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 Omc Omc) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 Omc Omc))
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) t) Om)) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 Omc Omc) (pow.f64 Om #s(literal 3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) t))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) t) Om))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 Omc Omc) (pow.f64 Om #s(literal 5 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) t))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 (pow.f64 Om #s(literal 3 binary64)) t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 Omc Omc) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) t) Om))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) t)) Omc)
(/ (- (pow Omc 2) (pow Om 2)) (pow Omc 2))
(/.f64 (-.f64 (*.f64 Omc Omc) (*.f64 Om Om)) (*.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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (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 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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)))))))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (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 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
(fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))

rewrite229.0ms (2.3%)

Memory
14.3MiB live, 247.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050394
082368
1299343
21887343
08281327
Stop Event
iter limit
node limit
iter limit
Counts
22 → 965
Calls
Call 1
Inputs
(/.f64 (/.f64 t l) (/.f64 l t))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(asin.f64 (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)))))
(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))))
(/.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)))
(-.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 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)))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
#s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))
Outputs
(*.f64 (fabs.f64 (/.f64 (/.f64 (neg.f64 t) l) l)) (fabs.f64 (neg.f64 t)))
(*.f64 (fabs.f64 (*.f64 (/.f64 t l) t)) (fabs.f64 (pow.f64 l #s(literal -1 binary64))))
(*.f64 (fabs.f64 (/.f64 (/.f64 t l) l)) (fabs.f64 t))
(*.f64 (fabs.f64 t) (fabs.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) (/.f64 l t))))
(*.f64 (fabs.f64 t) (fabs.f64 (/.f64 (/.f64 t l) l)))
(*.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 l) t) t) #s(literal -1 binary64)) (pow.f64 (neg.f64 l) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 l t) t) #s(literal -1 binary64)) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 t) l) l) #s(literal 1 binary64)) (pow.f64 (neg.f64 t) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 t l) t) #s(literal 1 binary64)) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 t t) #s(literal 1 binary64)) (pow.f64 (pow.f64 l #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 t) l) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 t) l) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 t l) l) #s(literal 1 binary64)) t)
(*.f64 (pow.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 t t))
(*.f64 (/.f64 (/.f64 (neg.f64 t) l) l) (neg.f64 t))
(*.f64 (*.f64 (/.f64 t l) t) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal -2 binary64)) (*.f64 t t))
(*.f64 (*.f64 t t) (pow.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 t t) (pow.f64 l #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 t l) l) t)
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 t l)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 t) l) (/.f64 (neg.f64 t) l))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)))
(*.f64 (/.f64 t l) (/.f64 t l))
(*.f64 t (pow.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) (/.f64 l t)) #s(literal 1 binary64)))
(*.f64 t (pow.f64 (/.f64 (/.f64 t l) l) #s(literal 1 binary64)))
(*.f64 t (/.f64 (pow.f64 l #s(literal -1 binary64)) (/.f64 l t)))
(*.f64 t (/.f64 (/.f64 t l) l))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 t l)))
(pow.f64 (/.f64 (pow.f64 (/.f64 l t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 l t) l) t) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 l t) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 t) l) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 l t) #s(literal -2 binary64))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) (/.f64 t l))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (/.f64 t l) (neg.f64 t))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (/.f64 t l) #s(literal 1 binary64))) (/.f64 (neg.f64 l) t))
(/.f64 (neg.f64 (*.f64 (/.f64 t l) t)) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 t (/.f64 t l))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 l) (/.f64 l t))))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) t)) (neg.f64 (*.f64 (neg.f64 l) l)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t))) (neg.f64 (*.f64 (/.f64 l t) (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) t)) (neg.f64 (*.f64 (/.f64 l t) l)))
(/.f64 (neg.f64 (*.f64 t (neg.f64 t))) (neg.f64 (*.f64 l (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 t t)) (neg.f64 (*.f64 l l)))
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 l t) l)))
(/.f64 (fabs.f64 (*.f64 (neg.f64 t) (/.f64 t l))) (fabs.f64 (neg.f64 l)))
(/.f64 (fabs.f64 (*.f64 (/.f64 t l) (neg.f64 t))) (fabs.f64 (neg.f64 l)))
(/.f64 (fabs.f64 (*.f64 t (/.f64 t l))) (fabs.f64 l))
(/.f64 (fabs.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64))) (fabs.f64 (*.f64 (neg.f64 l) (/.f64 l t))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 t) t)) (fabs.f64 (*.f64 (neg.f64 l) l)))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t))) (fabs.f64 (*.f64 (/.f64 l t) (neg.f64 l))))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) t)) (fabs.f64 (*.f64 (/.f64 l t) l)))
(/.f64 (fabs.f64 (*.f64 t (neg.f64 t))) (fabs.f64 (*.f64 l (neg.f64 l))))
(/.f64 (fabs.f64 (*.f64 t #s(literal 1 binary64))) (fabs.f64 (*.f64 (/.f64 l t) l)))
(/.f64 (fabs.f64 (*.f64 (/.f64 t l) #s(literal 1 binary64))) (fabs.f64 (/.f64 l t)))
(/.f64 (fabs.f64 (*.f64 (/.f64 t l) t)) (fabs.f64 l))
(/.f64 (fabs.f64 (/.f64 (/.f64 t l) l)) (fabs.f64 (pow.f64 t #s(literal -1 binary64))))
(/.f64 (fabs.f64 (neg.f64 t)) (fabs.f64 (neg.f64 (*.f64 (/.f64 l t) l))))
(/.f64 (fabs.f64 (neg.f64 t)) (fabs.f64 (*.f64 (neg.f64 l) (/.f64 l t))))
(/.f64 (fabs.f64 t) (fabs.f64 (*.f64 (/.f64 l t) l)))
(/.f64 (*.f64 (neg.f64 t) (/.f64 t l)) (neg.f64 l))
(/.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (neg.f64 l))
(/.f64 (*.f64 (/.f64 t l) #s(literal 1 binary64)) (/.f64 l t))
(/.f64 (*.f64 (/.f64 t l) t) l)
(/.f64 (*.f64 t (/.f64 t l)) l)
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(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
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(*.f64 (fabs.f64 (pow.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
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(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 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc)) (neg.f64 (neg.f64 Omc)))
(/.f64 (neg.f64 (*.f64 (neg.f64 Om) (/.f64 Om Omc))) (neg.f64 (neg.f64 Omc)))
(/.f64 (neg.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om))) (neg.f64 (neg.f64 Omc)))
(/.f64 (neg.f64 (*.f64 (/.f64 Om Omc) #s(literal 1 binary64))) (neg.f64 (/.f64 Omc Om)))
(/.f64 (neg.f64 (*.f64 (/.f64 Om Omc) Om)) (neg.f64 Omc))
(/.f64 (neg.f64 (*.f64 (neg.f64 Om) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 Omc) (/.f64 Omc Om))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 Om))) (neg.f64 (*.f64 (/.f64 Omc Om) (neg.f64 Omc))))
(/.f64 (neg.f64 (*.f64 Om #s(literal 1 binary64))) (neg.f64 (*.f64 Omc (/.f64 Omc Om))))
(/.f64 (neg.f64 (neg.f64 (*.f64 Om (/.f64 Om Omc)))) (neg.f64 (neg.f64 Omc)))
(/.f64 (neg.f64 (*.f64 (*.f64 Om Om) #s(literal 1 binary64))) (*.f64 (neg.f64 Omc) Omc))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 Om (/.f64 Om Omc)))) (neg.f64 Omc))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) Om))) (*.f64 Omc Omc))
(/.f64 (fabs.f64 (*.f64 (neg.f64 Om) (/.f64 Om Omc))) Omc)
(/.f64 (fabs.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om))) Omc)
(/.f64 (fabs.f64 (*.f64 (/.f64 Om Omc) #s(literal 1 binary64))) (/.f64 Omc Om))
(/.f64 (fabs.f64 (neg.f64 (*.f64 Om (/.f64 Om Omc)))) Omc)
(/.f64 (fabs.f64 (*.f64 (neg.f64 Om) #s(literal 1 binary64))) (fabs.f64 (*.f64 (neg.f64 Omc) (/.f64 Omc Om))))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 Om))) (fabs.f64 (*.f64 (/.f64 Omc Om) (neg.f64 Omc))))
(/.f64 (fabs.f64 (*.f64 Om #s(literal 1 binary64))) (fabs.f64 (*.f64 Omc (/.f64 Omc Om))))
(/.f64 (fabs.f64 (*.f64 (*.f64 Om Om) #s(literal 1 binary64))) (*.f64 Omc Omc))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 Om (/.f64 Om Omc)))) Omc)
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) Om))) (*.f64 Omc Omc))
(/.f64 (fabs.f64 (*.f64 (/.f64 Om Omc) Om)) Omc)
(/.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc) (neg.f64 Omc))
(/.f64 (*.f64 (neg.f64 Om) (/.f64 Om Omc)) (neg.f64 Omc))
(/.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om)) (neg.f64 Omc))
(/.f64 (*.f64 (/.f64 Om Omc) #s(literal 1 binary64)) (/.f64 Omc Om))
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)
(/.f64 (neg.f64 (*.f64 Om (/.f64 Om Omc))) (neg.f64 Omc))
(/.f64 (*.f64 (neg.f64 Om) #s(literal 1 binary64)) (*.f64 (neg.f64 Omc) (/.f64 Omc Om)))
(/.f64 (*.f64 Om #s(literal 1 binary64)) (*.f64 Omc (/.f64 Omc Om)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 Om)) (*.f64 (/.f64 Omc Om) (neg.f64 Omc)))
(/.f64 (*.f64 (*.f64 Om Om) #s(literal 1 binary64)) (*.f64 Omc Omc))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 Om (/.f64 Om Omc))) Omc)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) Om)) (*.f64 (neg.f64 Omc) Omc))
(/.f64 (neg.f64 (/.f64 Om Omc)) (neg.f64 (/.f64 Omc Om)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 Omc (*.f64 Om (/.f64 Om Omc)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64))))
(/.f64 (*.f64 Om (/.f64 Om Omc)) Omc)
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 (neg.f64 Omc) Omc))
(/.f64 (neg.f64 Om) (neg.f64 (*.f64 (/.f64 Omc Om) Omc)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(/.f64 (/.f64 Om Omc) (/.f64 Omc Om))
(/.f64 Om (fabs.f64 (*.f64 (/.f64 Omc Om) Omc)))
(/.f64 Om (*.f64 (/.f64 Omc Om) Omc))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 Omc (*.f64 Om (/.f64 Om Omc)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 Omc (*.f64 Om (/.f64 Om Omc))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 Omc) Omc)) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 Om) #s(literal 2 binary64)) (*.f64 (log.f64 Omc) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(*.f64 l (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))

eval194.0ms (1.9%)

Memory
22.5MiB live, 258.0MiB allocated
Compiler

Compiled 36 628 to 4 689 computations (87.2% saved)

prune35.0ms (0.3%)

Memory
-25.3MiB live, 85.2MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New93913952
Fresh257
Picked325
Done000
Total94420964
Accuracy
99.3%
Counts
964 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.9%
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))))))))))
50.6%
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))))))
83.8%
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
80.4%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64)))))
82.0%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 t l) t) l))))))
80.7%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))))
81.9%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l)))))))
75.2%
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
75.2%
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
64.8%
(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 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))
50.6%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
44.9%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
47.3%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc)))))))
21.7%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64)))))
49.7%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)))))
50.6%
(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 (/.f64 Om Omc) Om) Omc))))))
46.7%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))
50.6%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) t))))
50.7%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))))
49.8%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
Compiler

Compiled 1 594 to 918 computations (42.4% saved)

simplify92.0ms (0.9%)

Memory
23.9MiB live, 144.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067630
0107592
1217592
2611592
33062592
08520577
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64))
(/.f64 Om Omc)
Om
Omc
(neg.f64 (/.f64 Om Omc))
#s(literal 1 binary64)
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 t l)
t
l
(*.f64 (/.f64 t l) #s(literal 2 binary64))
#s(literal 2 binary64)
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
l
t
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64))
(*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t)))
(*.f64 l l)
l
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
#s(literal 1 binary64)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(*.f64 Om Om)
Om
(*.f64 Omc Omc)
Omc
(*.f64 t t)
t
#s(literal 1/2 binary64)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64))
(/.f64 (/.f64 t l) l)
(/.f64 t l)
t
l
(+.f64 t t)
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t)))
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))
(*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64)))
(sin.f64 (acos.f64 (/.f64 Om Omc)))
(acos.f64 (/.f64 Om Omc))
(/.f64 Om Omc)
Om
Omc
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 l t)
l
t
Outputs
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.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 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 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)))
(fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(/.f64 Om Omc)
Om
Omc
(neg.f64 (/.f64 Om Omc))
(/.f64 (neg.f64 Om) Omc)
#s(literal 1 binary64)
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 t l)
t
l
(*.f64 (/.f64 t l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 t l))
#s(literal 2 binary64)
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
l
t
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 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 (/.f64 l t))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) t)))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l (/.f64 l t))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) t))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l (/.f64 l t))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) t)))
(*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l (/.f64 l t))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) t))
(*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t)))
(*.f64 (*.f64 l (/.f64 l t)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) t))
(*.f64 l l)
l
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) t) t)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(*.f64 Om Om)
Om
(*.f64 Omc Omc)
Omc
(*.f64 t t)
t
#s(literal 1/2 binary64)
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(fma.f64 (/.f64 (/.f64 t l) l) (+.f64 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 t l) l)
(/.f64 t l)
t
l
(+.f64 t t)
(*.f64 #s(literal 2 binary64) t)
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t)))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))
(*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64)))
(sin.f64 (acos.f64 (/.f64 Om Omc)))
(acos.f64 (/.f64 Om Omc))
(/.f64 Om Omc)
Om
Omc
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 l t)
l
t

localize241.0ms (2.4%)

Memory
-19.6MiB live, 424.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy0.3092575195368841
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))
accuracy0.40820052078664176
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))))
accuracy29.97614873409534
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t)))
accuracy0.248378759768442
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy0.40820052078664176
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64)))))
accuracy2.1718123008869155
(fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64))
accuracy9.81206870720782
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64))))
accuracy9.81206870720782
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64))))
accuracy13.001601556197365
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
accuracy13.9604176747699
(*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t)))
accuracy30.237779540512285
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64)))
accuracy0.38671875
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
accuracy0.40820052078664176
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
accuracy0.9030754447212384
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
accuracy29.97614873409534
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
accuracy0.10669039521109755
(/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
accuracy0.125
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy0.40820052078664176
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
accuracy9.81206870720782
(sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
Samples
110.0ms118×1valid
79.0ms138×0valid
Compiler

Compiled 1 131 to 124 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-mult: 46.0ms (30.1% of total)
ival-sin: 25.0ms (16.4% of total)
ival-div: 24.0ms (15.7% of total)
ival-asin: 13.0ms (8.5% of total)
ival-sqrt: 12.0ms (7.9% of total)
adjust: 8.0ms (5.2% of total)
ival-pow2: 8.0ms (5.2% of total)
ival-add: 8.0ms (5.2% of total)
ival-sub: 3.0ms (2% of total)
ival-acos: 3.0ms (2% of total)
ival-neg: 2.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series72.0ms (0.7%)

Memory
-1.7MiB live, 117.1MiB allocated
Counts
24 → 119
Calls
Call 1
Inputs
(fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64))
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64)))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t)))
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))
(*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t)))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
Outputs
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(asin (sqrt (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4)))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 6)))) (+ (* 8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (/ 1 (pow l 6)))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (* l (sqrt 1/2)) t)
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(/ (* l (* (sin (acos (/ Om Omc))) (sqrt 1/2))) t)
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))
(+ 1 (+ (* -2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1 (/ (pow Om 2) (pow Omc 2)))))
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* 4 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (* 2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))))))
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))) (* 2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))))))
(/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 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 (* -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 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 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 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -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 (* -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)
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* 1/2 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 6))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))))) (pow t 2))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))
(* -1 (/ (+ (* -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 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 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 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -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 (* -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 (* (/ (* 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 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (+ 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)))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -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 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))))))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 6))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 8))) (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))))))
(* l (sqrt 1/2))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (pow l 6)) (sqrt (/ 1 (+ 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)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(- (+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* 4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))))
(- (+ 1 (+ (* -8 (/ (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t))
(/ (pow Om 2) (pow Omc 2))
(/ 1 (+ 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))))))
(* (sin (acos (/ Om Omc))) (sqrt 1/2))
(/ (pow l 2) (pow t 2))
(+ (* -1 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 2) (pow t 2)))) (/ (pow l 2) (pow t 2)))
(* -1 (/ (pow Om 2) (pow Omc 2)))
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2))))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 2) (pow t 2))))
(* (pow Om 2) (+ (* -1 (/ (pow l 2) (* (pow Omc 2) (pow t 2)))) (/ (pow l 2) (* (pow Om 2) (pow t 2)))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))))
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* -1 (/ (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 l 2)) (pow t 2))) (/ (* (pow Omc 2) (pow l 2)) (pow t 2))) (pow Omc 2))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
Calls

12 calls:

TimeVariablePointExpression
11.0ms
Om
@inf
((+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/ (* (sqrt 1/2) l) t) (/ (* Om Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ (* (/ (/ t l) l) (+ t t)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (/ t l) l) (+ t t)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (/ t l) l) (+ t t)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (/ t 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))))) (* (* (sin (acos (/ Om Omc))) (sqrt 1/2)) (/ l t)) (* (sin (acos (/ Om Omc))) (sqrt 1/2)) (/ (+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1)) (* (sqrt 1/2) l) (* (* l l) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (* t t))) (pow (/ Om Omc) 2))
7.0ms
t
@-inf
((+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/ (* (sqrt 1/2) l) t) (/ (* Om Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ (* (/ (/ t l) l) (+ t t)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (/ t l) l) (+ t t)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (/ t l) l) (+ t t)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (/ t 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))))) (* (* (sin (acos (/ Om Omc))) (sqrt 1/2)) (/ l t)) (* (sin (acos (/ Om Omc))) (sqrt 1/2)) (/ (+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1)) (* (sqrt 1/2) l) (* (* l l) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (* t t))) (pow (/ Om Omc) 2))
6.0ms
Omc
@-inf
((+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/ (* (sqrt 1/2) l) t) (/ (* Om Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ (* (/ (/ t l) l) (+ t t)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (/ t l) l) (+ t t)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (/ t l) l) (+ t t)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (/ t 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))))) (* (* (sin (acos (/ Om Omc))) (sqrt 1/2)) (/ l t)) (* (sin (acos (/ Om Omc))) (sqrt 1/2)) (/ (+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1)) (* (sqrt 1/2) l) (* (* l l) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (* t t))) (pow (/ Om Omc) 2))
6.0ms
t
@inf
((+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/ (* (sqrt 1/2) l) t) (/ (* Om Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ (* (/ (/ t l) l) (+ t t)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (/ t l) l) (+ t t)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (/ t l) l) (+ t t)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (/ t 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))))) (* (* (sin (acos (/ Om Omc))) (sqrt 1/2)) (/ l t)) (* (sin (acos (/ Om Omc))) (sqrt 1/2)) (/ (+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1)) (* (sqrt 1/2) l) (* (* l l) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (* t t))) (pow (/ Om Omc) 2))
6.0ms
t
@0
((+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/ (* (sqrt 1/2) l) t) (/ (* Om Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ (* (/ (/ t l) l) (+ t t)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (/ t l) l) (+ t t)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (/ t l) l) (+ t t)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (/ t 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))))) (* (* (sin (acos (/ Om Omc))) (sqrt 1/2)) (/ l t)) (* (sin (acos (/ Om Omc))) (sqrt 1/2)) (/ (+ (* (/ Om Omc) (neg (/ Om Omc))) 1) (+ (* (/ t l) (* (/ t l) 2)) 1)) (* (sqrt 1/2) l) (* (* l l) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (* t t))) (pow (/ Om Omc) 2))

simplify74.0ms (0.7%)

Memory
-5.0MiB live, 111.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07256562
029456323
Stop Event
iter limit
iter limit
node limit
Counts
119 → 119
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(asin (sqrt (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4)))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 6)))) (+ (* 8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (/ 1 (pow l 6)))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (* l (sqrt 1/2)) t)
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(/ (* l (* (sin (acos (/ Om Omc))) (sqrt 1/2))) t)
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))
(+ 1 (+ (* -2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1 (/ (pow Om 2) (pow Omc 2)))))
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* 4 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (* 2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))))))
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))) (* 2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))))))
(/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 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 (* -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 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 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 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -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 (* -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)
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* 1/2 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 6))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))))) (pow t 2))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))
(* -1 (/ (+ (* -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 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 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 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -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 (* -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 (* (/ (* 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 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (+ 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)))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -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 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))))))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 6))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 8))) (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))))))
(* l (sqrt 1/2))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (pow l 6)) (sqrt (/ 1 (+ 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)))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))))
(- (+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* 4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))))
(- (+ 1 (+ (* -8 (/ (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t))
(/ (pow Om 2) (pow Omc 2))
(/ 1 (+ 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))))))
(* (sin (acos (/ Om Omc))) (sqrt 1/2))
(/ (pow l 2) (pow t 2))
(+ (* -1 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 2) (pow t 2)))) (/ (pow l 2) (pow t 2)))
(* -1 (/ (pow Om 2) (pow Omc 2)))
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2))))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 2) (pow t 2))))
(* (pow Om 2) (+ (* -1 (/ (pow l 2) (* (pow Omc 2) (pow t 2)))) (/ (pow l 2) (* (pow Om 2) (pow t 2)))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))))
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* -1 (/ (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 l 2)) (pow t 2))) (/ (* (pow Omc 2) (pow l 2)) (pow t 2))) (pow Omc 2))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))
(asin (sqrt (/ (+ 1 (* -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 Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t t) (*.f64 l l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (pow.f64 l #s(literal 4 binary64))) #s(literal -1 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 Om) (*.f64 Omc Omc))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4)))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 6)))) (+ (* 8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (/ 1 (pow l 6)))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (pow.f64 l #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal -4 binary64) (+.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 6 binary64)))) (/.f64 (neg.f64 (*.f64 Om Om)) (*.f64 (pow.f64 l #s(literal 6 binary64)) (*.f64 Omc Omc))))) (*.f64 t t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))) (*.f64 t t) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(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 Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t t) (*.f64 l l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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 Om) (*.f64 Omc Omc)))))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 6 binary64))) (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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 l l)))) (*.f64 t t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) (-.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(/ (* l (sqrt 1/2)) t)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(- 1 (/ (pow Om 2) (pow Omc 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t)) (*.f64 l l)) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 Om Om) (*.f64 Omc 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)))
(-.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l)))) (*.f64 t t) #s(literal 1 binary64)) (/.f64 (*.f64 Om Om) (*.f64 Omc 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)))
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 6 binary64)))) #s(literal -8 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64))))) (*.f64 t t) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l)))) (*.f64 t t) #s(literal 1 binary64)) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
(/ (* l (* (sin (acos (/ Om Omc))) (sqrt 1/2))) t)
(*.f64 l (/.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) t))
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -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 (* -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))
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(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
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(* -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))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
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(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l))
(* 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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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (+ 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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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -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 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))))))
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(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
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(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 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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(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l)) (pow.f64 t #s(literal 4 binary64))) #s(literal -1/4 binary64))) (*.f64 l l))
(* (pow l 2) (+ (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 6))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))))))
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(* (pow l 2) (+ (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 8))) (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))))))
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(* l (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))
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(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (pow l 6)) (sqrt (/ 1 (+ 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)))))))))
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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 (pow.f64 t #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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 Om) (*.f64 Omc Omc))) (*.f64 t t)) (*.f64 l l)) #s(literal 2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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 Om) (*.f64 Omc 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 Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t)) (*.f64 l l)) #s(literal 2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(- (+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* 4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))))
(-.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal 4 binary64) (/.f64 (neg.f64 (*.f64 Om Om)) (*.f64 Omc Omc))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t)) (*.f64 l l)) #s(literal 2 binary64)))
(- (+ 1 (+ (* -8 (/ (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2)))))
(-.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 6 binary64)))) #s(literal -8 binary64) (/.f64 (neg.f64 (*.f64 Om Om)) (*.f64 Omc Omc))) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal -4 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t)) (*.f64 l l)) #s(literal 2 binary64))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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)))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 Omc #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Om Om) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t))
(fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t))
(fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 Omc Omc) t))) (*.f64 Om Om) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (pow.f64 Omc #s(literal 4 binary64)) t))) (*.f64 Om Om) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 Omc Omc) t))) (*.f64 Om Om) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(/ (pow Om 2) (pow Omc 2))
(/.f64 (*.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) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(fma.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))
(* (sin (acos (/ Om Omc))) (sqrt 1/2))
(*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64)))
(/ (pow l 2) (pow t 2))
(/.f64 (*.f64 l l) (*.f64 t t))
(+ (* -1 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 2) (pow t 2)))) (/ (pow l 2) (pow t 2)))
(fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (/.f64 (*.f64 l l) (*.f64 t t))) #s(literal -1 binary64) (/.f64 (*.f64 l l) (*.f64 t t)))
(* -1 (/ (pow Om 2) (pow Omc 2)))
(/.f64 (neg.f64 (*.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 (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) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) 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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))) 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))))) Om)
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))
(/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 t Omc))
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t Omc))) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) t))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t Omc)))) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) t))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) t))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t 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) (*.f64 l l)) #s(literal 2 binary64) #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) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 Om Om))
(* -1 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 2) (pow t 2))))
(neg.f64 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (/.f64 (*.f64 l l) (*.f64 t t))))
(* (pow Om 2) (+ (* -1 (/ (pow l 2) (* (pow Omc 2) (pow t 2)))) (/ (pow l 2) (* (pow Om 2) (pow t 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 Omc Omc) (*.f64 t t))) #s(literal -1 binary64) (/.f64 (*.f64 l l) (*.f64 (*.f64 Om Om) (*.f64 t t)))) (*.f64 Om Om))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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))))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) 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)))))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))) Om))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))))) Om))
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)))
(neg.f64 (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 t Omc)))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t Omc))) Om))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) t))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t Omc)))) Om))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) t))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) t))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t Omc))))) Om))
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2))
(/.f64 (fma.f64 Omc Omc (neg.f64 (*.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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 Omc Omc) Om) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Omc Omc) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 Omc Omc) (*.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Omc Omc) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) Omc)
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) t) Om)) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 Omc Omc) (pow.f64 Om #s(literal 3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) t))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) t) Om))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 Omc Omc) (pow.f64 Om #s(literal 5 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) t))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 (pow.f64 Om #s(literal 3 binary64)) t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 Omc Omc) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) t) Om))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) t)) Omc)
(/ (+ (* -1 (/ (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) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (*.f64 Om Om)) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 Omc Omc))
(/ (+ (* -1 (/ (* (pow Om 2) (pow l 2)) (pow t 2))) (/ (* (pow Omc 2) (pow l 2)) (pow t 2))) (pow Omc 2))
(/.f64 (fma.f64 (*.f64 Omc Omc) (/.f64 (*.f64 l l) (*.f64 t t)) (neg.f64 (*.f64 (*.f64 Om Om) (/.f64 (*.f64 l l) (*.f64 t t))))) (*.f64 Omc Omc))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (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 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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)))))))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (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 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
(fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))

rewrite174.0ms (1.7%)

Memory
9.2MiB live, 254.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067496
0107439
1395439
22958439
08549424
Stop Event
iter limit
node limit
iter limit
Counts
24 → 923
Calls
Call 1
Inputs
(fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64))
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64)))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t)))
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))
(*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t)))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))))))
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(*.f64 (pow.f64 Omc #s(literal -2 binary64)) (pow.f64 (pow.f64 Om #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 Omc #s(literal -2 binary64)) (*.f64 Om Om))
(*.f64 (*.f64 (neg.f64 Om) Om) (/.f64 #s(literal -1 binary64) (*.f64 Omc Omc)))
(*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc)))
(*.f64 (neg.f64 Om) (*.f64 (neg.f64 Om) (pow.f64 Omc #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 Om Om) (fabs.f64 (neg.f64 (pow.f64 Omc #s(literal -2 binary64)))))
(*.f64 (*.f64 Om Om) (fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 Omc Omc))))
(*.f64 (*.f64 Om Om) (pow.f64 (pow.f64 Omc #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 Om Om) (pow.f64 (pow.f64 (neg.f64 Omc) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 (neg.f64 Om) Omc))
(*.f64 (/.f64 Om Omc) (fabs.f64 (*.f64 (/.f64 Om Omc) #s(literal 1 binary64))))
(*.f64 (/.f64 Om Omc) (fabs.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) #s(literal 1 binary64))))
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc))
(*.f64 Om (fabs.f64 (/.f64 (/.f64 (neg.f64 Om) Omc) Omc)))
(*.f64 Om (fabs.f64 (*.f64 (pow.f64 Omc #s(literal -1 binary64)) (/.f64 (neg.f64 Om) Omc))))
(*.f64 Om (fabs.f64 (neg.f64 (*.f64 Om (pow.f64 Omc #s(literal -2 binary64))))))
(*.f64 Om (fabs.f64 (*.f64 (neg.f64 Om) (pow.f64 Omc #s(literal -2 binary64)))))
(*.f64 Om (fabs.f64 (pow.f64 (*.f64 Omc (/.f64 Omc Om)) #s(literal -1 binary64))))
(*.f64 Om (pow.f64 (/.f64 Om (*.f64 (neg.f64 Omc) Omc)) #s(literal 1 binary64)))
(*.f64 Om (pow.f64 (*.f64 (neg.f64 Om) (pow.f64 Omc #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 Om (pow.f64 (pow.f64 (*.f64 Omc (/.f64 Omc Om)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 Om (pow.f64 (*.f64 Om (pow.f64 Omc #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 Om (pow.f64 (*.f64 Omc (/.f64 Omc Om)) #s(literal -1 binary64)))
(*.f64 Om (*.f64 Om (pow.f64 Omc #s(literal -2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 Om Omc)))
(pow.f64 (/.f64 Omc (*.f64 Om (/.f64 Om Omc))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64)) #s(literal 1 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 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (neg.f64 Om) Omc) #s(literal 2 binary64))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 Om) (/.f64 Om Omc))) (neg.f64 (neg.f64 Omc)))
(/.f64 (neg.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om))) (neg.f64 (neg.f64 Omc)))
(/.f64 (neg.f64 (*.f64 (/.f64 Om Omc) #s(literal 1 binary64))) (neg.f64 (/.f64 Omc Om)))
(/.f64 (neg.f64 (*.f64 (/.f64 Om Omc) Om)) (neg.f64 Omc))
(/.f64 (neg.f64 (*.f64 (*.f64 Om Om) #s(literal 1 binary64))) (*.f64 (neg.f64 Omc) Omc))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 Om (/.f64 Om Omc)))) (neg.f64 Omc))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) Om))) (*.f64 Omc Omc))
(/.f64 (neg.f64 (*.f64 (neg.f64 Om) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 Omc) (/.f64 Omc Om))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 Om))) (neg.f64 (*.f64 (/.f64 Omc Om) (neg.f64 Omc))))
(/.f64 (neg.f64 (*.f64 Om #s(literal 1 binary64))) (neg.f64 (*.f64 Omc (/.f64 Omc Om))))
(/.f64 (fabs.f64 (*.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc) #s(literal 1 binary64))) Omc)
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 Om) Omc))) (/.f64 Omc Om))
(/.f64 (fabs.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) (neg.f64 Om))) Omc)
(/.f64 (fabs.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc))) Omc)
(/.f64 (fabs.f64 (*.f64 (neg.f64 Om) (/.f64 Om Omc))) Omc)
(/.f64 (fabs.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om))) Omc)
(/.f64 (fabs.f64 (*.f64 (*.f64 Om Om) #s(literal 1 binary64))) (*.f64 Omc Omc))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 Om (/.f64 Om Omc)))) Omc)
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) Om))) (*.f64 Omc Omc))
(/.f64 (fabs.f64 (*.f64 (neg.f64 Om) #s(literal 1 binary64))) (fabs.f64 (*.f64 (neg.f64 Omc) (/.f64 Omc Om))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 Om) #s(literal 1 binary64))) (fabs.f64 (*.f64 Omc (/.f64 Omc Om))))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 Om))) (fabs.f64 (*.f64 (/.f64 Omc Om) (neg.f64 Omc))))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 Om))) (fabs.f64 (*.f64 (/.f64 Omc Om) Omc)))
(/.f64 (fabs.f64 (*.f64 Om #s(literal 1 binary64))) (fabs.f64 (*.f64 (neg.f64 Omc) (/.f64 Omc Om))))
(/.f64 (fabs.f64 (*.f64 Om #s(literal 1 binary64))) (fabs.f64 (*.f64 Omc (/.f64 Omc Om))))
(/.f64 (fabs.f64 (*.f64 (/.f64 Om Omc) #s(literal 1 binary64))) (/.f64 Omc Om))
(/.f64 (fabs.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) #s(literal 1 binary64))) (/.f64 Omc Om))
(/.f64 (fabs.f64 (*.f64 (/.f64 Om Omc) Om)) Omc)
(/.f64 (*.f64 (neg.f64 Om) (/.f64 Om Omc)) (neg.f64 Omc))
(/.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om)) (neg.f64 Omc))
(/.f64 (*.f64 (/.f64 Om Omc) #s(literal 1 binary64)) (/.f64 Omc Om))
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc)) (neg.f64 (neg.f64 Omc)))
(/.f64 (*.f64 (*.f64 Om Om) #s(literal 1 binary64)) (*.f64 Omc Omc))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 Om (/.f64 Om Omc))) Omc)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) Om)) (*.f64 (neg.f64 Omc) Omc))
(/.f64 (*.f64 (neg.f64 Om) #s(literal 1 binary64)) (*.f64 (neg.f64 Omc) (/.f64 Omc Om)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 Om)) (*.f64 (/.f64 Omc Om) (neg.f64 Omc)))
(/.f64 (*.f64 Om #s(literal 1 binary64)) (*.f64 Omc (/.f64 Omc Om)))
(/.f64 (*.f64 Om (/.f64 Om Omc)) Omc)
(/.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc) (neg.f64 Omc))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 Omc (*.f64 Om (/.f64 Om Omc)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64))))
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 (neg.f64 Omc) Omc))
(/.f64 (neg.f64 Om) (neg.f64 (*.f64 (/.f64 Omc Om) Omc)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 Omc (/.f64 (*.f64 (neg.f64 Om) Om) Omc))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 Omc (*.f64 Om (/.f64 Om Omc)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 Omc (*.f64 Om (/.f64 Om Omc))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64)))
(/.f64 (/.f64 (neg.f64 Om) Omc) (neg.f64 (/.f64 Omc Om)))
(/.f64 (/.f64 Om Omc) (/.f64 Omc Om))
(/.f64 Om (fabs.f64 (*.f64 (/.f64 Omc Om) (neg.f64 Omc))))
(/.f64 Om (fabs.f64 (*.f64 (/.f64 Omc Om) Omc)))
(/.f64 Om (*.f64 (/.f64 Omc Om) Omc))
(neg.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)))
(fabs.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 Om) #s(literal 2 binary64)) (*.f64 (log.f64 Omc) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
(asin.f64 (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 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
(/.f64 (neg.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 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) #s(literal 2 binary64)))) (neg.f64 (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 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.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 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.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 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 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 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (pow.f64 t #s(literal -2 binary64)) (-.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 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.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 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.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 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.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 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.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 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))))
(*.f64 (neg.f64 (pow.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 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 1/4 binary64))) (neg.f64 (pow.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 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.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 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 1/4 binary64))) (fabs.f64 (pow.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 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 1/4 binary64))))
(*.f64 (pow.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 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (*.f64 (pow.f64 t #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))
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(/.f64 (neg.f64 (*.f64 (neg.f64 Om) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 Omc) (/.f64 Omc Om))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 Om))) (neg.f64 (*.f64 (/.f64 Omc Om) (neg.f64 Omc))))
(/.f64 (neg.f64 (*.f64 Om #s(literal 1 binary64))) (neg.f64 (*.f64 Omc (/.f64 Omc Om))))
(/.f64 (fabs.f64 (*.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc) #s(literal 1 binary64))) Omc)
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 Om) Omc))) (/.f64 Omc Om))
(/.f64 (fabs.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) (neg.f64 Om))) Omc)
(/.f64 (fabs.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc))) Omc)
(/.f64 (fabs.f64 (*.f64 (neg.f64 Om) (/.f64 Om Omc))) Omc)
(/.f64 (fabs.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om))) Omc)
(/.f64 (fabs.f64 (*.f64 (*.f64 Om Om) #s(literal 1 binary64))) (*.f64 Omc Omc))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 Om (/.f64 Om Omc)))) Omc)
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) Om))) (*.f64 Omc Omc))
(/.f64 (fabs.f64 (*.f64 (neg.f64 Om) #s(literal 1 binary64))) (fabs.f64 (*.f64 (neg.f64 Omc) (/.f64 Omc Om))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 Om) #s(literal 1 binary64))) (fabs.f64 (*.f64 Omc (/.f64 Omc Om))))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 Om))) (fabs.f64 (*.f64 (/.f64 Omc Om) (neg.f64 Omc))))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 Om))) (fabs.f64 (*.f64 (/.f64 Omc Om) Omc)))
(/.f64 (fabs.f64 (*.f64 Om #s(literal 1 binary64))) (fabs.f64 (*.f64 (neg.f64 Omc) (/.f64 Omc Om))))
(/.f64 (fabs.f64 (*.f64 Om #s(literal 1 binary64))) (fabs.f64 (*.f64 Omc (/.f64 Omc Om))))
(/.f64 (fabs.f64 (*.f64 (/.f64 Om Omc) #s(literal 1 binary64))) (/.f64 Omc Om))
(/.f64 (fabs.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) #s(literal 1 binary64))) (/.f64 Omc Om))
(/.f64 (fabs.f64 (*.f64 (/.f64 Om Omc) Om)) Omc)
(/.f64 (*.f64 (neg.f64 Om) (/.f64 Om Omc)) (neg.f64 Omc))
(/.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om)) (neg.f64 Omc))
(/.f64 (*.f64 (/.f64 Om Omc) #s(literal 1 binary64)) (/.f64 Omc Om))
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc)) (neg.f64 (neg.f64 Omc)))
(/.f64 (*.f64 (*.f64 Om Om) #s(literal 1 binary64)) (*.f64 Omc Omc))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 Om (/.f64 Om Omc))) Omc)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) Om)) (*.f64 (neg.f64 Omc) Omc))
(/.f64 (*.f64 (neg.f64 Om) #s(literal 1 binary64)) (*.f64 (neg.f64 Omc) (/.f64 Omc Om)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 Om)) (*.f64 (/.f64 Omc Om) (neg.f64 Omc)))
(/.f64 (*.f64 Om #s(literal 1 binary64)) (*.f64 Omc (/.f64 Omc Om)))
(/.f64 (*.f64 Om (/.f64 Om Omc)) Omc)
(/.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc) (neg.f64 Omc))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 Omc (*.f64 Om (/.f64 Om Omc)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64))))
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 (neg.f64 Omc) Omc))
(/.f64 (neg.f64 Om) (neg.f64 (*.f64 (/.f64 Omc Om) Omc)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 Omc (/.f64 (*.f64 (neg.f64 Om) Om) Omc))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 Omc (*.f64 Om (/.f64 Om Omc)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 Omc (*.f64 Om (/.f64 Om Omc))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64)))
(/.f64 (/.f64 (neg.f64 Om) Omc) (neg.f64 (/.f64 Omc Om)))
(/.f64 (/.f64 Om Omc) (/.f64 Omc Om))
(/.f64 Om (fabs.f64 (*.f64 (/.f64 Omc Om) (neg.f64 Omc))))
(/.f64 Om (fabs.f64 (*.f64 (/.f64 Omc Om) Omc)))
(/.f64 Om (*.f64 (/.f64 Omc Om) Omc))
(neg.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)))
(fabs.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 Om) #s(literal 2 binary64)) (*.f64 (log.f64 Omc) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))

eval91.0ms (0.9%)

Memory
17.4MiB live, 171.4MiB allocated
Compiler

Compiled 30 319 to 3 824 computations (87.4% saved)

prune30.0ms (0.3%)

Memory
-1.2MiB live, 75.7MiB allocated
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New6746680
Fresh4913
Picked325
Done022
Total68119700
Accuracy
99.4%
Counts
700 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.4%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
61.9%
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))))))))))
50.6%
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))))))
80.4%
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 t l) l) (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)))))
83.8%
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
80.7%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))))
81.9%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l)))))))
75.2%
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
64.8%
(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 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))
50.6%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
44.9%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
47.3%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc)))))))
22.4%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 #s(approx (* (* l l) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (* t t))) (/.f64 (*.f64 l l) (*.f64 t t))) #s(literal 1/2 binary64)))))
50.6%
(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 (/.f64 Om Omc) Om) Omc))))))
46.7%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))
49.8%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
48.9%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)))))
49.8%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
49.7%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
Compiler

Compiled 1 612 to 907 computations (43.7% saved)

simplify108.0ms (1.1%)

Memory
12.6MiB live, 133.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
cost-diff0
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
cost-diff2
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff2
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
cost-diff0
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))
cost-diff0
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc))))
cost-diff0
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
cost-diff2
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)
cost-diff0
(acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
cost-diff0
(neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
cost-diff0
(*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
cost-diff0
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
cost-diff0
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
cost-diff0
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
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) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))))))
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) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l)))))))
cost-diff1
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))))
cost-diff5
(*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069748
0108711
1197711
2522676
32145676
46230676
08101659
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) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l)))
(*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))
(*.f64 (/.f64 t l) (neg.f64 t))
(/.f64 t l)
t
l
(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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
(*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
l
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
t
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(PI.f64)
#s(literal 1/2 binary64)
(neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(sqrt.f64 #s(literal 1/2 binary64))
l
t
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)
(*.f64 (/.f64 Om Omc) Om)
(/.f64 Om Omc)
Om
Omc
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
#s(literal 1 binary64)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(*.f64 Om Om)
Om
(*.f64 Omc Omc)
Omc
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 t l)
t
l
(*.f64 (/.f64 t l) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 Om Omc)
Om
Omc
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))))
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l)))
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(*.f64 (/.f64 t l) (neg.f64 t))
(*.f64 (/.f64 (neg.f64 t) l) t)
(/.f64 t l)
t
l
(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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))
(*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)
l
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
t
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(-.f64 (*.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 (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))))
(PI.f64)
#s(literal 1/2 binary64)
(neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))))
(acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)
(sqrt.f64 #s(literal 1/2 binary64))
l
t
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(*.f64 (/.f64 Om Omc) Om)
(/.f64 Om Omc)
Om
Omc
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.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 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.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(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
#s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(*.f64 Om Om)
Om
(*.f64 Omc Omc)
Omc
(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))
#s(literal 2 binary64)

localize356.0ms (3.6%)

Memory
-2.6MiB live, 472.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy0.40820052078664176
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
accuracy9.81206870720782
(sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
accuracy13.001601556197365
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
accuracy0.40820052078664176
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
accuracy3.156176848968154
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)
accuracy9.81206870720782
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc))))
accuracy31.498204543599243
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))
accuracy0.9030754447212384
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
accuracy23.948389504959724
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
accuracy26.489307974783692
(acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
accuracy29.97614873409534
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
accuracy0.40820052078664176
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
accuracy0.48046875
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
accuracy0.9030754447212384
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
accuracy29.97614873409534
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
accuracy0.248378759768442
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
accuracy0.40820052078664176
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l)))))))
accuracy3.8444587613490375
(*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))
accuracy9.81206870720782
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))))))
Samples
158.0ms102×2valid
145.0ms148×1valid
2.0ms0valid
Compiler

Compiled 1 269 to 126 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 226.0ms
adjust: 60.0ms (26.5% of total)
ival-mult: 35.0ms (15.5% of total)
ival-div: 33.0ms (14.6% of total)
ival-acos: 28.0ms (12.4% of total)
ival-asin: 17.0ms (7.5% of total)
ival-sqrt: 17.0ms (7.5% of total)
ival-pow2: 12.0ms (5.3% of total)
ival-add: 11.0ms (4.9% of total)
ival-sub: 8.0ms (3.5% of total)
ival-neg: 4.0ms (1.8% of total)
ival-pi: 2.0ms (0.9% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series58.0ms (0.6%)

Memory
12.9MiB live, 51.0MiB allocated
Counts
24 → 81
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
(*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(PI.f64)
(neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
Outputs
(/ (pow t 2) (pow l 2))
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (* l (sqrt 1/2)) t)
(- (* 1/2 (PI)) (acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(/ (sqrt 1/2) t)
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(+ (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)))))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t))
(/ (pow Om 2) (pow Omc 2))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (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)))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
Calls

12 calls:

TimeVariablePointExpression
26.0ms
t
@-inf
((* (* (/ t l) (neg t)) (/ -1 l)) (+ 1 (* 2 (* (* (/ t l) (neg t)) (/ -1 l)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (* (/ t l) (neg t)) (/ -1 l))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (* (/ t l) (neg t)) (/ -1 l)))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (* l (/ (sqrt 1/2) t)) (+ (* (PI) 1/2) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (PI) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))))) (acos (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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ (* Om Om) (* Omc Omc)) (+ (* (/ 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))) (pow (/ Om Omc) 2) (/ (sqrt 1/2) t) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))))
3.0ms
t
@0
((* (* (/ t l) (neg t)) (/ -1 l)) (+ 1 (* 2 (* (* (/ t l) (neg t)) (/ -1 l)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (* (/ t l) (neg t)) (/ -1 l))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (* (/ t l) (neg t)) (/ -1 l)))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (* l (/ (sqrt 1/2) t)) (+ (* (PI) 1/2) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (PI) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))))) (acos (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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ (* Om Om) (* Omc Omc)) (+ (* (/ 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))) (pow (/ Om Omc) 2) (/ (sqrt 1/2) t) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))))
3.0ms
l
@-inf
((* (* (/ t l) (neg t)) (/ -1 l)) (+ 1 (* 2 (* (* (/ t l) (neg t)) (/ -1 l)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (* (/ t l) (neg t)) (/ -1 l))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (* (/ t l) (neg t)) (/ -1 l)))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (* l (/ (sqrt 1/2) t)) (+ (* (PI) 1/2) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (PI) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))))) (acos (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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ (* Om Om) (* Omc Omc)) (+ (* (/ 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))) (pow (/ Om Omc) 2) (/ (sqrt 1/2) t) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))))
3.0ms
t
@inf
((* (* (/ t l) (neg t)) (/ -1 l)) (+ 1 (* 2 (* (* (/ t l) (neg t)) (/ -1 l)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (* (/ t l) (neg t)) (/ -1 l))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (* (/ t l) (neg t)) (/ -1 l)))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (* l (/ (sqrt 1/2) t)) (+ (* (PI) 1/2) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (PI) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))))) (acos (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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ (* Om Om) (* Omc Omc)) (+ (* (/ 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))) (pow (/ Om Omc) 2) (/ (sqrt 1/2) t) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))))
3.0ms
l
@0
((* (* (/ t l) (neg t)) (/ -1 l)) (+ 1 (* 2 (* (* (/ t l) (neg t)) (/ -1 l)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (* (/ t l) (neg t)) (/ -1 l))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (* (/ t l) (neg t)) (/ -1 l)))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (* l (/ (sqrt 1/2) t)) (+ (* (PI) 1/2) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (PI) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))))) (acos (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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ (* Om Om) (* Omc Omc)) (+ (* (/ 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))) (pow (/ Om Omc) 2) (/ (sqrt 1/2) t) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))))

simplify109.0ms (1.1%)

Memory
-6.1MiB live, 75.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04884295
017854115
Stop Event
iter limit
iter limit
node limit
Counts
81 → 81
Calls
Call 1
Inputs
(/ (pow t 2) (pow l 2))
1
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))))))))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(/ (* l (sqrt 1/2)) t)
(- (* 1/2 (PI)) (acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2)))
(/ (sqrt 1/2) t)
(* 2 (/ (pow t 2) (pow l 2)))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))))))
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2)))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4)))))))
(+ (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)))))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t))
(/ (pow Om 2) (pow Omc 2))
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc)
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc)
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (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)))))))))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
Outputs
(/ (pow t 2) (pow l 2))
(/.f64 (*.f64 t t) (*.f64 l l))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (pow t 2) (pow l 2))))
(fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t t) (*.f64 l l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (-.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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 Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 8 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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 l l)))) (*.f64 t t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) (-.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(/ (* l (sqrt 1/2)) t)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)
(- (* 1/2 (PI)) (acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(* -1 (acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(- 1 (/ (pow Om 2) (pow Omc 2)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2)))
(-.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l))) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 Om Om) (*.f64 Omc 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)))
(-.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l)))) (*.f64 t t) #s(literal 1 binary64)) (/.f64 (*.f64 Om Om) (*.f64 Omc 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)))
(-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 6 binary64)))) #s(literal -8 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64))))) (*.f64 t t) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l)))) (*.f64 t t) #s(literal 1 binary64)) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))
(/ (sqrt 1/2) t)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(* 2 (/ (pow t 2) (pow l 2)))
(/.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 l l))
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 #s(literal 2 binary64) (*.f64 l l))) (*.f64 t t))
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (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 -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (*.f64 t t) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (*.f64 (*.f64 l (pow.f64 t #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (*.f64 t t) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) t)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)
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(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))
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(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2))
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(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2))
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(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2))
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(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))
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(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t))
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(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2))
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l))
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))
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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)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 t #s(literal 8 binary64)))) #s(literal -1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 t #s(literal 6 binary64))))) (*.f64 l l) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (pow.f64 t #s(literal 4 binary64))))) (*.f64 l l) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t)) #s(literal 1/2 binary64))) (*.f64 l l))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))
(+.f64 (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 Om) (*.f64 Omc Omc))))) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (*.f64 t t) (*.f64 l l))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -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))))))))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (pow.f64 l #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) #s(literal 8 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))) (*.f64 t t))) (pow.f64 l #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (/.f64 (*.f64 t t) (*.f64 l l))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(- (+ 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 Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l))) #s(literal 2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc 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 Om) (*.f64 Omc 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 Om) (*.f64 Omc Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal -4 binary64) (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 l l))) #s(literal 2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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)))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 Omc #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Om Om) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t))
(fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t))
(fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 Omc Omc) t))) (*.f64 Om Om) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (pow.f64 Omc #s(literal 4 binary64)) t))) (*.f64 Om Om) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 Omc Omc) t))) (*.f64 Om Om) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
(/ (pow Om 2) (pow Omc 2))
(/.f64 (*.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) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))
(fma.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 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 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) 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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))) 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))))) Om)
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))
(/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Omc t))
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 Omc t))) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) t))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 Omc t)))) Om)
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) t))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) t))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 Omc t))))) Om)
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))
(neg.f64 (/.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 Om Om))
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))
(neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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))))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) 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)))))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))) Om))
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.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))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))))) Om))
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)))
(neg.f64 (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Omc t)))
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 Omc t))) Om))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) t))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 Omc t)))) Om))
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) t))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) t))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 Omc t))))) Om))
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 Omc Omc) Om) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Omc Omc) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 Omc Omc) (*.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Omc Omc) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) Omc)
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) t) Om)) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 Omc Omc) (pow.f64 Om #s(literal 3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) t))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) t) Om))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) t)) Omc)
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 Omc Omc) (pow.f64 Om #s(literal 5 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) t))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 (pow.f64 Om #s(literal 3 binary64)) t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 Omc Omc) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) t) Om))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) t)) Omc)
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2))
(/.f64 (fma.f64 (/.f64 (*.f64 Om Om) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 Omc Omc) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 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))))))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (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 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #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)))))))))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (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 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64)))))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t)))
(fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t))))
(fma.f64 (*.f64 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))

rewrite244.0ms (2.4%)

Memory
-26.2MiB live, 207.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069569
0108537
1385472
22808472
08791457
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 164
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l)))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))
(*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(PI.f64)
(neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))
(acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc))))
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc))
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))
Outputs
(*.f64 (neg.f64 (neg.f64 (/.f64 t l))) (neg.f64 (neg.f64 (/.f64 t l))))
(*.f64 (fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 t l))) (fabs.f64 (neg.f64 t)))
(*.f64 (fabs.f64 (*.f64 (neg.f64 t) (*.f64 (/.f64 t l) #s(literal -1 binary64)))) (fabs.f64 (pow.f64 l #s(literal -1 binary64))))
(*.f64 (fabs.f64 (*.f64 (/.f64 t l) t)) (fabs.f64 (pow.f64 l #s(literal -1 binary64))))
(*.f64 (fabs.f64 (*.f64 (neg.f64 t) (/.f64 t l))) (fabs.f64 (/.f64 #s(literal -1 binary64) l)))
(*.f64 (fabs.f64 (neg.f64 t)) (fabs.f64 (*.f64 (/.f64 t l) (/.f64 #s(literal -1 binary64) l))))
(*.f64 (fabs.f64 t) (fabs.f64 (pow.f64 (*.f64 l (/.f64 l t)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) l)) (fabs.f64 (*.f64 (neg.f64 t) (/.f64 t l))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 t l)) #s(literal 1 binary64)) (pow.f64 (neg.f64 t) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 t t) #s(literal 1 binary64)) (pow.f64 (pow.f64 l #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (/.f64 t l)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (/.f64 t l)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 t) (*.f64 (/.f64 t l) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 t l) t) #s(literal 1 binary64)) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 t) (/.f64 t l)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64)) (pow.f64 (*.f64 (neg.f64 t) (/.f64 t l)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 t) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 t l) (/.f64 #s(literal -1 binary64) l)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 t l)) (neg.f64 t))
(*.f64 (/.f64 (neg.f64 t) l) (/.f64 (neg.f64 t) l))
(*.f64 (*.f64 t (/.f64 #s(literal -1 binary64) l)) (*.f64 t (/.f64 #s(literal -1 binary64) l)))
(*.f64 (/.f64 t (neg.f64 l)) (/.f64 t (neg.f64 l)))
(*.f64 (*.f64 t t) (pow.f64 l #s(literal -2 binary64)))
(*.f64 (neg.f64 (/.f64 t l)) (neg.f64 (/.f64 t l)))
(*.f64 (pow.f64 l #s(literal -2 binary64)) (*.f64 t t))
(*.f64 (*.f64 (neg.f64 t) (*.f64 (/.f64 t l) #s(literal -1 binary64))) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 t l) t) (pow.f64 l #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (neg.f64 t) (/.f64 t l)))))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 t (/.f64 #s(literal -1 binary64) l)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t (neg.f64 l)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) l) (*.f64 (neg.f64 t) (/.f64 t l)))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (neg.f64 t) (/.f64 t l))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (neg.f64 t) (/.f64 t l))))
(*.f64 (*.f64 (neg.f64 t) (/.f64 t l)) (/.f64 #s(literal -1 binary64) l))
(*.f64 (neg.f64 t) (*.f64 (/.f64 t l) (/.f64 #s(literal -1 binary64) l)))
(*.f64 (/.f64 t l) (/.f64 t l))
(*.f64 t (pow.f64 (pow.f64 (*.f64 l (/.f64 l t)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 t (pow.f64 (*.f64 l (/.f64 l t)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 t l)))
(pow.f64 (/.f64 l (*.f64 (neg.f64 t) (*.f64 (/.f64 t l) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 l t) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 t l)) #s(literal 2 binary64))
(pow.f64 (/.f64 l t) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 t l)))) (neg.f64 (*.f64 l #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 t l)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) l))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) (*.f64 (neg.f64 t) t))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 t) (/.f64 t l)) #s(literal 1 binary64))) (neg.f64 (*.f64 l #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 t) (/.f64 t l)) #s(literal 1 binary64))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (/.f64 t l) #s(literal 1 binary64))) (neg.f64 (/.f64 l t)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 t) (*.f64 (/.f64 t l) #s(literal -1 binary64))))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t))) (neg.f64 (*.f64 (*.f64 l #s(literal -1 binary64)) l)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t))) (neg.f64 (*.f64 (neg.f64 l) l)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) t))) (neg.f64 (*.f64 l l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64))) (neg.f64 (*.f64 l (*.f64 l #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64))) (neg.f64 (*.f64 l (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t))) (neg.f64 (*.f64 (/.f64 l t) (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) t)) (neg.f64 (*.f64 (/.f64 l t) l)))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 l) (/.f64 l t))))
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (neg.f64 (*.f64 l (/.f64 l t))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 t l)))) (fabs.f64 (*.f64 l #s(literal -1 binary64))))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 t l)))) (fabs.f64 (neg.f64 l)))
(/.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) l))) (fabs.f64 l))
(/.f64 (fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) (*.f64 (neg.f64 t) t))) (fabs.f64 l))
(/.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 t) (/.f64 t l)) #s(literal 1 binary64))) (fabs.f64 (*.f64 l #s(literal -1 binary64))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 t) (/.f64 t l)) #s(literal 1 binary64))) (fabs.f64 (neg.f64 l)))
(/.f64 (fabs.f64 (neg.f64 (*.f64 (neg.f64 t) (*.f64 (/.f64 t l) #s(literal -1 binary64))))) (fabs.f64 (neg.f64 l)))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t))) (fabs.f64 (*.f64 (/.f64 l t) (neg.f64 l))))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) t)) (fabs.f64 (*.f64 (/.f64 l t) l)))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t))) (fabs.f64 (*.f64 (*.f64 l #s(literal -1 binary64)) l)))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t))) (fabs.f64 (*.f64 (neg.f64 l) l)))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) t))) (*.f64 l l))
(/.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64))) (fabs.f64 (*.f64 l (*.f64 l #s(literal -1 binary64)))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64))) (fabs.f64 (*.f64 l (neg.f64 l))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64))) (*.f64 l l))
(/.f64 (fabs.f64 (*.f64 (neg.f64 t) t)) (fabs.f64 (*.f64 l (neg.f64 l))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 t) t)) (fabs.f64 (*.f64 (neg.f64 l) l)))
(/.f64 (fabs.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64))) (fabs.f64 (*.f64 (neg.f64 l) (/.f64 l t))))
(/.f64 (fabs.f64 (*.f64 t #s(literal 1 binary64))) (fabs.f64 (*.f64 l (/.f64 l t))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 t) (*.f64 (/.f64 t l) #s(literal -1 binary64)))) (fabs.f64 l))
(/.f64 (fabs.f64 (*.f64 (/.f64 t l) t)) (fabs.f64 l))
(/.f64 (fabs.f64 (*.f64 (/.f64 t l) #s(literal 1 binary64))) (fabs.f64 (/.f64 l t)))
(/.f64 (fabs.f64 (*.f64 (neg.f64 t) (/.f64 t l))) (fabs.f64 (*.f64 l #s(literal -1 binary64))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 t) (/.f64 t l))) (fabs.f64 (neg.f64 l)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 t l))) (*.f64 l #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 t l))) (neg.f64 l))
(/.f64 (*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal -1 binary64) l)) l)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) (*.f64 (neg.f64 t) t)) l)
(/.f64 (*.f64 (*.f64 (neg.f64 t) (/.f64 t l)) #s(literal 1 binary64)) (*.f64 l #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 t) (/.f64 t l)) #s(literal 1 binary64)) (neg.f64 l))
(/.f64 (*.f64 (/.f64 t l) #s(literal 1 binary64)) (/.f64 l t))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) (/.f64 t l))) (neg.f64 (*.f64 l #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) (/.f64 t l))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) t)) (neg.f64 (*.f64 l (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) t)) (neg.f64 (*.f64 (neg.f64 l) l)))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) (*.f64 (/.f64 t l) #s(literal -1 binary64)))) (neg.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t)) (*.f64 (/.f64 l t) (neg.f64 l)))
(/.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 (/.f64 l t) l))
(/.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64)) (*.f64 (neg.f64 l) (/.f64 l t)))
(/.f64 (*.f64 t #s(literal 1 binary64)) (*.f64 l (/.f64 l t)))
(/.f64 (*.f64 t t) (*.f64 l l))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t)) (*.f64 (*.f64 l #s(literal -1 binary64)) l))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t)) (*.f64 (neg.f64 l) l))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) t)) (*.f64 l l))
(/.f64 (*.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64)) (*.f64 l (*.f64 l #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64)) (*.f64 l (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64)) (*.f64 l l))
(/.f64 (neg.f64 (/.f64 t l)) (neg.f64 (/.f64 l t)))
(/.f64 (*.f64 (neg.f64 t) t) (neg.f64 (*.f64 l l)))
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 l (neg.f64 l)))
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 l) l))
(/.f64 (*.f64 (neg.f64 t) (*.f64 (/.f64 t l) #s(literal -1 binary64))) l)
(/.f64 (*.f64 (/.f64 t l) t) l)
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 l (*.f64 (neg.f64 t) (*.f64 (/.f64 t l) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (neg.f64 t) (*.f64 (/.f64 t l) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 l t) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 (neg.f64 t) (*.f64 (/.f64 t l) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 l t) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 t) (/.f64 t l)) (*.f64 l #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 t) (/.f64 t l)) (neg.f64 l))
(/.f64 (/.f64 t l) (fabs.f64 (/.f64 l t)))
(/.f64 (/.f64 t l) (/.f64 l t))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) (*.f64 (/.f64 t l) t)))
(neg.f64 (*.f64 (*.f64 (/.f64 t l) t) (/.f64 #s(literal -1 binary64) l)))
(sqrt.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)))
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) l) (*.f64 (/.f64 t l) t)))
(fabs.f64 (*.f64 (*.f64 (/.f64 t l) t) (/.f64 #s(literal -1 binary64) l)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 t l)) (log.f64 (/.f64 t l))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (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) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 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)))
(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 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
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(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
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(fabs.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 Om) #s(literal 2 binary64)) (*.f64 (log.f64 Omc) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (neg.f64 t) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))
(pow.f64 (/.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) (neg.f64 t))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 t))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (neg.f64 t))))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)) t)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) t)
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 t))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) t))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 t)))
(exp.f64 (*.f64 (log.f64 (/.f64 t (sqrt.f64 #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 (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))
#s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))

eval208.0ms (2.1%)

Memory
23.6MiB live, 222.3MiB allocated
Compiler

Compiled 37 303 to 4 092 computations (89% saved)

prune79.0ms (0.8%)

Memory
16.3MiB live, 93.1MiB allocated
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New8459854
Fresh3710
Picked145
Done044
Total84924873
Accuracy
99.4%
Counts
873 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.5%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.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)))))))
49.5%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #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))))))))
2.2%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
50.0%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.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)))))))
49.9%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
13.4%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
83.8%
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
81.9%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) l) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 t)) (/.f64 t l)) #s(literal 1 binary64)))))
80.7%
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))))
75.2%
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
64.8%
(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 t t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))
50.6%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
44.9%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
47.3%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc)))))))
22.4%
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 #s(approx (* (* l l) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (* t t))) (/.f64 (*.f64 l l) (*.f64 t t))) #s(literal 1/2 binary64)))))
50.6%
(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 (/.f64 Om Omc) Om) Omc))))))
46.7%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))
49.8%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))
48.9%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)))))
49.8%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 l (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))
49.8%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
49.7%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 t #s(literal -1 binary64)) l)))))
49.7%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
49.7%
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))))
Compiler

Compiled 2 486 to 940 computations (62.2% saved)

regimes280.0ms (2.8%)

Memory
-4.6MiB live, 241.0MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 l (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 #s(approx (* (* l l) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (* t t))) (/.f64 (*.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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
(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 t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.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 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc))))))
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 t l) l) (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 t #s(literal -1 binary64)) 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)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.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 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) l) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 t)) (/.f64 t l)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) t))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 l l) (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) l)))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (/.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64))))))))))
Outputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t))))
Calls

14 calls:

40.0ms
l
39.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
38.0ms
(/.f64 t l)
33.0ms
(/.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)))))
24.0ms
Omc
Results
AccuracySegmentsBranch
91.3%2t
87.1%2l
83.8%1Om
83.8%1Omc
99.2%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)))))))
99.2%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))))))
99.2%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)))))
83.8%1(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
83.8%1(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
83.8%1(/.f64 Om Omc)
99.2%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
99.2%2(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
99.2%2(pow.f64 (/.f64 t l) #s(literal 2 binary64))
99.2%2(/.f64 t l)
Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes64.0ms (0.6%)

Memory
-36.1MiB live, 122.5MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 l (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 #s(approx (* (* l l) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (* t t))) (/.f64 (*.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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
(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 t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.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 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc))))))
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 t l) l) (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 t #s(literal -1 binary64)) 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)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.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 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) l) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 t)) (/.f64 t l)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (neg.f64 t)) (/.f64 #s(literal -1 binary64) 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) (/.f64 (/.f64 t l) (/.f64 l t)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
Calls

7 calls:

10.0ms
(/.f64 t l)
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)))))
9.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
8.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
8.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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
99.2%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)))))))
99.2%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))))))
99.2%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)))))
99.2%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
99.2%2(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
99.2%2(pow.f64 (/.f64 t l) #s(literal 2 binary64))
99.2%2(/.f64 t l)
Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes57.0ms (0.6%)

Memory
37.3MiB live, 115.7MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 l (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 #s(approx (* (* l l) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (* t t))) (/.f64 (*.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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
(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 t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.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 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc))))))
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 t l) l) (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 t #s(literal -1 binary64)) 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)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.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 (/.f64 t l) l) (+.f64 t t) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 t l) t) l))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) l) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 t)) (/.f64 t l)) #s(literal 1 binary64)))))
Outputs
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
Calls

7 calls:

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)))))
9.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
8.0ms
(/.f64 t l)
8.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
8.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
Results
AccuracySegmentsBranch
99.2%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)))))))
99.2%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))))))
99.2%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)))))
99.2%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
99.2%2(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
99.2%2(pow.f64 (/.f64 t l) #s(literal 2 binary64))
99.2%2(/.f64 t l)
Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes38.0ms (0.4%)

Memory
-3.3MiB live, 75.7MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 l (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 #s(approx (* (* l l) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (* t t))) (/.f64 (*.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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
(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 t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.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 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc))))))
(asin.f64 (sqrt.f64 (/.f64 #s(approx (- 1 (pow (/ Om Omc) 2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))
Outputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc))))))
Calls

7 calls:

7.0ms
(/.f64 t l)
6.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
5.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
5.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
5.0ms
(*.f64 #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)

regimes35.0ms (0.3%)

Memory
-3.3MiB live, 73.8MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 l (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 #s(approx (* (* l l) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (* t t))) (/.f64 (*.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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
(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 t) (*.f64 l l)) #s(literal 2 binary64) #s(literal 1 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 t t))) #s(literal 1/2 binary64)))))
Outputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
Calls

7 calls:

6.0ms
(/.f64 t l)
6.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
5.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
4.0ms
(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
97.7%2(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
97.7%2(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
97.7%2(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
97.7%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
97.7%2(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
97.7%2(pow.f64 (/.f64 t l) #s(literal 2 binary64))
97.7%2(/.f64 t l)
Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes25.0ms (0.2%)

Memory
10.9MiB live, 50.0MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 l (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 #s(approx (* (* l l) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (* t t))) (/.f64 (*.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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc)))))))
Outputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
Calls

7 calls:

4.0ms
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
3.0ms
(/.f64 t l)
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)))))
3.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
3.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
Results
AccuracySegmentsBranch
94.5%2(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
94.5%2(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
94.5%2(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
94.5%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
94.5%2(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
94.5%2(pow.f64 (/.f64 t l) #s(literal 2 binary64))
94.5%2(/.f64 t l)
Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes25.0ms (0.3%)

Memory
-32.7MiB live, 47.4MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 l (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))))
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 #s(approx (* (* l l) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (* t t))) (/.f64 (*.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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))))
Outputs
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
Calls

7 calls:

5.0ms
(/.f64 t l)
5.0ms
(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)))))))
3.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
3.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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
92.3%2(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
92.3%2(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
92.3%2(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
92.3%2(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
92.3%2(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
92.3%2(pow.f64 (/.f64 t l) #s(literal 2 binary64))
92.3%2(/.f64 t l)
Compiler

Compiled 78 to 75 computations (3.8% saved)

regimes31.0ms (0.3%)

Memory
29.5MiB live, 68.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.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))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 l (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)))))
Outputs
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
Calls

14 calls:

3.0ms
t
2.0ms
Om
2.0ms
Omc
2.0ms
l
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
49.8%1Om
49.8%1(/.f64 Om Omc)
49.8%1(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
49.8%1(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
49.8%1Omc
49.8%1l
49.8%1t
49.8%1(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
49.8%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
49.8%1(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
49.8%1(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
49.8%1(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
49.8%1(pow.f64 (/.f64 t l) #s(literal 2 binary64))
49.8%1(/.f64 t l)
Compiler

Compiled 97 to 112 computations (-15.5% saved)

regimes17.0ms (0.2%)

Memory
6.8MiB live, 46.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

14 calls:

2.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
1.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))
1.0ms
(pow.f64 (/.f64 t l) #s(literal 2 binary64))
1.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
49.7%1Om
49.7%1(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))
49.7%1(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))
49.7%1(/.f64 Om Omc)
49.7%1t
49.7%1l
49.7%1Omc
49.7%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)))))))
49.7%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))))))
49.7%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)))))
49.7%1(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))
49.7%1(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))
49.7%1(pow.f64 (/.f64 t l) #s(literal 2 binary64))
49.7%1(/.f64 t l)
Compiler

Compiled 97 to 112 computations (-15.5% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.214658678885231e+101
3.468747792482324e+103
Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch5.0ms (0%)

Memory
-41.4MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.655049006289682e+137
1.7560607124326225e+139
Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.655049006289682e+137
1.7560607124326225e+139
Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0007554979169104419
3.7316667051138985
Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0007554979169104419
3.7316667051138985
Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0007554979169104419
3.7316667051138985
Compiler

Compiled 22 to 23 computations (-4.5% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0007554979169104419
3.7316667051138985
Compiler

Compiled 22 to 23 computations (-4.5% saved)

simplify58.0ms (0.6%)

Memory
21.6MiB live, 60.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0100586
1162586
2350585
31198585
45736585
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 t l) #s(literal 999999999999999977049513265245336628446842719924150006129995974731993452180789911303261294481511546880 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t)))))
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 (/.f64 t l) #s(literal 1152921504606847/1152921504606846976 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 (/.f64 Om Omc) Om) Omc))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))))
(if (<=.f64 (/.f64 t l) #s(literal 1152921504606847/1152921504606846976 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 (/.f64 Om Omc) Om) Omc))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 (/.f64 t l) #s(literal 1152921504606847/1152921504606846976 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 (/.f64 t l) #s(literal 1152921504606847/1152921504606846976 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))
Outputs
(if (<=.f64 (/.f64 t l) #s(literal 999999999999999977049513265245336628446842719924150006129995974731993452180789911303261294481511546880 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 Om Omc))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l t)))))
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 t l) (/.f64 l t))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (neg.f64 (/.f64 Om Omc)) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000006568312497840985215797402513271922339102462685251749401379757599108800263125545482536789900956864487115729698126842298368 binary64)) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 (neg.f64 Om) Omc) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 (/.f64 t l) #s(literal 1152921504606847/1152921504606846976 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 (/.f64 Om Omc) Om) Omc))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 Om Omc) Om) Omc)))))))
(if (<=.f64 (/.f64 t l) #s(literal 1152921504606847/1152921504606846976 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 (/.f64 Om Omc) Om) Omc))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 (/.f64 t l) #s(literal 1152921504606847/1152921504606846976 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 (/.f64 t l) #s(literal 1152921504606847/1152921504606846976 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 Om (/.f64 Om (*.f64 Omc Omc))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64)))))))
(if (<=.f64 (/.f64 t l) #s(literal 1152921504606847/1152921504606846976 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64)))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))))))
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (/ (* Om Om) (* Omc Omc))))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))))

soundness700.0ms (7%)

Memory
25.7MiB live, 731.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050394
082368
1299343
21887343
08281327
067496
0107439
1395439
22958439
08549424
01673
02673
110769
281953
0909153
03903487
013673339
04904264
017864087
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
unsound
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 435 to 750 computations (47.7% saved)

preprocess78.0ms (0.8%)

Memory
-18.5MiB live, 140.7MiB allocated
Remove

(abs Om)

(abs Omc)

Compiler

Compiled 1 944 to 702 computations (63.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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