
Time bar (total: 12.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 19.2% | 18.7% | 78.8% | 0.2% | 0% | 2.3% | 0% | 9 |
| 19.4% | 18.7% | 77.6% | 0.2% | 0% | 3.5% | 0% | 10 |
| 22.8% | 21.8% | 73.9% | 0.2% | 0% | 4.1% | 0% | 11 |
| 23.3% | 21.8% | 71.8% | 0.2% | 0% | 6.1% | 0% | 12 |
Compiled 21 to 18 computations (14.3% saved)
| 1.1s | 7 428× | 0 | invalid |
| 1.0s | 3 875× | 1 | valid |
| 614.0ms | 4 381× | 0 | valid |
ival-div: 664.0ms (32.2% of total)ival-pow2: 444.0ms (21.5% of total)ival-asin: 214.0ms (10.4% of total)ival-add: 214.0ms (10.4% of total)ival-sqrt: 140.0ms (6.8% of total)ival-mult: 136.0ms (6.6% of total)ival-sub: 120.0ms (5.8% of total)adjust: 93.0ms (4.5% of total)exact: 18.0ms (0.9% of total)ival-true: 13.0ms (0.6% of total)ival-assert: 7.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 37 | 0 | - | 2 | (-1.1629902892160991e+232 3.652837639207748e+76 -7.20887966857642e-283 -5.841860875709585e-72) | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 7 | 122 | (-9.117180828706584e-296 -3.254540921243475e+62 2.5315520070764594e+68 8.295957989233483e+158) | 0 | - | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 3 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | Om |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (/.f64 t l) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | Omc |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 Om Omc) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | l |
| 0 | 0 | - | 0 | - | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
asin.f64 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) | sensitivity | 129 | 1 |
sqrt.f64 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) | uflow-rescue | 35 | 0 |
| ↳ | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) | underflow | 65 | |
| ↳ | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) | underflow | 71 | |
| ↳ | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) | underflow | 30 | |
| ↳ | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) | underflow | 71 | |
| ↳ | (/.f64 t l) | underflow | 29 | |
| ↳ | (/.f64 Om Omc) | underflow | 53 | |
| ↳ | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | underflow | 127 | |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) | n/o | 3 | 0 |
| ↳ | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) | overflow | 68 | |
| ↳ | (/.f64 t l) | overflow | 32 | |
| ↳ | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) | overflow | 68 | |
| ↳ | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) | overflow | 68 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 45 | 0 |
| - | 122 | 89 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 45 | 0 | 0 |
| - | 122 | 1 | 88 |
| number | freq |
|---|---|
| 0 | 89 |
| 1 | 167 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 78.0ms | 246× | 1 | valid |
| 34.0ms | 266× | 0 | valid |
Compiled 320 to 68 computations (78.8% saved)
ival-pow2: 19.0ms (22.8% of total)ival-mult: 18.0ms (21.6% of total)ival-div: 17.0ms (20.4% of total)ival-asin: 9.0ms (10.8% of total)adjust: 7.0ms (8.4% of total)ival-sqrt: 5.0ms (6% of total)ival-sub: 4.0ms (4.8% of total)ival-add: 4.0ms (4.8% of total)ival-true: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 278 |
| 1 | 192 | 270 |
| 2 | 396 | 270 |
| 3 | 1045 | 270 |
| 4 | 3026 | 270 |
| 5 | 6156 | 270 |
| 0 | 16 | 19 |
| 0 | 26 | 19 |
| 1 | 37 | 19 |
| 2 | 61 | 19 |
| 3 | 126 | 19 |
| 4 | 266 | 19 |
| 5 | 569 | 19 |
| 6 | 1184 | 19 |
| 7 | 2910 | 19 |
| 8 | 5151 | 19 |
| 9 | 7414 | 19 |
| 0 | 8085 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(abs Omc)
(abs Om)
(abs l)
(abs t)
Compiled 19 to 16 computations (15.8% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.8% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
Compiled 19 to 16 computations (15.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) | |
| cost-diff | 1 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 99 |
| 0 | 26 | 99 |
| 1 | 37 | 99 |
| 2 | 61 | 99 |
| 3 | 126 | 99 |
| 4 | 266 | 99 |
| 5 | 569 | 99 |
| 6 | 1184 | 99 |
| 7 | 2910 | 99 |
| 8 | 5151 | 99 |
| 9 | 7414 | 99 |
| 0 | 8085 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
t |
l |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
t |
l |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.299823779305326 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | |
| accuracy | 0.48448652871076164 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) | |
| accuracy | 0.543433077576269 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) | |
| accuracy | 7.929192417250347 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 31.0ms | 123× | 1 | valid |
| 15.0ms | 133× | 0 | valid |
Compiled 200 to 34 computations (83% saved)
ival-div: 8.0ms (25.5% of total)ival-pow2: 7.0ms (22.3% of total)ival-asin: 4.0ms (12.8% of total)adjust: 3.0ms (9.6% of total)ival-sqrt: 3.0ms (9.6% of total)ival-sub: 2.0ms (6.4% of total)ival-add: 2.0ms (6.4% of total)ival-mult: 2.0ms (6.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| Outputs |
|---|
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(/ (pow Om 2) (pow Omc 2)) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | Om | @ | 0 | ((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2)) |
| 3.0ms | t | @ | inf | ((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2)) |
| 3.0ms | t | @ | 0 | ((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2)) |
| 3.0ms | Om | @ | inf | ((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2)) |
| 3.0ms | l | @ | 0 | ((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 390 | 3480 |
| 1 | 1207 | 2950 |
| 2 | 4656 | 2741 |
| 0 | 8195 | 2625 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(/ (pow Om 2) (pow Omc 2)) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(*.f64 (fma.f64 (neg.f64 t) (/.f64 t (*.f64 l l)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(fma.f64 (fma.f64 (neg.f64 t) (/.f64 t (*.f64 l l)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(fma.f64 (fma.f64 (neg.f64 t) (/.f64 t (*.f64 l l)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 l #s(literal 6 binary64))) #s(literal 8 binary64) (/.f64 (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))))) (*.f64 (neg.f64 l) l)))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 t t)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 l l)) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 l l)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))))) (*.f64 t t) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -8 binary64) (*.f64 t t)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 l #s(literal 6 binary64))))) (*.f64 t t) (*.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) |
(* 2 (/ (pow t 2) (pow l 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) l (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t)))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) (*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) l) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) l (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) (*.f64 (pow.f64 t #s(literal 4 binary64)) l)) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 l l)) (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (fma.f64 (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 l #s(literal 8 binary64)) #s(literal 1/16 binary64)) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) (*.f64 (pow.f64 t #s(literal 6 binary64)) l)))) (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) l (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 l #s(literal 4 binary64))) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) (*.f64 t t)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (pow.f64 t #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 l #s(literal 4 binary64))) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) (*.f64 t t)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
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(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
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(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
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(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 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 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
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(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
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(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
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(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
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(/ (pow Om 2) (pow Omc 2)) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) Om) (fma.f64 (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (+.f64 (fma.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))))) (fma.f64 (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 (*.f64 Omc Omc) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (*.f64 Om Om)) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (*.f64 (neg.f64 Om) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (neg.f64 Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(*.f64 (neg.f64 Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (+.f64 (fma.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))))) (fma.f64 (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (*.f64 Omc Omc) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (*.f64 Omc Omc) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 3 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (*.f64 Omc Omc) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (*.f64 (/.f64 Omc (pow.f64 Om #s(literal 5 binary64))) (/.f64 Omc (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 3 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))) (pow.f64 Omc #s(literal 4 binary64)))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 Omc Omc) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) (/.f64 (*.f64 Om Om) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (*.f64 Omc Omc)) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) (fma.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (pow.f64 Omc #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 68 |
| 0 | 26 | 68 |
| 1 | 100 | 68 |
| 2 | 734 | 68 |
| 3 | 7742 | 68 |
| 0 | 9001 | 64 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))) |
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(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)))) (/.f64 (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64))))) |
(-.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 Om Omc) (neg.f64 Omc)) (neg.f64 Om)) |
(*.f64 (*.f64 (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64)) (pow.f64 Omc #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 Om Omc) (sqrt.f64 (/.f64 Om Omc))) (sqrt.f64 (/.f64 Om Omc))) |
(*.f64 (/.f64 (/.f64 Om Omc) #s(literal 1 binary64)) (/.f64 Om Omc)) |
(*.f64 (/.f64 (neg.f64 Om) #s(literal -1 binary64)) (*.f64 (pow.f64 Omc #s(literal -2 binary64)) Om)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 Om Omc)) Omc) (/.f64 (sqrt.f64 (/.f64 Om Omc)) (pow.f64 Om #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 Om Omc) #s(literal -1 binary64)) (/.f64 (neg.f64 Om) Omc)) |
(*.f64 (pow.f64 (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64)) (pow.f64 Omc #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 Om Om) #s(literal 1 binary64)) (pow.f64 (pow.f64 Omc #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) (/.f64 #s(literal -1 binary64) Omc)) |
(*.f64 (*.f64 (pow.f64 Omc #s(literal -2 binary64)) Om) (/.f64 #s(literal 1 binary64) (pow.f64 Om #s(literal -1 binary64)))) |
(*.f64 (*.f64 (pow.f64 Omc #s(literal -2 binary64)) Om) Om) |
(*.f64 (*.f64 (/.f64 Om Omc) Om) (pow.f64 Omc #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 (/.f64 #s(literal -1 binary64) Omc) (pow.f64 Om #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 (neg.f64 Om) Omc)) |
(*.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Omc Om))) |
(*.f64 (sqrt.f64 (/.f64 Om Omc)) (*.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc))) |
(*.f64 (*.f64 (neg.f64 Om) Om) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Omc) Omc))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 Omc #s(literal -2 binary64)) (/.f64 Om (pow.f64 Om #s(literal -1 binary64)))) |
(*.f64 (pow.f64 Omc #s(literal -2 binary64)) (*.f64 Om Om)) |
(*.f64 (*.f64 Om Om) (*.f64 (pow.f64 Omc #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 Om Om) (*.f64 (/.f64 #s(literal -1 binary64) Omc) (/.f64 #s(literal -1 binary64) Omc))) |
(*.f64 (*.f64 Om Om) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) |
(*.f64 (*.f64 Om Om) (pow.f64 (/.f64 #s(literal -1 binary64) Omc) #s(literal 2 binary64))) |
(*.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal -2 binary64))) |
(*.f64 (pow.f64 Omc #s(literal -1 binary64)) (/.f64 (/.f64 Om Omc) (pow.f64 Om #s(literal -1 binary64)))) |
(*.f64 (pow.f64 Omc #s(literal -1 binary64)) (*.f64 (/.f64 Om Omc) Om)) |
(*.f64 (neg.f64 Om) (/.f64 (neg.f64 Om) (*.f64 Omc Omc))) |
(*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc))) |
(*.f64 (neg.f64 Om) (/.f64 (/.f64 #s(literal -1 binary64) Omc) (/.f64 Omc Om))) |
(*.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) (neg.f64 Omc))) |
(*.f64 (neg.f64 Om) (*.f64 (/.f64 #s(literal -1 binary64) Omc) (/.f64 Om Omc))) |
(*.f64 (neg.f64 Om) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 Omc Om) (neg.f64 Omc)))) |
(*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(*.f64 Om (/.f64 (neg.f64 Om) (*.f64 (neg.f64 Omc) Omc))) |
(*.f64 Om (/.f64 Om (*.f64 Omc Omc))) |
(*.f64 Om (*.f64 Om (pow.f64 Omc #s(literal -2 binary64)))) |
(*.f64 Om (*.f64 (*.f64 (pow.f64 Omc #s(literal -2 binary64)) Om) #s(literal 1 binary64))) |
(*.f64 Om (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 Omc Om) Omc))) |
(*.f64 Om (pow.f64 (*.f64 (pow.f64 Omc #s(literal -2 binary64)) Om) #s(literal 1 binary64))) |
(*.f64 Om (*.f64 (pow.f64 Omc #s(literal -2 binary64)) Om)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 Om Omc))) |
(pow.f64 (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 Omc Om) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) #s(literal -1 binary64)) Omc) |
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) #s(literal 1 binary64)) (neg.f64 Omc)) |
(/.f64 (*.f64 (*.f64 (neg.f64 Om) Om) #s(literal 1 binary64)) (*.f64 (neg.f64 Omc) Omc)) |
(/.f64 (*.f64 (*.f64 Om Om) #s(literal 1 binary64)) (*.f64 Omc Omc)) |
(/.f64 (*.f64 (*.f64 (/.f64 Om Omc) Om) #s(literal -1 binary64)) (neg.f64 Omc)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) Om)) (*.f64 (neg.f64 Omc) Omc)) |
(/.f64 (*.f64 (/.f64 Om Omc) #s(literal -1 binary64)) (/.f64 (neg.f64 Omc) Om)) |
(/.f64 (*.f64 (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64)) Omc) |
(/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) (neg.f64 Omc)) |
(/.f64 (*.f64 (pow.f64 Omc #s(literal -2 binary64)) Om) (pow.f64 Om #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc) |
(/.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 (neg.f64 Omc) Om)) |
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 (neg.f64 Omc) Omc)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 Omc Om) (/.f64 (neg.f64 Omc) Om))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)))) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(/.f64 (neg.f64 Om) (*.f64 (/.f64 Omc Om) (neg.f64 Omc))) |
(/.f64 (/.f64 Om Omc) (/.f64 Omc Om)) |
(/.f64 Om (neg.f64 (*.f64 (/.f64 Omc Om) (neg.f64 Omc)))) |
(/.f64 Om (*.f64 (/.f64 Omc Om) Omc)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 Omc) (*.f64 (/.f64 (neg.f64 Om) Omc) Om))) |
(/.f64 #s(literal 1 binary64) (/.f64 Omc (*.f64 (/.f64 Om Omc) Om))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 Omc) Omc) (*.f64 (neg.f64 Om) Om))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 Omc Omc) (*.f64 Om Om))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
Compiled 20 213 to 2 574 computations (87.3% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 522 | 17 | 539 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 523 | 17 | 540 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 51.6% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 65.2% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 65.2% | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 65.2% | (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))) | |
| 85.8% | (asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) | |
| ▶ | 85.9% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
| 84.0% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))) | |
| 52.2% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) | |
| 76.1% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) | |
| ▶ | 64.4% | (asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))) |
| ▶ | 48.6% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
| 75.1% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) | |
| 20.9% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) | |
| ▶ | 75.4% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) |
| 44.8% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) | |
| ▶ | 39.3% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))) |
Compiled 1 070 to 790 computations (26.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))) | |
| cost-diff | 2 | (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) | |
| cost-diff | 2 | (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) | |
| cost-diff | 2 | (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) | |
| cost-diff | 2 | (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) | |
| cost-diff | 2 | (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 771 |
| 0 | 120 | 752 |
| 1 | 205 | 731 |
| 2 | 419 | 731 |
| 3 | 1067 | 731 |
| 4 | 3512 | 731 |
| 5 | 6087 | 731 |
| 0 | 8103 | 714 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 2 binary64) |
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 t l) |
t |
l |
(*.f64 (/.f64 t l) #s(literal 2 binary64)) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) |
(neg.f64 Om) |
Om |
(/.f64 Om (*.f64 Omc Omc)) |
(*.f64 Omc Omc) |
Omc |
#s(literal 1 binary64) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) |
(/.f64 #s(literal 2 binary64) (*.f64 l l)) |
#s(literal 2 binary64) |
(*.f64 l l) |
l |
t |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) |
(neg.f64 Om) |
Om |
(/.f64 Om (*.f64 Omc Omc)) |
(*.f64 Omc Omc) |
Omc |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) |
(*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 l (pow.f64 t #s(literal 3 binary64))) |
l |
(pow.f64 t #s(literal 3 binary64)) |
t |
#s(literal 3 binary64) |
(/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1/8 binary64) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))) |
(sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
t |
l |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
(fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) |
#s(literal -4 binary64) |
(pow.f64 (/.f64 t l) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 2 binary64) |
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(/.f64 t l) |
t |
l |
(*.f64 (/.f64 t l) #s(literal 2 binary64)) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
(neg.f64 Om) |
Om |
(/.f64 Om (*.f64 Omc Omc)) |
(/.f64 (/.f64 Om Omc) Omc) |
(*.f64 Omc Omc) |
Omc |
#s(literal 1 binary64) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) |
(/.f64 #s(literal 2 binary64) (*.f64 l l)) |
#s(literal 2 binary64) |
(*.f64 l l) |
l |
t |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 l t) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) t) l) t) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 l t) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) t) l) t) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l) |
(*.f64 (/.f64 l t) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) t) l) t) #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
(neg.f64 Om) |
Om |
(/.f64 Om (*.f64 Omc Omc)) |
(/.f64 (/.f64 Om Omc) Omc) |
(*.f64 Omc Omc) |
Omc |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) |
(*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 l (pow.f64 t #s(literal 3 binary64))) |
l |
(pow.f64 t #s(literal 3 binary64)) |
t |
#s(literal 3 binary64) |
(/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal -1/8 binary64) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))))) |
(sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
t |
l |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
(fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) |
#s(literal -4 binary64) |
(pow.f64 (/.f64 t l) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.48448652871076164 | (asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))) | |
| accuracy | 0.5260082731921836 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) | |
| accuracy | 7.929192417250347 | (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))) | |
| accuracy | 21.301657966289646 | (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 3.6398157808679468 | (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) | |
| accuracy | 5.427776287969941 | (/.f64 l (pow.f64 t #s(literal 3 binary64))) | |
| accuracy | 8.599359349259078 | (/.f64 Om (*.f64 Omc Omc)) | |
| accuracy | 32.681089672622896 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)) | |
| accuracy | 0.547339327576269 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) | |
| accuracy | 1.7270308558775846 | (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) | |
| accuracy | 6.537354018285072 | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) | |
| accuracy | 7.929192417251478 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) | |
| accuracy | 0.48448652871076164 | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) | |
| accuracy | 7.929192417250347 | (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) | |
| accuracy | 8.599359349259078 | (/.f64 Om (*.f64 Omc Omc)) | |
| accuracy | 30.319736967302166 | #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) | |
| accuracy | 0.299823779305326 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | |
| accuracy | 0.48448652871076164 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) | |
| accuracy | 0.543433077576269 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 7.929192417250347 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
| 70.0ms | 40× | 2 | valid |
| 60.0ms | 133× | 0 | valid |
| 50.0ms | 20× | 3 | valid |
| 49.0ms | 54× | 1 | valid |
| 18.0ms | 9× | 4 | valid |
Compiled 1 431 to 138 computations (90.4% saved)
adjust: 37.0ms (20% of total)ival-mult: 37.0ms (20% of total)ival-div: 31.0ms (16.8% of total)ival-sqrt: 20.0ms (10.8% of total)ival-add: 18.0ms (9.7% of total)ival-asin: 18.0ms (9.7% of total)ival-pow2: 11.0ms (5.9% of total)ival-pow: 8.0ms (4.3% of total)ival-sub: 3.0ms (1.6% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l) |
(asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))) |
(sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om (*.f64 Omc Omc)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(/.f64 l (pow.f64 t #s(literal 3 binary64))) |
(*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 3)) |
(asin (sqrt (/ (* (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(- (+ 1 (* (pow t 2) (+ (* -2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2))) (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (+ (* -2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2))) (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4)))))))) (/ (pow Om 2) (pow Omc 2))) |
(+ 1 (* -2 (/ (pow t 2) (pow l 2)))) |
(+ 1 (* -1 (/ (pow t 2) (pow l 2)))) |
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2))))) |
(* 2 (/ t (pow l 2))) |
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2)))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2)))))) |
(/ l (pow t 3)) |
(/ (pow l 2) (* (pow t 3) (sqrt 1/2))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 4) (- (* 16 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 8))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 4) (- (* (pow t 4) (- (* 64 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 12))) (* -16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 8))))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4)))))) (/ (pow Om 2) (pow Omc 2))) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(asin (sqrt (/ (* (- 1 (* 2 (/ (pow t 2) (pow l 2)))) (- 1 (/ (pow Om 2) (pow Omc 2)))) (- 1 (* 4 (/ (pow t 4) (pow l 4))))))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 2)) |
(/ (- (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))) (pow t 2)) |
(* -2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (- (/ 1 (pow t 2)) (* 2 (/ 1 (pow l 2))))) |
(/ (* l (sqrt 1/2)) t) |
(/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t) |
(* 1/2 (/ (pow l 2) (pow t 2))) |
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2)) |
(* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) |
(/ (+ (* -1/4 (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))) (pow t 4)) |
(/ (- (+ (* -1/4 (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* -1/64 (/ (* (pow l 12) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8)))) (* 1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))) (pow t 4)) |
(/ (- (+ (* -1/4 (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* -1/256 (/ (* (pow l 16) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 12)))) (+ (* 1/64 (/ (* (pow l 12) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* 1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))) (pow t 4)) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (+ (* -1 (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (* l (sqrt 1/2)) t)) |
(* -1 (/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t)) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))))))) |
(/ (+ (* -2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(* l (+ (* (pow l 2) (- (* 1/2 (/ (* (pow l 2) (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(* l (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8)))))) (sqrt 1/2))) (* 1/2 (/ (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* -1/16 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))))) |
(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 4) (- (* -1/64 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 12))) (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))))))) |
(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 4) (- (* (pow l 4) (- (* -1/256 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 16))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 12))))) (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(- (+ 1 (+ (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (+ (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2)))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (+ (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))) (* -1/2 (/ (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4)))) (pow l 6)))))) |
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2)))) |
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2))))) |
(- (+ 1 (* 16 (/ (* (pow t 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 8)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* 64 (/ (* (pow t 12) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 12)))) (+ (* -16 (/ (* (pow t 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 8))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2))))) |
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) |
(/ (pow Om 2) (pow Omc 2)) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4)))))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6)))))))) |
(sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))))) |
(/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))) |
(+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (+ (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(/ Om (pow Omc 2)) |
(/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2)))) |
(/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(* Om (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))) |
(* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))) |
(* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/16 (* (/ (* (pow Omc 5) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))) |
(* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(* (pow Om 2) (+ (* -2 (/ (pow t 2) (* (pow Om 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (+ (* -1 (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (* (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (/ 1 (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/16 (* (/ (* (pow Omc 5) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* Om (sqrt -1)))) (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) Omc) |
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1))))))) Omc) |
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc) |
(/ (+ (* 1/2 (* (/ (* (pow Omc 2) (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (* (pow Omc 2) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (* 1/2 (* (/ (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (* 1/16 (* (/ (* (pow Omc 2) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5)))))))))) Omc) |
(/ (+ (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Omc 2) (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (pow Omc 2)) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (/ (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (pow Omc 2)) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | t | @ | inf | ((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (* (/ Om Omc) (/ Om Omc)) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (asin (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))))) (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1)))) (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))) (+ (* -2 (pow (/ t l) 2)) 1) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ l (pow t 3)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))) |
| 13.0ms | l | @ | inf | ((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (* (/ Om Omc) (/ Om Omc)) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (asin (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))))) (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1)))) (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))) (+ (* -2 (pow (/ t l) 2)) 1) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ l (pow t 3)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))) |
| 12.0ms | l | @ | 0 | ((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (* (/ Om Omc) (/ Om Omc)) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (asin (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))))) (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1)))) (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))) (+ (* -2 (pow (/ t l) 2)) 1) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ l (pow t 3)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))) |
| 10.0ms | Omc | @ | 0 | ((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (* (/ Om Omc) (/ Om Omc)) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (asin (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))))) (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1)))) (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))) (+ (* -2 (pow (/ t l) 2)) 1) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ l (pow t 3)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))) |
| 10.0ms | t | @ | 0 | ((+ (* (/ t l) (* (/ t l) 2)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (* (/ Om Omc) (/ Om Omc)) (+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (asin (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))))) (sqrt (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1)))) (* (+ (* -2 (pow (/ t l) 2)) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))) (+ (* -2 (pow (/ t l) 2)) 1) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ l (pow t 3)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* -4 (pow (/ t l) 4)) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 935 | 10012 |
| 1 | 3028 | 9240 |
| 0 | 9383 | 8742 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 3)) |
(asin (sqrt (/ (* (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(- (+ 1 (* (pow t 2) (+ (* -2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2))) (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (+ (* -2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2))) (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4)))))))) (/ (pow Om 2) (pow Omc 2))) |
(+ 1 (* -2 (/ (pow t 2) (pow l 2)))) |
(+ 1 (* -1 (/ (pow t 2) (pow l 2)))) |
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2))))) |
(* 2 (/ t (pow l 2))) |
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2)))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2)))))) |
(/ l (pow t 3)) |
(/ (pow l 2) (* (pow t 3) (sqrt 1/2))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 4) (- (* 16 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 8))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 4) (- (* (pow t 4) (- (* 64 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 12))) (* -16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 8))))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4)))))) (/ (pow Om 2) (pow Omc 2))) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(asin (sqrt (/ (* (- 1 (* 2 (/ (pow t 2) (pow l 2)))) (- 1 (/ (pow Om 2) (pow Omc 2)))) (- 1 (* 4 (/ (pow t 4) (pow l 4))))))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 2)) |
(/ (- (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))) (pow t 2)) |
(* -2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (- (/ 1 (pow t 2)) (* 2 (/ 1 (pow l 2))))) |
(/ (* l (sqrt 1/2)) t) |
(/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t) |
(* 1/2 (/ (pow l 2) (pow t 2))) |
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2)) |
(* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) |
(/ (+ (* -1/4 (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))) (pow t 4)) |
(/ (- (+ (* -1/4 (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* -1/64 (/ (* (pow l 12) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8)))) (* 1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4)))) (pow t 4)) |
(/ (- (+ (* -1/4 (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* -1/256 (/ (* (pow l 16) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 12)))) (+ (* 1/64 (/ (* (pow l 12) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* 1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))) (pow t 4)) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (+ (* -1 (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (* l (sqrt 1/2)) t)) |
(* -1 (/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t)) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))))))) |
(/ (+ (* -2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(* l (+ (* (pow l 2) (- (* 1/2 (/ (* (pow l 2) (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(* l (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8)))))) (sqrt 1/2))) (* 1/2 (/ (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* -1/16 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))))) |
(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 4) (- (* -1/64 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 12))) (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))))))) |
(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 4) (- (* (pow l 4) (- (* -1/256 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 16))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 12))))) (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(- (+ 1 (+ (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (+ (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2)))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (+ (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))) (* -1/2 (/ (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4)))) (pow l 6)))))) |
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2)))) |
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2))))) |
(- (+ 1 (* 16 (/ (* (pow t 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 8)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* 64 (/ (* (pow t 12) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 12)))) (+ (* -16 (/ (* (pow t 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 8))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2))))) |
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) |
(/ (pow Om 2) (pow Omc 2)) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4)))))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6)))))))) |
(sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))))) |
(/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))) |
(+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (+ (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(/ Om (pow Omc 2)) |
(/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2)))) |
(/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(* Om (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))) |
(* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))) |
(* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/16 (* (/ (* (pow Omc 5) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))) |
(* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(* (pow Om 2) (+ (* -2 (/ (pow t 2) (* (pow Om 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (+ (* -1 (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (* (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (/ 1 (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/16 (* (/ (* (pow Omc 5) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* Om (sqrt -1)))) (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) Omc) |
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1))))))) Omc) |
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc) |
(/ (+ (* 1/2 (* (/ (* (pow Omc 2) (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (* (pow Omc 2) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (* 1/2 (* (/ (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (* 1/16 (* (/ (* (pow Omc 2) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5)))))))))) Omc) |
(/ (+ (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Omc 2) (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (pow Omc 2)) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (/ (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (pow Omc 2)) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64)))))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 8 binary64) (/.f64 (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))))) (neg.f64 (*.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) (*.f64 t t) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) (*.f64 l l)) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) l) (*.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 t t)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64))) (*.f64 t t))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 3)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))) |
(asin (sqrt (/ (* (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(asin.f64 (sqrt.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))) |
(- (+ 1 (* (pow t 2) (+ (* -2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2))) (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(- (+ 1 (* (pow t 2) (+ (* -2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2))) (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4)))))))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) l) (*.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 t t)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64))) (*.f64 t t))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(+ 1 (* -2 (/ (pow t 2) (pow l 2)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (pow t 2) (pow l 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) |
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 l #s(literal 4 binary64))) #s(literal 3/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 l l))) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 l #s(literal 6 binary64))) #s(literal -5/2 binary64) (/.f64 #s(literal 3/2 binary64) (pow.f64 l #s(literal 4 binary64)))) (*.f64 t t) (/.f64 #s(literal -1 binary64) (*.f64 l l))) (*.f64 t t) #s(literal 1 binary64)) |
(* 2 (/ t (pow l 2))) |
(*.f64 (/.f64 t (*.f64 l l)) #s(literal 2 binary64)) |
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (*.f64 l l))) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 l #s(literal 6 binary64))) #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 l #s(literal 4 binary64)))) (*.f64 t t) (/.f64 #s(literal -2 binary64) (*.f64 l l))) (*.f64 t t) #s(literal 1 binary64)) |
(/ l (pow t 3)) |
(/.f64 l (pow.f64 t #s(literal 3 binary64))) |
(/ (pow l 2) (* (pow t 3) (sqrt 1/2))) |
(*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(- (+ 1 (* (pow t 4) (- (* 16 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 8))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4)))))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 8 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64))) (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(- (+ 1 (* (pow t 4) (- (* (pow t 4) (- (* 64 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 12))) (* -16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 8))))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4)))))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 12 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 8 binary64))) #s(literal 16 binary64))) (pow.f64 t #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64))) (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(* 2 (/ (pow t 2) (pow l 2))) |
(*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l)) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t t) #s(literal 1 binary64)) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 t t)) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.f64 l (pow.f64 t #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 t t)) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.f64 l (pow.f64 t #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 l l)) #s(literal 1/2 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 l #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.f64 l (pow.f64 t #s(literal 6 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 t t)) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))) |
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
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(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
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(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))))))) |
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))))))) |
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(* l (+ (* (pow l 2) (- (* 1/2 (/ (* (pow l 2) (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
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(* l (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8)))))) (sqrt 1/2))) (* 1/2 (/ (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
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(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2))))) |
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(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
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(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
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(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* -1/16 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))))) |
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(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 4) (- (* -1/64 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 12))) (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))))))) |
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(* (pow l 4) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 4) (- (* (pow l 4) (- (* -1/256 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 16))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 12))))) (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))))))) |
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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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(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))) |
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(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
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(/ (pow Om 2) (pow Omc 2)) |
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(fma.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))))) (*.f64 Om Om) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 Omc #s(literal 4 binary64)))))) (*.f64 Om Om) (*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 Omc Omc)) #s(literal -1/2 binary64))) (*.f64 Om Om) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) |
(+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (+ (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(/ Om (pow Omc 2)) |
(/.f64 Om (*.f64 Omc Omc)) |
(/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(/.f64 (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 Om Om)) |
(* -1 (/ (pow Om 2) (pow Omc 2))) |
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)) |
(/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc) |
(/.f64 (*.f64 (*.f64 Om (*.f64 l (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))) Om) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(* Om (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))) Om) |
(* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))))) Om) |
(* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/16 (* (/ (* (pow Omc 5) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))))) Om) |
(* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(*.f64 (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) |
(* (pow Om 2) (+ (* -2 (/ (pow t 2) (* (pow Om 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (+ (* -1 (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (* (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 Om Om)) (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (*.f64 Omc Omc)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))) (*.f64 Om Om)) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(/.f64 (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (/ 1 (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 Om Om)) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (*.f64 (neg.f64 Om) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (neg.f64 Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc)) |
(/.f64 (*.f64 (*.f64 Om (*.f64 l (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (neg.f64 Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))) |
(*.f64 (neg.f64 Om) (fma.f64 (*.f64 #s(literal 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))) |
(*.f64 (neg.f64 Om) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))) |
(*.f64 (neg.f64 Om) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) |
(*.f64 (*.f64 (neg.f64 Om) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(* -1 (* Om (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (* (pow Omc 3) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (+ (* 1/16 (* (/ (* (pow Omc 5) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5))))) (+ (* 1/2 (* (/ (* Omc (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Om 2) (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 5 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) Om (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Omc (sqrt.f64 #s(literal -1 binary64))) (/.f64 Omc Om))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 Omc (pow.f64 Om #s(literal 3 binary64))) (/.f64 Omc (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))))) (*.f64 Omc Omc))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 Omc (pow.f64 Om #s(literal 5 binary64))) (/.f64 Omc (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 Om #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))) Omc) Omc (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) #s(literal 1/2 binary64))) (*.f64 Omc Omc))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 Omc Omc) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))) (/.f64 (*.f64 Om Om) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 Omc Omc)) |
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2)) |
(/.f64 (fma.f64 (neg.f64 Om) Om (*.f64 Omc Omc)) (*.f64 Omc Omc)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* Om (sqrt -1)))) (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) Omc) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 Om (*.f64 l (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) Omc) |
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 l Om)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 Omc Omc) (*.f64 (*.f64 Om (*.f64 l (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) Omc) |
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (*.f64 Om l) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l) Om) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 Om #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 Om #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 Omc Omc))) (*.f64 Omc Omc))) Omc) |
(/ (+ (* 1/2 (* (/ (* (pow Omc 2) (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (*.f64 Omc Omc) #s(literal 1/2 binary64)) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (* (pow Omc 2) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2)) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (* 1/2 (* (/ (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 3 binary64))))) (/.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 Omc Omc)) (*.f64 (*.f64 (pow.f64 Om #s(literal 3 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)))) (*.f64 Omc Omc))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* Om (sqrt -1))) (sqrt (/ (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 3) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 3))))) (* 1/16 (* (/ (* (pow Omc 2) (pow (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) 3)) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ (pow (+ 1 (* -4 (/ (pow t 4) (pow l 4)))) 5) (pow (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) 5)))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 5 binary64))))) (/.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)) (*.f64 Omc Omc)) (*.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 3 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 Omc Omc) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)))) (*.f64 Omc Omc))) Omc) |
(/ (+ (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Omc 2) (+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (pow Omc 2)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 Omc Omc) (*.f64 (*.f64 (neg.f64 Om) Om) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))) (*.f64 Omc Omc)) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (/ (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (pow Omc 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 Omc Omc) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 Om Om) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 Omc Omc)) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (*.f64 l (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Omc #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 Om Om)) (*.f64 l (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (*.f64 l (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Omc #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 6 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l)))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))))) |
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 549 |
| 0 | 120 | 538 |
| 1 | 428 | 515 |
| 2 | 3226 | 515 |
| 0 | 9813 | 499 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l) |
(asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))) |
(sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om (*.f64 Omc Omc)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(/.f64 l (pow.f64 t #s(literal 3 binary64))) |
(*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #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))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t l))) (/.f64 t l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) t) (pow.f64 l #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 t #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 t t) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) (*.f64 (/.f64 t l) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) (/.f64 t l) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 t l) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 t l) (*.f64 #s(literal 2 binary64) (/.f64 t l)) #s(literal 1 binary64)) |
(fma.f64 t (*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 t l))) #s(literal 1 binary64)) |
(fma.f64 t (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 t (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) Omc)) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 Om Omc) Om))) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) Omc))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 Omc Omc))) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 Om Om))) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 Omc Omc)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) Omc)) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 Om Omc) Om))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) Omc))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 Omc Omc))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 Om Om))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (*.f64 Omc Omc)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -3 binary64)) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64))) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #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 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 8 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 8 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 12 binary64)) #s(literal -64 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 8 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 12 binary64)) #s(literal -64 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 8 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64)))) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))) |
Compiled 44 830 to 4 920 computations (89% saved)
24 alts after pruning (23 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 877 | 15 | 892 |
| Fresh | 4 | 8 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 885 | 24 | 909 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| ▶ | 51.6% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
| 65.2% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 52.2% | (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) | |
| 65.2% | (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))) | |
| 84.0% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))) | |
| 76.1% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) | |
| 64.4% | (asin.f64 (sqrt.f64 (*.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))) | |
| 51.0% | (asin.f64 (sqrt.f64 (*.f64 #s(approx (+ (* -2 (pow (/ t l) 2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 l l)) (*.f64 t t)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))) | |
| 73.4% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) | |
| 52.2% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) | |
| ✓ | 48.6% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
| 75.1% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) | |
| ▶ | 10.3% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
| 28.8% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) | |
| 48.3% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) | |
| ▶ | 85.5% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))) |
| ▶ | 83.0% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
| 75.4% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))))) | |
| ▶ | 48.0% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
| 50.0% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))))))) | |
| 44.8% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) | |
| 40.1% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) (*.f64 t t)) t) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))) | |
| 17.5% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))))) |
Compiled 1 897 to 1 308 computations (31% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (sqrt.f64 (PI.f64)) | |
| cost-diff | 4 | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) | |
| cost-diff | 2 | (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)) | |
| cost-diff | 2 | (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) | |
| cost-diff | 2 | (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) | |
| cost-diff | 2 | (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))) | |
| cost-diff | 2 | (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) | |
| cost-diff | 2 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 846 |
| 0 | 120 | 805 |
| 1 | 197 | 751 |
| 2 | 355 | 751 |
| 3 | 657 | 751 |
| 4 | 1395 | 751 |
| 5 | 2592 | 751 |
| 6 | 5161 | 751 |
| 7 | 7211 | 751 |
| 0 | 8116 | 751 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
t |
l |
#s(literal 2 binary64) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))) |
#s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))) |
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) |
(*.f64 (neg.f64 Om) Om) |
(neg.f64 Om) |
Om |
(*.f64 Omc Omc) |
Omc |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 1 binary64) |
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
l |
t |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) |
(*.f64 #s(literal 2 binary64) (/.f64 t l)) |
#s(literal 2 binary64) |
(/.f64 t l) |
t |
l |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
t |
l |
#s(literal -1 binary64) |
| Outputs |
|---|
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
t |
l |
#s(literal 2 binary64) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
#s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))) |
#s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) |
(neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
(*.f64 (neg.f64 Om) Om) |
(neg.f64 Om) |
Om |
(*.f64 Omc Omc) |
Omc |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) |
(*.f64 #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 1 binary64) |
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
l |
t |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) |
(*.f64 #s(literal 2 binary64) (/.f64 t l)) |
(*.f64 (/.f64 t l) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 t l) |
t |
l |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
t |
l |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 7.929192417250347 | (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) | |
| accuracy | 28.36390153003298 | (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) | |
| accuracy | 29.643539531830374 | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| accuracy | 0.48448652871076164 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) | |
| accuracy | 0.547339327576269 | (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))) | |
| accuracy | 1.7270308558775846 | (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)) | |
| accuracy | 7.929192417251478 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))) | |
| accuracy | 0.299823779305326 | (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) | |
| accuracy | 0.42578125 | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) | |
| accuracy | 0.48448652871076164 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) | |
| accuracy | 31.26926678084298 | #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) | |
| accuracy | 7.929192417250347 | (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))) | |
| accuracy | 17.793589271841395 | (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) | |
| accuracy | 30.319736967302166 | #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))) | |
| accuracy | 62.26490225534175 | #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))) | |
| accuracy | 0.299823779305326 | (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) | |
| accuracy | 0.3206209040525221 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.48448652871076164 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))) | |
| accuracy | 8.35924043083576 | (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
| 223.0ms | 156× | 1 | valid |
| 181.0ms | 93× | 2 | valid |
| 3.0ms | 7× | 0 | valid |
Compiled 1 470 to 145 computations (90.1% saved)
ival-mult: 116.0ms (35.3% of total)ival-add: 64.0ms (19.5% of total)ival-div: 50.0ms (15.2% of total)adjust: 27.0ms (8.2% of total)ival-sqrt: 23.0ms (7% of total)ival-pow2: 15.0ms (4.6% of total)ival-acos: 14.0ms (4.3% of total)ival-sub: 6.0ms (1.8% of total)ival-asin: 6.0ms (1.8% of total)ival-neg: 4.0ms (1.2% of total)ival-pi: 2.0ms (0.6% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))) |
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))) |
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 3/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))))) |
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* (pow t 2) (+ (* -5/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* 3/2 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))))))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(+ 1 (/ (pow t 2) (pow l 2))) |
(+ 1 (* (pow t 2) (+ (* -1/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2))))) |
(+ 1 (* (pow t 2) (+ (* (pow t 2) (- (* 1/2 (/ (pow t 2) (pow l 6))) (* 1/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2))))) |
(+ 1 (* -1 (/ (pow t 2) (pow l 2)))) |
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2))))) |
(+ 1 (* -2 (/ (pow t 2) (pow l 2)))) |
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2)))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2)))))) |
(acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2))))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow l 6) (pow (sqrt -1) 2)))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 6) (pow (sqrt -1) 4))))) (+ (* -8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 6))) (/ 1 (* (pow l 6) (pow (sqrt -1) 4)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/2 (* (/ (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1)))))))))) |
(/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(- (* 1/2 (PI)) (acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(/ (* t (sqrt 2)) l) |
(* t (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l))) |
(* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l)))) |
(* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/16 (/ (pow l 5) (* (pow t 6) (pow (sqrt 2) 5)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l))))) |
(/ (* l (sqrt 1/2)) t) |
(/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t) |
(* 1/2 (/ (pow l 2) (pow t 2))) |
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2)) |
(acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t) |
(* -1 (/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t)) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (* t (sqrt 2)) l)) |
(* -1 (* t (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l)))) |
(* -1 (* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l))))) |
(* -1 (* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/16 (/ (pow l 5) (* (pow t 6) (pow (sqrt 2) 5)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l)))))) |
(* -1 (/ (* l (sqrt 1/2)) t)) |
(* -1 (/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t)) |
(* -1 (* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(* -1 (/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t)) |
(* l (+ (* -1/8 (/ (* (pow l 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 3) (sqrt 1/2)))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8))))))) (sqrt 1/2))) (* 1/2 (/ (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(/ (+ (* 1/2 (/ (pow l 2) (* t (sqrt 2)))) (* t (sqrt 2))) l) |
(/ (+ (* t (sqrt 2)) (* (pow l 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (pow (sqrt 2) 3)))) (* 1/2 (/ 1 (* t (sqrt 2))))))) l) |
(/ (+ (* t (sqrt 2)) (* (pow l 2) (+ (* (pow l 2) (- (* 1/16 (/ (pow l 2) (* (pow t 5) (pow (sqrt 2) 5)))) (* 1/8 (/ 1 (* (pow t 3) (pow (sqrt 2) 3)))))) (* 1/2 (/ 1 (* t (sqrt 2))))))) l) |
(* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(* l (+ (* (pow l 2) (- (* 1/2 (/ (* (pow l 2) (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(* l (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8)))))) (sqrt 1/2))) (* 1/2 (/ (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(* l (sqrt 1/2)) |
(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(* (/ (* l (sqrt -1/2)) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(* l (+ (* 1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2)))) (* -1/16 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 8)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))))))))) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4))))) (pow l 6))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(+ 1 (+ (* -1/2 (/ (pow t 4) (pow l 4))) (/ (pow t 2) (pow l 2)))) |
(+ 1 (+ (* -1/2 (/ (pow t 4) (pow l 4))) (+ (* 1/2 (/ (pow t 6) (pow l 6))) (/ (pow t 2) (pow l 2))))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (+ (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))) (* -1/2 (/ (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4)))) (pow l 6)))))) |
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2)))) |
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2))))) |
(+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* -1 (/ (* (pow t 2) (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow l 6) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(/ (pow Om 2) (pow Omc 2)) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(* -1 (/ (pow Om 2) (pow Omc 2))) |
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) |
(* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/16 (* (/ (pow Om 2) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) |
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2)))) |
(* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))) |
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2)) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2)) |
(/ (+ (* -1/2 (* (/ (pow Omc 2) Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/8 (* (/ (pow Omc 2) (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/16 (* (/ (pow Omc 2) (pow Om 5)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/16 (* (/ (pow Om 6) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | l | @ | 0 | ((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* (neg Om) Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) |
| 6.0ms | t | @ | inf | ((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* (neg Om) Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) |
| 6.0ms | Om | @ | inf | ((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* (neg Om) Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) |
| 4.0ms | t | @ | 0 | ((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* (neg Om) Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) |
| 4.0ms | l | @ | inf | ((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (* (neg Om) Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 989 | 9001 |
| 1 | 3201 | 7888 |
| 0 | 8511 | 7413 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))) |
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 3/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))))) |
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* (pow t 2) (+ (* -5/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* 3/2 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))))))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(+ 1 (/ (pow t 2) (pow l 2))) |
(+ 1 (* (pow t 2) (+ (* -1/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2))))) |
(+ 1 (* (pow t 2) (+ (* (pow t 2) (- (* 1/2 (/ (pow t 2) (pow l 6))) (* 1/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2))))) |
(+ 1 (* -1 (/ (pow t 2) (pow l 2)))) |
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2))))) |
(+ 1 (* -2 (/ (pow t 2) (pow l 2)))) |
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2)))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2)))))) |
(acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2))))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow l 6) (pow (sqrt -1) 2)))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 6) (pow (sqrt -1) 4))))) (+ (* -8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 6))) (/ 1 (* (pow l 6) (pow (sqrt -1) 4)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/2 (* (/ (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1)))))))))) |
(/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(- (* 1/2 (PI)) (acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(/ (* t (sqrt 2)) l) |
(* t (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l))) |
(* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l)))) |
(* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/16 (/ (pow l 5) (* (pow t 6) (pow (sqrt 2) 5)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l))))) |
(/ (* l (sqrt 1/2)) t) |
(/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t) |
(* 1/2 (/ (pow l 2) (pow t 2))) |
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2)) |
(acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t) |
(* -1 (/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t)) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (* t (sqrt 2)) l)) |
(* -1 (* t (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l)))) |
(* -1 (* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l))))) |
(* -1 (* t (+ (* -1/8 (/ (pow l 3) (* (pow t 4) (pow (sqrt 2) 3)))) (+ (* 1/16 (/ (pow l 5) (* (pow t 6) (pow (sqrt 2) 5)))) (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l)))))) |
(* -1 (/ (* l (sqrt 1/2)) t)) |
(* -1 (/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t)) |
(* -1 (* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(* -1 (/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t)) |
(* l (+ (* -1/8 (/ (* (pow l 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 3) (sqrt 1/2)))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8))))))) (sqrt 1/2))) (* 1/2 (/ (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(/ (+ (* 1/2 (/ (pow l 2) (* t (sqrt 2)))) (* t (sqrt 2))) l) |
(/ (+ (* t (sqrt 2)) (* (pow l 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (pow (sqrt 2) 3)))) (* 1/2 (/ 1 (* t (sqrt 2))))))) l) |
(/ (+ (* t (sqrt 2)) (* (pow l 2) (+ (* (pow l 2) (- (* 1/16 (/ (pow l 2) (* (pow t 5) (pow (sqrt 2) 5)))) (* 1/8 (/ 1 (* (pow t 3) (pow (sqrt 2) 3)))))) (* 1/2 (/ 1 (* t (sqrt 2))))))) l) |
(* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(* l (+ (* (pow l 2) (- (* 1/2 (/ (* (pow l 2) (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(* l (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8)))))) (sqrt 1/2))) (* 1/2 (/ (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(* l (sqrt 1/2)) |
(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(* (/ (* l (sqrt -1/2)) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(* l (+ (* 1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2)))) (* -1/16 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 8)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))))))))) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4))))) (pow l 6))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(+ 1 (+ (* -1/2 (/ (pow t 4) (pow l 4))) (/ (pow t 2) (pow l 2)))) |
(+ 1 (+ (* -1/2 (/ (pow t 4) (pow l 4))) (+ (* 1/2 (/ (pow t 6) (pow l 6))) (/ (pow t 2) (pow l 2))))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (+ (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))) (* -1/2 (/ (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4)))) (pow l 6)))))) |
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2)))) |
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2))))) |
(+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* -1 (/ (* (pow t 2) (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow l 6) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(/ (pow Om 2) (pow Omc 2)) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(* -1 (/ (pow Om 2) (pow Omc 2))) |
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) |
(* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/16 (* (/ (pow Om 2) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) |
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2)))) |
(* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))) |
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2)) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2)) |
(/ (+ (* -1/2 (* (/ (pow Omc 2) Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/8 (* (/ (pow Omc 2) (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/16 (* (/ (pow Omc 2) (pow Om 5)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/16 (* (/ (pow Om 6) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
| Outputs |
|---|
(+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))) |
(fma.f64 (*.f64 (neg.f64 t) t) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 l l)) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 3/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal 3/2 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (neg.f64 (*.f64 l l)))) (*.f64 t t) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* (pow t 2) (+ (* -5/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* 3/2 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/2 binary64) (*.f64 t t)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (pow.f64 l #s(literal 6 binary64))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 3/2 binary64))) (*.f64 t t) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (neg.f64 (*.f64 l l)))) (*.f64 t t) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (-.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64)))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 8 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64))) (neg.f64 (*.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) (*.f64 t t) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) (*.f64 l l)) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
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(- (+ 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))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)) |
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
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(+ 1 (/ (pow t 2) (pow l 2))) |
(fma.f64 (/.f64 t l) (/.f64 t l) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ (* -1/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2))))) |
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(+ 1 (* -1 (/ (pow t 2) (pow l 2)))) |
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(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2))))) |
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(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2)))))) |
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(acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
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(* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
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(/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t) |
(/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))) t) |
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t) |
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(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 6 binary64)))) (*.f64 l (pow.f64 t #s(literal 4 binary64)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 l l)) (/.f64 (fma.f64 (/.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 l #s(literal 8 binary64)) #s(literal 1/16 binary64))) (*.f64 l (pow.f64 t #s(literal 6 binary64)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) t) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) 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) |
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(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
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(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8))))))) (sqrt 1/2))) (* 1/2 (/ (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 t (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (*.f64 t t)) (/.f64 #s(literal 1/16 binary64) (pow.f64 t #s(literal 8 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 l l) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (fma.f64 #s(literal 1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/8 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.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 Omc) (/.f64 Om Omc)))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (fma.f64 t (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 l l) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/8 binary64))) (*.f64 t t)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 8 binary64))) #s(literal 1/16 binary64))) t) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.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 Omc) (/.f64 Om Omc)))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) (pow.f64 t #s(literal 4 binary64))) #s(literal -1/4 binary64))) (*.f64 l l)) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) t) (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 4 binary64))) #s(literal -1/4 binary64))) (*.f64 l l))) (*.f64 l l)) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 8 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal 1/8 binary64))) (*.f64 l l) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 4 binary64))) #s(literal -1/4 binary64))) (*.f64 l l) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) #s(literal 1/2 binary64))) (*.f64 l l)) |
(/ (+ (* 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)) |
(/ (+ (* 1/2 (/ (pow l 2) (* t (sqrt 2)))) (* t (sqrt 2))) l) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 l l) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l) |
(/ (+ (* t (sqrt 2)) (* (pow l 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (pow (sqrt 2) 3)))) (* 1/2 (/ 1 (* t (sqrt 2))))))) l) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (*.f64 l l) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l) |
(/ (+ (* t (sqrt 2)) (* (pow l 2) (+ (* (pow l 2) (- (* 1/16 (/ (pow l 2) (* (pow t 5) (pow (sqrt 2) 5)))) (* 1/8 (/ 1 (* (pow t 3) (pow (sqrt 2) 3)))))) (* 1/2 (/ 1 (* t (sqrt 2))))))) l) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 t #s(literal 5 binary64))) (/.f64 (*.f64 l l) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 l l) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (*.f64 l l) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l) |
(* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l) |
(* l (+ (* (pow l 2) (- (* 1/2 (/ (* (pow l 2) (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(* l (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8)))))) (sqrt 1/2))) (* 1/2 (/ (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (*.f64 t t)) (/.f64 #s(literal 1/16 binary64) (pow.f64 t #s(literal 8 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (*.f64 l l) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(* l (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 l l) (pow.f64 t #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 l l)) |
(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 l l) (pow.f64 t #s(literal 6 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 t #s(literal 4 binary64)))) (*.f64 l l) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 l l)) |
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 l l) (pow.f64 t #s(literal 8 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64)))) (*.f64 l l) (/.f64 #s(literal -1/4 binary64) (pow.f64 t #s(literal 4 binary64)))) (*.f64 l l) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 l l)) |
(* (/ (* l (sqrt -1/2)) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))) |
(* l (+ (* 1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 l (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) t))) l) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))))) |
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(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2)))) (* -1/16 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 8)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))))))))) |
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(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) |
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(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4))))) (pow l 6))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) |
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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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(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2)))) |
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(+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
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(+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* -1 (/ (* (pow t 2) (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow l 6) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
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(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
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(/ (pow Om 2) (pow Omc 2)) |
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(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
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(* -1 (/ (pow Om 2) (pow Omc 2))) |
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(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) |
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(+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 Om (*.f64 Omc Omc))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 Om (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 Om (pow.f64 Omc #s(literal 4 binary64))))))) (*.f64 Om Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/16 (* (/ (pow Om 2) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 Om (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 Om (pow.f64 Omc #s(literal 6 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))) Om) Om (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) Omc)) #s(literal 1/2 binary64))) (*.f64 Om Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))) |
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (/.f64 #s(literal 1 binary64) (*.f64 Om Om)))) (*.f64 Om Om)) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(/.f64 (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 Om Om)) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)) |
(* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (/.f64 Om Omc)) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc))) Om) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Omc)) Om) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc)))) Om) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (*.f64 (neg.f64 Om) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (neg.f64 Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))) |
(* -1 (* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(*.f64 (neg.f64 (/.f64 Om Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(*.f64 (neg.f64 Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc)))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Omc))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc))))) |
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 Omc Omc (*.f64 #s(literal -1/2 binary64) (*.f64 Om Om)))) (*.f64 Omc Omc)) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) Om (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Omc (sqrt.f64 #s(literal -1 binary64))) (/.f64 Omc Om))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 Omc (pow.f64 Om #s(literal 3 binary64))) (/.f64 Omc (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))))) (*.f64 Omc Omc))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 Omc (pow.f64 Om #s(literal 5 binary64))) (/.f64 Omc (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 Om #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))) Omc) Omc (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) #s(literal 1/2 binary64))) (*.f64 Omc Omc))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 Omc Omc) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) (/.f64 (*.f64 Om Om) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 Omc Omc)) |
(/ (+ (* -1 (pow Om 2)) (pow Omc 2)) (pow Omc 2)) |
(/.f64 (fma.f64 (neg.f64 Om) Om (*.f64 Omc Omc)) (*.f64 Omc Omc)) |
(/ (+ (* -1/2 (* (/ (pow Omc 2) Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) Omc) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Omc Omc) Om) Om)) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/8 (* (/ (pow Omc 2) (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Omc Omc) (pow.f64 Om #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) Om)))) (*.f64 Omc Omc) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Om)) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/16 (* (/ (pow Omc 2) (pow Om 5)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 Omc Omc) (pow.f64 Om #s(literal 5 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 Om #s(literal 3 binary64)))))) (*.f64 Omc Omc) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Om) #s(literal -1/2 binary64))) (*.f64 Omc Omc) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Om)) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 Om (*.f64 Omc Omc))) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/16 (* (/ (pow Om 6) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 Om (*.f64 Omc Omc))) (sqrt.f64 #s(literal -1 binary64))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 623 |
| 0 | 120 | 576 |
| 1 | 436 | 528 |
| 2 | 3348 | 528 |
| 0 | 8342 | 528 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc))) |
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))) |
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(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) (pow.f64 Omc #s(literal -1 binary64))) |
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(*.f64 (pow.f64 Omc #s(literal -2 binary64)) (*.f64 (neg.f64 Om) Om)) |
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(*.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 Om Omc)) |
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(*.f64 (/.f64 (/.f64 Om Omc) Omc) (*.f64 (neg.f64 Om) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om)) |
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(*.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc)) |
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(*.f64 (/.f64 Om Omc) (/.f64 (neg.f64 Om) Omc)) |
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(*.f64 Om (*.f64 (neg.f64 Om) (pow.f64 Omc #s(literal -2 binary64)))) |
(*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc))) |
(*.f64 Om (neg.f64 (/.f64 (/.f64 Om Omc) Omc))) |
(pow.f64 (/.f64 Omc (*.f64 Om (/.f64 (neg.f64 Om) Omc))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 Omc (neg.f64 Om)) (/.f64 Omc Om)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 Omc (neg.f64 Om)) (/.f64 Omc Om)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) (neg.f64 Om))) (neg.f64 (neg.f64 Omc))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) #s(literal 1 binary64))) (neg.f64 (/.f64 Omc Om))) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 Om (/.f64 (neg.f64 Om) Omc)))) (neg.f64 (neg.f64 Omc))) |
(/.f64 (neg.f64 (*.f64 (*.f64 Om (/.f64 (neg.f64 Om) Omc)) #s(literal 1 binary64))) (neg.f64 Omc)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 Om) Om) #s(literal 1 binary64))) (*.f64 (neg.f64 Omc) Omc)) |
(/.f64 (neg.f64 (*.f64 (*.f64 Om Om) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 Omc) Omc))) |
(/.f64 (neg.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om))) (neg.f64 Omc)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 Om))) (neg.f64 (/.f64 (*.f64 Omc Omc) Om))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 Om) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 Omc Omc) Om))) |
(/.f64 (*.f64 (*.f64 Om Om) #s(literal 1 binary64)) (*.f64 (neg.f64 Omc) Omc)) |
(/.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om)) Omc) |
(/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) (neg.f64 Om)) (neg.f64 Omc)) |
(/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) #s(literal 1 binary64)) (/.f64 Omc Om)) |
(/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc) |
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(/.f64 (*.f64 (*.f64 Om (/.f64 (neg.f64 Om) Omc)) #s(literal 1 binary64)) Omc) |
(/.f64 (*.f64 (*.f64 (neg.f64 Om) Om) #s(literal 1 binary64)) (*.f64 Omc Omc)) |
(/.f64 (*.f64 (neg.f64 Om) #s(literal 1 binary64)) (/.f64 (*.f64 Omc Omc) Om)) |
(/.f64 (*.f64 Om (/.f64 (neg.f64 Om) Omc)) (neg.f64 (neg.f64 Omc))) |
(/.f64 (*.f64 Om (/.f64 (neg.f64 Om) Omc)) Omc) |
(/.f64 (*.f64 (/.f64 Om Omc) Om) (neg.f64 Omc)) |
(/.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 Omc Om)) |
(/.f64 (*.f64 Om Om) (neg.f64 (neg.f64 (*.f64 (neg.f64 Omc) Omc)))) |
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(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
Compiled 52 059 to 4 926 computations (90.5% saved)
28 alts after pruning (24 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 989 | 12 | 1 001 |
| Fresh | 6 | 12 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 997 | 28 | 1 025 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 50.5% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 52.9% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))))) | |
| ✓ | 51.6% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
| 49.2% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) | |
| 65.2% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 52.2% | (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) | |
| 51.0% | (asin.f64 (sqrt.f64 (*.f64 #s(approx (+ (* -2 (pow (/ t l) 2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 l l)) (*.f64 t t)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))) | |
| 73.4% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) | |
| 52.2% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) | |
| ✓ | 48.6% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
| ▶ | 75.1% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
| 9.4% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc))))) | |
| ✓ | 10.3% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
| 28.8% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) | |
| 10.2% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc))))))) | |
| 48.3% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) | |
| ▶ | 73.3% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
| ▶ | 42.2% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
| 64.9% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (fma.f64 (/.f64 t l) (/.f64 t l) #s(literal 1 binary64))))))) | |
| 47.7% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))))) | |
| 47.3% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (*.f64 (fma.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t)))))) | |
| 50.0% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))))))) | |
| ✓ | 48.0% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
| 44.8% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) | |
| 40.1% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) (*.f64 t t)) t) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))) | |
| ▶ | 50.2% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
| ▶ | 17.5% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))))) |
Compiled 2 294 to 1 561 computations (32% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))))) | |
| cost-diff | 2 | (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) | |
| cost-diff | 2 | (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)) | |
| cost-diff | 2 | (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) | |
| cost-diff | 2 | (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) | |
| cost-diff | 0 | #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) | |
| cost-diff | 2 | (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) | |
| cost-diff | 2 | (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 1059 |
| 0 | 149 | 1009 |
| 1 | 270 | 976 |
| 2 | 554 | 976 |
| 3 | 1329 | 976 |
| 4 | 3469 | 976 |
| 5 | 4144 | 976 |
| 6 | 5314 | 976 |
| 7 | 6405 | 976 |
| 8 | 7187 | 976 |
| 0 | 8115 | 944 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) |
(/.f64 #s(literal 2 binary64) (*.f64 l l)) |
#s(literal 2 binary64) |
(*.f64 l l) |
l |
t |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/2 binary64) Omc) |
#s(literal -1/2 binary64) |
Omc |
(/.f64 (*.f64 Om Om) Omc) |
(*.f64 Om Om) |
Om |
#s(literal 1 binary64) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(*.f64 Om Om) |
Om |
(*.f64 Omc Omc) |
Omc |
#s(literal 1 binary64) |
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
l |
t |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(*.f64 Om Om) |
Om |
(*.f64 Omc Omc) |
Omc |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) |
(*.f64 #s(literal 2 binary64) (/.f64 t l)) |
#s(literal 2 binary64) |
(/.f64 t l) |
t |
l |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))) |
#s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/.f64 Om Omc) |
Om |
Omc |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
t |
l |
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(literal -1/8 binary64) |
(/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(pow.f64 l #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 t #s(literal 3 binary64)) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) |
(/.f64 #s(literal 2 binary64) (*.f64 l l)) |
#s(literal 2 binary64) |
(*.f64 l l) |
l |
t |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/2 binary64) Omc) |
#s(literal -1/2 binary64) |
Omc |
(/.f64 (*.f64 Om Om) Omc) |
(*.f64 Om Om) |
Om |
#s(literal 1 binary64) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) |
(*.f64 #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(*.f64 Om Om) |
Om |
(*.f64 Omc Omc) |
Omc |
#s(literal 1 binary64) |
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
l |
t |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(*.f64 Om Om) |
Om |
(*.f64 Omc Omc) |
Omc |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) |
(*.f64 #s(literal 2 binary64) (/.f64 t l)) |
(*.f64 (/.f64 t l) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 t l) |
t |
l |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 t #s(literal 3 binary64))) (*.f64 l (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 t #s(literal 3 binary64))) (*.f64 l (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t)))))) |
#s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))) |
#s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 t #s(literal 3 binary64))) (*.f64 l (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 t #s(literal 3 binary64))) (*.f64 l (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 l (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(*.f64 l (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
t |
l |
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 l #s(literal 3 binary64))) |
#s(literal -1/8 binary64) |
(/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(pow.f64 l #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 t #s(literal 3 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.48448652871076164 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))))) | |
| accuracy | 7.72905270737096 | (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) | |
| accuracy | 23.64967739596069 | (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))) | |
| accuracy | 32.681089672622896 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))) | |
| accuracy | 0.547339327576269 | (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))) | |
| accuracy | 1.7270308558775846 | (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)) | |
| accuracy | 7.929192417251478 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))) | |
| accuracy | 17.678818792046027 | (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) | |
| accuracy | 0.42578125 | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) | |
| accuracy | 0.48448652871076164 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) | |
| accuracy | 17.678818792046027 | (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) | |
| accuracy | 31.26926678084298 | #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) | |
| accuracy | 0.15499529734132061 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))) | |
| accuracy | 0.48448652871076164 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) | |
| accuracy | 6.108638428831094 | (/.f64 (*.f64 Om Om) Omc) | |
| accuracy | 30.027621460734302 | #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) | |
| accuracy | 0.547339327576269 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) | |
| accuracy | 1.7270308558775846 | (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) | |
| accuracy | 6.537354018285072 | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) | |
| accuracy | 7.929192417250347 | (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
| 139.0ms | 123× | 1 | valid |
| 108.0ms | 133× | 0 | valid |
Compiled 1 730 to 188 computations (89.1% saved)
ival-mult: 90.0ms (44.7% of total)ival-div: 41.0ms (20.3% of total)ival-sqrt: 15.0ms (7.4% of total)adjust: 14.0ms (6.9% of total)ival-add: 14.0ms (6.9% of total)ival-pow: 8.0ms (4% of total)ival-pow2: 7.0ms (3.5% of total)ival-asin: 5.0ms (2.5% of total)ival-sub: 4.0ms (2% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))) |
#s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(/.f64 (*.f64 Om Om) Omc) |
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
| Outputs |
|---|
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))) |
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 3/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))))) |
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* (pow t 2) (+ (* -5/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* 3/2 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))))))) |
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 3)) |
(* 2 (/ t (pow l 2))) |
(+ 1 (* -2 (/ (pow t 2) (pow l 2)))) |
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2)))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2)))))) |
(+ 1 (* -1 (/ (pow t 2) (pow l 2)))) |
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2))))) |
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 3)) |
(* -1/8 (/ (pow l 3) (sqrt 1/2))) |
(+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(* 1/2 (/ (pow l 2) (pow t 2))) |
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2)) |
(/ (* l (sqrt 1/2)) t) |
(/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t) |
(* l (* (pow t 2) (sqrt 1/2))) |
(* (pow t 2) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t)) |
(* -1 (/ (+ (* -1 (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (* l (sqrt 1/2)) t)) |
(* -1 (/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t)) |
(* -1 (/ (+ (* -1 (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* l (+ (* -1/8 (/ (* (pow l 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 3) (sqrt 1/2)))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8))))))) (sqrt 1/2))) (* 1/2 (/ (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(* l (+ (* (pow l 2) (- (* 1/2 (/ (* (pow l 2) (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(* l (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8)))))) (sqrt 1/2))) (* 1/2 (/ (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(* l (sqrt 1/2)) |
(* l (+ (* -1/8 (/ (pow l 2) (sqrt 1/2))) (* (pow t 2) (sqrt 1/2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4))))) (pow l 6))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) |
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2)))) |
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2))))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (+ (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))) (* -1/2 (/ (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4)))) (pow l 6)))))) |
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* (pow l 3) (- (/ (* (pow t 2) (sqrt 1/2)) (pow l 2)) (* 1/8 (/ 1 (sqrt 1/2))))) |
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (* (pow t 2) (sqrt 1/2)) (pow l 2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(/ (pow Om 2) (pow Omc 2)) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4)))))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6)))))))) |
(/ (pow Om 2) Omc) |
(/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (pow t 3)) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (/ (* l (sqrt 1/2)) t))) |
(+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 2) (pow t 3)))) (* -1/8 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))))) (/ (* l (sqrt 1/2)) t))) |
(+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 2) (pow t 3)))) (* (pow Om 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 4) (pow t 3)))) (* -1/16 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 6) (pow t 3)))))))) (/ (* l (sqrt 1/2)) t))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1/2 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (* 1/2 (/ 1 (pow Omc 2))))) |
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))) |
(/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (* Omc (pow t 3))) |
(* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 6) (* (pow t 3) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))) |
(* -1 (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (* Omc (pow t 3)))) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 6) (* (pow t 3) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/ (+ (* -1/2 (pow Om 2)) (pow Omc 2)) (pow Omc 2)) |
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* Om (sqrt -1)))) (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) Omc) |
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1))))))) Omc) |
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Om (* (pow t 3) (sqrt -1))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc) |
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 3) (* (pow t 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* Om (* (pow t 3) (sqrt -1))))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc) |
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* Om (* (pow t 3) (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Om 3) (* (pow t 3) (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 5) (* (pow t 3) (pow (sqrt -1) 5))))))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (/ (* l (sqrt 1/2)) t)))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 6) (pow t 3)))) (/ (* l (sqrt 1/2)) t))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | l | @ | inf | ((+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (/ (* Om Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (/ (* Om Om) (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ (* Om Om) Omc) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (/ (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2))))) (pow t 3)) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2))))) |
| 8.0ms | l | @ | 0 | ((+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (/ (* Om Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (/ (* Om Om) (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ (* Om Om) Omc) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (/ (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2))))) (pow t 3)) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2))))) |
| 8.0ms | l | @ | -inf | ((+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (/ (* Om Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (/ (* Om Om) (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ (* Om Om) Omc) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (/ (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2))))) (pow t 3)) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2))))) |
| 5.0ms | Omc | @ | 0 | ((+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (/ (* Om Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (/ (* Om Om) (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ (* Om Om) Omc) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (/ (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2))))) (pow t 3)) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2))))) |
| 5.0ms | t | @ | 0 | ((+ (* (* (/ 2 (* l l)) t) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (/ (* Om Om) (* Omc Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (+ (* -1/2 (/ (* Om Om) (* Omc Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (+ (* (/ (* 2 (/ t l)) l) t) 1) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ Om Omc) (/ Om Omc)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (/ 2 (* l l)) t) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (/ (* Om Om) Omc) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (* (sqrt 1/2) l) (sqrt (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1))) (/ 1 (+ (* (/ (* 2 (/ t l)) l) t) 1)) (/ (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2))))) (pow t 3)) (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 907 | 9041 |
| 1 | 3116 | 8305 |
| 0 | 8454 | 7877 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))) |
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 3/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))))) |
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* (pow t 2) (+ (* -5/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* 3/2 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))))))) |
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 3)) |
(* 2 (/ t (pow l 2))) |
(+ 1 (* -2 (/ (pow t 2) (pow l 2)))) |
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2)))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2)))))) |
(+ 1 (* -1 (/ (pow t 2) (pow l 2)))) |
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2))))) |
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 3)) |
(* -1/8 (/ (pow l 3) (sqrt 1/2))) |
(+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(* 1/2 (/ (pow l 2) (pow t 2))) |
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2)) |
(/ (* l (sqrt 1/2)) t) |
(/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t) |
(* l (* (pow t 2) (sqrt 1/2))) |
(* (pow t 2) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t)) |
(* -1 (/ (+ (* -1 (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (* l (sqrt 1/2)) t)) |
(* -1 (/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t)) |
(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t)) |
(* -1 (/ (+ (* -1 (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* l (+ (* -1/8 (/ (* (pow l 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 3) (sqrt 1/2)))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8))))))) (sqrt 1/2))) (* 1/2 (/ (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(* l (+ (* (pow l 2) (- (* 1/2 (/ (* (pow l 2) (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(* l (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8)))))) (sqrt 1/2))) (* 1/2 (/ (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(* l (sqrt 1/2)) |
(* l (+ (* -1/8 (/ (pow l 2) (sqrt 1/2))) (* (pow t 2) (sqrt 1/2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4))))) (pow l 6))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) |
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2)))) |
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2))))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (+ (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))) (* -1/2 (/ (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4)))) (pow l 6)))))) |
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* (pow l 3) (- (/ (* (pow t 2) (sqrt 1/2)) (pow l 2)) (* 1/8 (/ 1 (sqrt 1/2))))) |
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (* (pow t 2) (sqrt 1/2)) (pow l 2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(/ (pow Om 2) (pow Omc 2)) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4)))))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6)))))))) |
(/ (pow Om 2) Omc) |
(/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (pow t 3)) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (/ (* l (sqrt 1/2)) t))) |
(+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 2) (pow t 3)))) (* -1/8 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))))) (/ (* l (sqrt 1/2)) t))) |
(+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 2) (pow t 3)))) (* (pow Om 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 4) (pow t 3)))) (* -1/16 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 6) (pow t 3)))))))) (/ (* l (sqrt 1/2)) t))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1/2 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (* 1/2 (/ 1 (pow Omc 2))))) |
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))) |
(/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (* Omc (pow t 3))) |
(* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 6) (* (pow t 3) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))) |
(* -1 (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (* Omc (pow t 3)))) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 6) (* (pow t 3) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/ (+ (* -1/2 (pow Om 2)) (pow Omc 2)) (pow Omc 2)) |
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* Om (sqrt -1)))) (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) Omc) |
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1))))))) Omc) |
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Om (* (pow t 3) (sqrt -1))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc) |
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 3) (* (pow t 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* Om (* (pow t 3) (sqrt -1))))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc) |
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* Om (* (pow t 3) (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Om 3) (* (pow t 3) (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 5) (* (pow t 3) (pow (sqrt -1) 5))))))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (/ (* l (sqrt 1/2)) t)))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 6) (pow t 3)))) (/ (* l (sqrt 1/2)) t))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))))) (*.f64 t t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 8 binary64) (/.f64 (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))))) (neg.f64 (*.f64 l l)))) (*.f64 t t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64)))))) #s(literal 1/2 binary64))) (*.f64 t t) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) (*.f64 l l)) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64)))) #s(literal -8 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64))) (*.f64 t t) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))) |
(fma.f64 (neg.f64 (*.f64 t t)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 l l)) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 3/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 t t)) (pow.f64 l #s(literal 4 binary64))) #s(literal 3/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (neg.f64 (*.f64 l l)))) (*.f64 t t) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* (pow t 2) (+ (* -5/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* 3/2 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 3/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 t t)) (pow.f64 l #s(literal 6 binary64))) #s(literal -5/2 binary64))) (*.f64 t t) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (neg.f64 (*.f64 l l)))) (*.f64 t t) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 3)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64))) |
(* 2 (/ t (pow l 2))) |
(*.f64 (/.f64 t (*.f64 l l)) #s(literal 2 binary64)) |
(+ 1 (* -2 (/ (pow t 2) (pow l 2)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 l #s(literal 4 binary64))) (*.f64 t t) (/.f64 #s(literal -2 binary64) (*.f64 l l))) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 l #s(literal 6 binary64))) #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 l #s(literal 4 binary64)))) (*.f64 t t) (/.f64 #s(literal -2 binary64) (*.f64 l l))) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (pow t 2) (pow l 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) |
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 l #s(literal 4 binary64))) (*.f64 t t) (/.f64 #s(literal -1 binary64) (*.f64 l l))) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 l #s(literal 6 binary64))) #s(literal -5/2 binary64) (/.f64 #s(literal 3/2 binary64) (pow.f64 l #s(literal 4 binary64)))) (*.f64 t t) (/.f64 #s(literal -1 binary64) (*.f64 l l))) (*.f64 t t) #s(literal 1 binary64)) |
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 3)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64))) |
(* -1/8 (/ (pow l 3) (sqrt 1/2))) |
(/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) |
(fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* 2 (/ (pow t 2) (pow l 2))) |
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l)) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 t t)) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal -1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.f64 l (pow.f64 t #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 t t)) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal -1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.f64 l (pow.f64 t #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal -1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 l l)) #s(literal 1/2 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 l #s(literal 8 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.f64 l (pow.f64 t #s(literal 6 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 t t)) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) (*.f64 t t)) #s(literal 1/2 binary64)) |
(/ (+ (* -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 (*.f64 l l) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 t t)) #s(literal -1/4 binary64))) (*.f64 t t)) |
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(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal -1/8 binary64))) (*.f64 l (pow.f64 t #s(literal 4 binary64)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal -1/8 binary64))) (*.f64 l l)) #s(literal 1/2 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 l #s(literal 8 binary64)) #s(literal 1/16 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) (*.f64 (*.f64 l (pow.f64 t #s(literal 6 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 t t)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) (neg.f64 t)) |
(* -1 (/ (+ (* -1 (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.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)))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)))) (neg.f64 t)) |
(* -1 (/ (* l (sqrt 1/2)) t)) |
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(* -1 (/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t)) |
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(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t)) |
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(* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t)) |
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(* -1 (/ (+ (* -1 (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.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)))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)))) (neg.f64 t)) |
(/ (+ (* 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))))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
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(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
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(* l (+ (* -1/8 (/ (* (pow l 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 3) (sqrt 1/2)))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
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(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 t (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 l l) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) t)) l) |
(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8))))))) (sqrt 1/2))) (* 1/2 (/ (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 t (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (*.f64 t t)) (/.f64 #s(literal 1/16 binary64) (pow.f64 t #s(literal 8 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 t (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (*.f64 l l) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 l l) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) t)) 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)))))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l) |
(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2))))) |
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(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 l l) (pow.f64 t #s(literal 6 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 t #s(literal 4 binary64)))) (*.f64 l l) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 l l)) |
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
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(* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
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(* l (+ (* (pow l 2) (- (* 1/2 (/ (* (pow l 2) (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 l l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l) |
(* l (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8)))))) (sqrt 1/2))) (* 1/2 (/ (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
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(* l (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(* l (+ (* -1/8 (/ (pow l 2) (sqrt 1/2))) (* (pow t 2) (sqrt 1/2)))) |
(*.f64 (fma.f64 (*.f64 t t) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) l) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (pow.f64 l #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (pow.f64 l #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 t t))) (pow.f64 l #s(literal 6 binary64))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(-.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) (*.f64 l l)) #s(literal 2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(-.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64)))) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) (*.f64 l l)) #s(literal 2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) (pow.f64 l #s(literal 4 binary64)))) (fma.f64 (neg.f64 (*.f64 t t)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 l l)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -4 (pow t 4)) (pow t 4))) (pow l 4))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4))))) (pow l 6))) (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64))) (pow.f64 l #s(literal 6 binary64))) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (neg.f64 (*.f64 t t)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 l l)) #s(literal 1 binary64))) |
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))))) (pow.f64 l #s(literal 3 binary64))) |
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2)))) |
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(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2))))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal -4 binary64)) (pow.f64 l #s(literal 4 binary64))))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64))) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (+ (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))) (* -1/2 (/ (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4)))) (pow l 6)))))) |
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(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))))) (pow.f64 l #s(literal 3 binary64))) |
(* (pow l 3) (- (/ (* (pow t 2) (sqrt 1/2)) (pow l 2)) (* 1/8 (/ 1 (sqrt 1/2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 l #s(literal 3 binary64))) |
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(*.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))))) |
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(*.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (* (pow t 2) (sqrt 1/2)) (pow l 2))) (* 1/8 (/ 1 (sqrt 1/2)))))) |
(*.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 4 binary64))))) (*.f64 Om Om))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))) |
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) |
(/ (pow Om 2) (pow Omc 2)) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l)) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 l (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc))) #s(literal -1/2 binary64))) (*.f64 Om Om) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l)) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* -1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l) Omc) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (*.f64 l (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Omc #s(literal 4 binary64)))) #s(literal -1/8 binary64))) (*.f64 Om Om))) (*.f64 Om Om) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l)) |
(/ (pow Om 2) Omc) |
(/.f64 (*.f64 Om Om) Omc) |
(/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (pow t 3)) |
(/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (/ (* l (sqrt 1/2)) t))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Om Om)) (*.f64 Omc Omc)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))) |
(+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 2) (pow t 3)))) (* -1/8 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))))) (/ (* l (sqrt 1/2)) t))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Omc Omc)) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Om Om)) (pow.f64 Omc #s(literal 4 binary64))))) (*.f64 Om Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))) |
(+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 2) (pow t 3)))) (* (pow Om 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Omc 4) (pow t 3)))) (* -1/16 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 6) (pow t 3)))))))) (/ (* l (sqrt 1/2)) t))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Om Om)) (pow.f64 t #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64))))) (*.f64 Om Om) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64))))) (*.f64 Om Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(/.f64 (neg.f64 (*.f64 Om Om)) (*.f64 (*.f64 Omc Omc) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 Om Om)) |
(* -1/2 (/ (pow Om 2) (pow Omc 2))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (* 1/2 (/ 1 (pow Omc 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)) |
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))) |
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (/.f64 #s(literal 1 binary64) (*.f64 Om Om)))) (*.f64 Om Om)) |
(/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc) |
(/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))) Om) |
(/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (* Omc (pow t 3))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64)))) |
(* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 Omc (*.f64 Om Om)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64))))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 Omc (*.f64 Om Om)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64)))))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 6) (* (pow t 3) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 Omc (*.f64 Om Om)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64))))))) Om) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (neg.f64 Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc)) |
(/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) (neg.f64 Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))))) |
(* -1 (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (* Omc (pow t 3)))) |
(*.f64 (neg.f64 Om) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64))))) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 (*.f64 (/.f64 Omc (*.f64 Om Om)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64)))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 Omc (*.f64 Om Om)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64))))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 4) (* (pow t 3) (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 6) (* (pow t 3) (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 2) (* (pow t 3) (sqrt -1))))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Omc (pow t 3)))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 Omc (*.f64 Om Om)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64)))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) Om (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 Omc Omc) Om)) (sqrt.f64 #s(literal -1 binary64))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 Omc (pow.f64 Om #s(literal 3 binary64))) (/.f64 Omc (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 Omc (pow.f64 Om #s(literal 5 binary64))) (/.f64 Omc (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))) (*.f64 Omc Omc))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 Omc Omc) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))) (/.f64 (*.f64 Om Om) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (*.f64 Omc Omc)) |
(/ (+ (* -1/2 (pow Om 2)) (pow Omc 2)) (pow Omc 2)) |
(/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc)) |
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc))) (*.f64 Omc Omc)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* Om (sqrt -1)))) (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) Omc) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) Omc) |
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 l Om)) #s(literal 1/2 binary64))) (*.f64 Omc Omc) (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) Omc) |
(/ (+ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l) Om) (*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 3 binary64))) (*.f64 (/.f64 l #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 Omc Omc))) (*.f64 Omc Omc))) Omc) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* Om (* (pow t 3) (sqrt -1))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 Om (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Omc Omc)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64)))) Omc) |
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 3) (* (pow t 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* Om (* (pow t 3) (sqrt -1))))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Omc Omc)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 Om (pow.f64 t #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64)))) Omc) |
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* Om (* (pow t 3) (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))) (* (pow Om 3) (* (pow t 3) (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Om 5) (* (pow t 3) (pow (sqrt -1) 5))))))))) (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2)))))) (pow t 3))) Omc) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Omc Omc)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 Omc Omc) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 Om (pow.f64 t #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64)))) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (pow.f64 Omc #s(literal 4 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 6))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 6 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) l) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l)))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (/ (* l (sqrt 1/2)) t)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Om Om)) (*.f64 Omc Omc)) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 2) (pow t 3)))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 4) (pow t 3)))) (+ (* -1/8 (/ (pow l 3) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (+ (* -1/8 (/ (pow l 3) (sqrt 1/2))) (* l (* (pow t 2) (sqrt 1/2))))) (* (pow Omc 6) (pow t 3)))) (/ (* l (sqrt 1/2)) t))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 Om Om)) (*.f64 Omc Omc)) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 Om #s(literal 6 binary64)) (fma.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 848 |
| 0 | 149 | 794 |
| 1 | 563 | 771 |
| 2 | 3877 | 771 |
| 0 | 8172 | 740 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))))) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))))) |
#s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(/.f64 (*.f64 Om Om) Omc) |
#s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) t) (pow.f64 l #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 t (pow.f64 l #s(literal -2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t (/.f64 #s(literal 2 binary64) (*.f64 l l))) (*.f64 t #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t (/.f64 #s(literal 2 binary64) (*.f64 l l))) t #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) (/.f64 t l) #s(literal 1 binary64)) |
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 t (*.f64 (*.f64 t (/.f64 #s(literal 2 binary64) (*.f64 l l))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 t (*.f64 t (/.f64 #s(literal 2 binary64) (*.f64 l l))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 t t) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 t (pow.f64 l #s(literal -2 binary64))) t) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64)))) |
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(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (*.f64 t l)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(fma.f64 t (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(fma.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t l)) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(fma.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (*.f64 t t) l) #s(literal 2 binary64))) (fma.f64 (*.f64 l (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) t (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 l (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) t (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l) (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l)) |
Compiled 41 212 to 3 609 computations (91.2% saved)
31 alts after pruning (26 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 612 | 16 | 628 |
| Fresh | 9 | 10 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 625 | 31 | 656 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 50.5% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 52.9% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))))) | |
| ✓ | 51.6% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
| 49.2% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) | |
| 65.0% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) | |
| 52.2% | (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) | |
| 52.2% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) | |
| ✓ | 48.6% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
| 82.8% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))))) | |
| 75.1% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)))))) | |
| 85.4% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) | |
| ✓ | 75.1% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
| 25.2% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l))))))) | |
| 52.1% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) | |
| 22.6% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) (*.f64 t t)) #s(literal 1/2 binary64))))) | |
| 47.6% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) | |
| 27.9% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))) | |
| 10.2% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc))))))) | |
| 48.3% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) | |
| ✓ | 42.2% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
| 42.2% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) | |
| 47.7% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))))) | |
| 47.3% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (*.f64 (fma.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t)))))) | |
| ✓ | 48.0% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
| 44.8% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) | |
| 52.2% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 25.4% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc)))))) | |
| 11.0% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) | |
| 28.8% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) | |
| 17.5% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2)))) (*.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64)))))) |
Compiled 4 128 to 1 424 computations (65.5% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) (*.f64 t t)) #s(literal 1/2 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (fma.f64 (/.f64 t l) (/.f64 t l) #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (*.f64 (fma.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t)))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) (*.f64 t t)) t) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (* (* (* (sqrt 1/2) t) t) l) (* -1/8 (/ (pow l 3) (sqrt 1/2)))) (*.f64 (*.f64 l (*.f64 t t)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(asin.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(asin.f64 (sqrt.f64 (*.f64 #s(approx (+ (* -2 (pow (/ t l) 2)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 l l)) (*.f64 t t)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 (*.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t) l (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 t #s(literal 3 binary64)))))) |
(asin.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))))) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
14 calls:
| 38.0ms | l |
| 22.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 20.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 20.0ms | Omc |
| 18.0ms | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 2 | t |
| 91.6% | 2 | l |
| 85.9% | 1 | Om |
| 85.9% | 1 | Omc |
| 99.1% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 99.1% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 99.1% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 85.9% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 85.9% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 85.9% | 1 | (/.f64 Om Omc) |
| 99.1% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 99.1% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 99.1% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 99.1% | 2 | (/.f64 t l) |
Compiled 97 to 112 computations (-15.5% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) (*.f64 t t)) #s(literal 1/2 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (fma.f64 (/.f64 t l) (/.f64 t l) #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (*.f64 (fma.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t)))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) (*.f64 t t)) t) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| Outputs |
|---|
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
7 calls:
| 44.0ms | (/.f64 t l) |
| 12.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 12.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 10.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 10.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 99.0% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 99.0% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 99.0% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 99.0% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 99.0% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 99.0% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) (*.f64 t t)) #s(literal 1/2 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (fma.f64 (/.f64 t l) (/.f64 t l) #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
7 calls:
| 40.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 29.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 27.0ms | (/.f64 t l) |
| 9.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 9.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 98.8% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 98.8% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 98.8% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 98.8% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 98.8% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 98.8% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
7 calls:
| 10.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 10.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 9.0ms | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 8.0ms | (/.f64 t l) |
| 7.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
7 calls:
| 7.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 7.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 6.0ms | (/.f64 t l) |
| 6.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 6.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 94.7% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 94.7% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 94.7% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 94.7% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 94.7% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 96.4% | 3 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
1 calls:
| 31.0ms | (/.f64 t l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 3 | (/.f64 t l) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
14 calls:
| 51.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 25.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 10.0ms | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 9.0ms | l |
| 8.0ms | (/.f64 Om Omc) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 85.4% | 1 | Omc |
| 85.4% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 85.4% | 1 | Om |
| 85.4% | 1 | (/.f64 Om Omc) |
| 85.4% | 1 | t |
| 85.4% | 1 | l |
| 85.4% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 85.4% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 85.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 85.4% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 85.4% | 1 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 85.4% | 1 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 85.4% | 1 | (/.f64 t l) |
Compiled 97 to 112 computations (-15.5% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l))))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
14 calls:
| 53.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 40.0ms | (/.f64 t l) |
| 8.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 7.0ms | Omc |
| 5.0ms | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.8% | 2 | l |
| 77.6% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 77.6% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 77.6% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 77.6% | 2 | (/.f64 t l) |
| 77.6% | 2 | t |
| 75.1% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 75.1% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 77.6% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 77.6% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 77.6% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 75.1% | 1 | Om |
| 75.1% | 1 | (/.f64 Om Omc) |
| 75.1% | 1 | Omc |
Compiled 97 to 112 computations (-15.5% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)))))) |
| Outputs |
|---|
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
2 calls:
| 5.0ms | l |
| 5.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.6% | 2 | t |
| 75.1% | 1 | l |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)))))) |
| Outputs |
|---|
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t)))))) |
5 calls:
| 19.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 4.0ms | t |
| 4.0ms | (/.f64 t l) |
| 4.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 4.0ms | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.6% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 77.6% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 77.6% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 77.6% | 2 | (/.f64 t l) |
| 66.5% | 2 | t |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
14 calls:
| 21.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 4.0ms | l |
| 4.0ms | Om |
| 4.0ms | t |
| 4.0ms | Omc |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.0% | 2 | t |
| 56.6% | 2 | l |
| 52.2% | 1 | Om |
| 52.2% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 52.2% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 52.2% | 1 | (/.f64 Om Omc) |
| 52.2% | 1 | Omc |
| 60.2% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 60.2% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 60.2% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 60.2% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 60.2% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 60.2% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 60.2% | 2 | (/.f64 t l) |
Compiled 97 to 112 computations (-15.5% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (*.f64 Om (/.f64 (neg.f64 Om) (*.f64 Omc Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (+ (* (neg Om) (/ Om (* Omc Omc))) 1) (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) Omc))))) |
| Outputs |
|---|
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
1 calls:
| 3.0ms | (/.f64 t l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.2% | 2 | (/.f64 t l) |
Compiled 3 to 5 computations (-66.7% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (/.f64 (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 Omc Omc)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)))))) |
7 calls:
| 5.0ms | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 2.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 2.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.1% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 60.1% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 60.1% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 60.1% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 60.1% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 60.1% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 60.1% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
14 calls:
| 3.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 1.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 1.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 1.0ms | Omc |
| 1.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 52.1% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 52.1% | 1 | (/.f64 Om Omc) |
| 52.1% | 1 | Om |
| 52.1% | 1 | Omc |
| 52.1% | 1 | t |
| 52.1% | 1 | l |
| 52.1% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 52.1% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 52.1% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 52.1% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 52.1% | 1 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 52.1% | 1 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 52.1% | 1 | (/.f64 t l) |
Compiled 97 to 112 computations (-15.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.8417042542529536e+119 | 2.044719850794077e+121 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.817472244023118e+35 | 7.154641830097706e+35 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 52348882246888344.0 | 8.863149334181287e+20 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 52348882246888344.0 | 8.863149334181287e+20 |
Compiled 22 to 23 computations (-4.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.895915695955132e+307 | +inf |
| 0.0ms | 1.2678094733781447e+149 | 2.4287187031760532e+154 |
Compiled 22 to 23 computations (-4.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.895915695955132e+307 | +inf |
| 0.0ms | 1.2678094733781447e+149 | 2.4287187031760532e+154 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 5.720464427518076e-163 | 1.0232196405380444e-161 |
| 11.0ms | 90× | 0 | valid |
| 5.0ms | 22× | 1 | valid |
Compiled 547 to 415 computations (24.1% saved)
ival-div: 3.0ms (23.5% of total)ival-pow2: 3.0ms (23.5% of total)ival-sub: 3.0ms (23.5% of total)adjust: 1.0ms (7.8% of total)ival-sqrt: 1.0ms (7.8% of total)ival-add: 1.0ms (7.8% of total)ival-mult: 1.0ms (7.8% of total)ival-asin: 1.0ms (7.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 5.227119474898753e-123 | 2.482397545649425e-121 |
| 16.0ms | 73× | 1 | valid |
| 8.0ms | 39× | 0 | valid |
Compiled 631 to 429 computations (32% saved)
ival-pow2: 8.0ms (39.8% of total)ival-div: 4.0ms (19.9% of total)adjust: 2.0ms (9.9% of total)ival-asin: 2.0ms (9.9% of total)ival-sub: 1.0ms (5% of total)ival-sqrt: 1.0ms (5% of total)ival-add: 1.0ms (5% of total)ival-mult: 1.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0878004052186741 | 1.2292710499470105 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 8.121911185332229e+191 | 8.40763391844402e+193 |
| 13.0ms | 112× | 0 | valid |
Compiled 701 to 450 computations (35.8% saved)
ival-sub: 4.0ms (40.1% of total)ival-div: 2.0ms (20.1% of total)ival-pow2: 2.0ms (20.1% of total)ival-add: 1.0ms (10% of total)ival-mult: 1.0ms (10% of total)ival-asin: 1.0ms (10% of total)ival-sqrt: 1.0ms (10% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.121911185332229e+191 | 8.40763391844402e+193 |
Compiled 869 to 527 computations (39.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.121911185332229e+191 | 8.40763391844402e+193 |
Compiled 729 to 478 computations (34.4% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 1235 |
| 1 | 230 | 1203 |
| 2 | 340 | 1203 |
| 3 | 520 | 1203 |
| 4 | 979 | 1203 |
| 5 | 1669 | 1203 |
| 6 | 3392 | 1203 |
| 7 | 6266 | 1203 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 t l) #s(literal 999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 500000000000000021210318687008980992 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 100000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 100000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))) |
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (if (<=.f64 (/.f64 t l) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (if (<=.f64 (/.f64 t l) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 l #s(literal 5065326622169181/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l))))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) |
(if (<=.f64 t #s(literal 5582121402590261/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/36028797018963968 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
| Outputs |
|---|
(if (<=.f64 (/.f64 t l) #s(literal 999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 500000000000000021210318687008980992 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 500000000000000021210318687008980992 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 t l)) l) t #s(literal 1 binary64)) #s(literal -1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 100000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 100000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 100000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))) |
(if (<=.f64 (/.f64 t l) #s(literal 100000000000000000 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))))) |
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (if (<=.f64 (/.f64 t l) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) (if (<=.f64 (/.f64 t l) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (if (<=.f64 (/.f64 t l) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) (if (<=.f64 (/.f64 t l) #s(literal 50000000000000000548953181472022770870246154838655923168405341451578792702455745768581664489247344449530624834860586257805795141871570044164153504599073023015635832251466513592848744849794279521669192233082500589213448813106472588814045597893353729061391985085892207552645901446603936636487442857715111559168 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) #s(approx (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 l #s(literal 5065326622169181/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l))))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) |
(if (<=.f64 l #s(literal 5065326622169181/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l))) #s(literal -1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(if (<=.f64 t #s(literal 5582121402590261/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) |
(if (<=.f64 t #s(literal 5582121402590261/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/36028797018963968 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 1/2 binary64) t))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (fma.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 2600000000000000030362389210241921939957276862256755311903706011057168903479023259903313659072847918450066074790306894159437323172216550395713873146489449286745743109534072536780500683645255680 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) #s(approx (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 68 |
| 0 | 26 | 68 |
| 1 | 100 | 68 |
| 2 | 734 | 68 |
| 3 | 7742 | 68 |
| 0 | 9001 | 64 |
| 0 | 935 | 10012 |
| 1 | 3028 | 9240 |
| 0 | 9383 | 8742 |
| 0 | 76 | 623 |
| 0 | 120 | 576 |
| 1 | 436 | 528 |
| 2 | 3348 | 528 |
| 0 | 8342 | 528 |
| 0 | 100 | 848 |
| 0 | 149 | 794 |
| 1 | 563 | 771 |
| 2 | 3877 | 771 |
| 0 | 8172 | 740 |
| 0 | 390 | 3480 |
| 1 | 1207 | 2950 |
| 2 | 4656 | 2741 |
| 0 | 8195 | 2625 |
| 0 | 907 | 9041 |
| 1 | 3116 | 8305 |
| 0 | 8454 | 7877 |
| 0 | 69 | 549 |
| 0 | 120 | 538 |
| 1 | 428 | 515 |
| 2 | 3226 | 515 |
| 0 | 9813 | 499 |
| 0 | 989 | 9001 |
| 1 | 3201 | 7888 |
| 0 | 8511 | 7413 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 208 to 951 computations (56.9% saved)
(abs Om)
(abs Omc)
Compiled 4 800 to 1 766 computations (63.2% saved)
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