
Time bar (total: 11.9s)
| 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)
| 1.3s | 3 846× | 1 | valid |
| 1.0s | 7 394× | 0 | invalid |
| 737.0ms | 4 410× | 0 | valid |
ival-div: 692.0ms (31.2% of total)ival-pow2: 537.0ms (24.2% of total)ival-asin: 271.0ms (12.2% of total)ival-mult: 189.0ms (8.5% of total)ival-sqrt: 170.0ms (7.7% of total)ival-sub: 118.0ms (5.3% of total)adjust: 106.0ms (4.8% of total)ival-add: 100.0ms (4.5% of total)exact: 17.0ms (0.8% of total)ival-true: 13.0ms (0.6% of total)ival-assert: 6.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 32 | 1 | (1.4392460642908783e+40 7.289680941807046e-283 6.115282591324399e-258 4.101974046050826e-230) | 4 | (1.3530511680497975e+150 8.924329197623116e-9 -1.6560136441353604e+266 -1.952647968934928e+274) | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 14 | 113 | (1.342936399029812e-145 -1.3966540794163092e+205 -1.1510533001704347e-294 -4.13389051521232e+191) | 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))))))) |
| 4 | 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 | 127 | 0 |
sqrt.f64 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) | uflow-rescue | 29 | 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 | 57 | |
| ↳ | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) | underflow | 68 | |
| ↳ | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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 | 28 | |
| ↳ | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) | underflow | 68 | |
| ↳ | (/.f64 t l) | underflow | 17 | |
| ↳ | (/.f64 Om Omc) | underflow | 59 | |
| ↳ | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | underflow | 147 | |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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 | 4 | 0 |
| ↳ | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) | overflow | 61 | |
| ↳ | (/.f64 t l) | overflow | 31 | |
| ↳ | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) | overflow | 61 | |
| ↳ | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) | overflow | 61 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 46 | 0 |
| - | 114 | 96 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 46 | 0 | 0 |
| - | 114 | 0 | 96 |
| number | freq |
|---|---|
| 0 | 96 |
| 1 | 160 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 65.0ms | 232× | 1 | valid |
| 37.0ms | 280× | 0 | valid |
Compiled 320 to 68 computations (78.8% saved)
ival-div: 20.0ms (27.4% of total)ival-pow2: 16.0ms (21.9% of total)ival-asin: 9.0ms (12.3% of total)ival-sqrt: 7.0ms (9.6% of total)adjust: 5.0ms (6.9% of total)ival-mult: 5.0ms (6.9% of total)ival-sub: 4.0ms (5.5% of total)ival-add: 4.0ms (5.5% of total)ival-true: 1.0ms (1.4% of total)exact: 1.0ms (1.4% 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 |
|---|---|---|
| ▶ | 87.2% | (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))))))) |
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 | 128 | (+.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 | 0.24123002930532603 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | |
| accuracy | 0.38300564546840954 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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 | 0.8362398587031104 | (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 | 6.800133953362871 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 68.0ms | 116× | 1 | valid |
| 17.0ms | 140× | 0 | valid |
Compiled 200 to 34 computations (83% saved)
ival-div: 41.0ms (58.7% of total)ival-pow2: 7.0ms (10% of total)ival-add: 7.0ms (10% of total)ival-asin: 4.0ms (5.7% of total)adjust: 3.0ms (4.3% of total)ival-sqrt: 3.0ms (4.3% of total)ival-sub: 2.0ms (2.9% of total)ival-mult: 2.0ms (2.9% 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 | |
|---|---|---|---|---|
| 33.0ms | 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 |
|---|---|---|
| 51.6% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 52.1% | (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))))))) | |
| 65.1% | (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))))))) | |
| 87.1% | (asin.f64 (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))) | |
| 87.2% | (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))))) | |
| 66.5% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (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))))) | |
| ▶ | 87.2% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
| 83.5% | (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))))) | |
| 51.6% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) l) l))))) | |
| 78.0% | (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))))))) | |
| ▶ | 66.5% | (asin.f64 (sqrt.f64 (/.f64 (*.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) (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))))) |
| ▶ | 49.0% | (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))))) |
| 72.3% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) | |
| 23.6% | (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)))))) | |
| ▶ | 73.0% | (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))))))) |
| 45.8% | (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)))))) | |
| ▶ | 42.3% | (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 1 010 to 766 computations (24.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.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) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.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) (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 (*.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) (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 (*.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) (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 (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))) | |
| 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 | 5760 | (*.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 | (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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 | 0 | (neg.f64 Om) | |
| cost-diff | 0 | #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 771 |
| 0 | 120 | 752 |
| 1 | 202 | 731 |
| 2 | 412 | 731 |
| 3 | 1031 | 731 |
| 4 | 3322 | 731 |
| 5 | 6213 | 731 |
| 0 | 8217 | 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 (*.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) (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 (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)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.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) (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 #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)) |
#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 #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 (*.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) (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 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #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 #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 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))) |
(/.f64 (*.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) (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 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #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 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.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 #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 | 0.30093398444260844 | (pow.f64 (/.f64 t l) #s(literal 4 binary64)) | |
| accuracy | 0.8362398587031104 | (asin.f64 (sqrt.f64 (/.f64 (*.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) (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 | 6.800133953362871 | (sqrt.f64 (/.f64 (*.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) (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 | 20.212522640477385 | (/.f64 (*.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) (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 | 3.7609363456935183 | (/.f64 l (pow.f64 t #s(literal 3 binary64))) | |
| accuracy | 6.6605904303306716 | (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) | |
| accuracy | 8.119844965518135 | (/.f64 Om (*.f64 Omc Omc)) | |
| accuracy | 32.441203826990545 | #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 | 0.8664783440061722 | (/.f64 #s(literal 2 binary64) (*.f64 l l)) | |
| accuracy | 1.467946883722989 | (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) | |
| accuracy | 6.804063825511115 | (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 | 9.58063362002049 | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) | |
| accuracy | 0.8362398587031104 | (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 | 6.800133953362871 | (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 | 8.119844965518135 | (/.f64 Om (*.f64 Omc Omc)) | |
| accuracy | 30.685535774978078 | #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 | 0.24123002930532603 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | |
| accuracy | 0.38300564546840954 | (/.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 | 0.8362398587031104 | (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 | 6.800133953362871 | (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)))) |
| 71.0ms | 140× | 0 | valid |
| 65.0ms | 33× | 3 | valid |
| 60.0ms | 57× | 1 | valid |
| 31.0ms | 23× | 2 | valid |
| 6.0ms | 3× | 4 | valid |
Compiled 1 431 to 138 computations (90.4% saved)
ival-mult: 38.0ms (21.2% of total)ival-div: 29.0ms (16.2% of total)adjust: 29.0ms (16.2% of total)ival-add: 21.0ms (11.7% of total)ival-sqrt: 19.0ms (10.6% of total)ival-asin: 18.0ms (10.1% of total)ival-pow2: 9.0ms (5% of total)ival-pow: 9.0ms (5% of total)ival-sub: 5.0ms (2.8% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) |
(neg.f64 Om) |
(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)) |
(*.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 (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 (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))) |
(asin.f64 (sqrt.f64 (/.f64 (*.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) (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 (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)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.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) (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 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om (*.f64 Omc Omc)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 l l)) |
(*.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))) |
(pow.f64 (/.f64 t l) #s(literal 4 binary64)) |
| Outputs |
|---|
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(+ 1 (* -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)) |
(* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* (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))) |
(* 2 (/ t (pow l 2))) |
1 |
(+ 1 (* -1 (/ (pow t 2) (pow l 2)))) |
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2))))) |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(/ (pow l 2) (* (pow t 3) (sqrt 1/2))) |
(/ l (pow t 3)) |
(/ (pow t 4) (pow l 4)) |
(* (/ (* 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) |
(* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (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) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) |
(* (pow t 2) (- (+ (* -2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2))) (/ 1 (pow t 2))) (/ (pow Om 2) (* (pow Omc 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) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (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)) |
(* -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 (/ (+ (* -1 (* (sqrt 1/2) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ (pow l 2) (* (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)) |
(* 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)))))))) |
(+ (* -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) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 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))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(/ 2 (pow l 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)))))))) |
(* (pow l 2) (+ (* -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 (* (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)))) |
(* -1 Om) |
(+ (* -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)))))))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))))) (/ (sqrt 1/2) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))))))) (/ (sqrt 1/2) t))) |
(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))))))) |
(+ 1 (* -2 (/ (pow t 2) (pow l 2)))) |
(+ 1 (+ (* -2 (/ (pow t 2) (pow l 2))) (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (pow Omc 2))))) |
(/ (pow Om 2) (pow Omc 2)) |
(/ Om (pow Omc 2)) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 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))))))))) |
(* -1/2 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (* 1/2 (/ 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) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (pow Omc 2))) |
(* (pow Om 2) (+ (* -2 (/ (pow t 2) (* (pow Om 2) (pow l 2)))) (+ (* -1 (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (pow Omc 2))) (/ 1 (pow Om 2))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (+ (* -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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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)) |
(/ (- (pow Omc 2) (pow Om 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 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) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* Om (* (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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (* Om (sqrt -1))))))) Omc) |
(/ (+ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Omc 2) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (+ (* -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) (+ (* -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 (* -2 (/ (pow t 2) (pow l 2)))))) (* (pow Omc 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))) (/ (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 | |
|---|---|---|---|---|
| 16.0ms | l | @ | inf | ((asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (pow (/ Om Omc) 2)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (neg Om) (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)))) (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (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) (- 1 (pow (/ Om Omc) 2))) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (* (/ 2 (* l l)) t) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ 2 (* l l)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ l (pow t 3)) (pow (/ t l) 4)) |
| 14.0ms | t | @ | 0 | ((asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (pow (/ Om Omc) 2)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (neg Om) (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)))) (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (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) (- 1 (pow (/ Om Omc) 2))) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (* (/ 2 (* l l)) t) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ 2 (* l l)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ l (pow t 3)) (pow (/ t l) 4)) |
| 11.0ms | Omc | @ | 0 | ((asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (pow (/ Om Omc) 2)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (neg Om) (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)))) (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (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) (- 1 (pow (/ Om Omc) 2))) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (* (/ 2 (* l l)) t) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ 2 (* l l)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ l (pow t 3)) (pow (/ t l) 4)) |
| 10.0ms | t | @ | -inf | ((asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (pow (/ Om Omc) 2)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (neg Om) (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)))) (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (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) (- 1 (pow (/ Om Omc) 2))) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (* (/ 2 (* l l)) t) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ 2 (* l l)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ l (pow t 3)) (pow (/ t l) 4)) |
| 10.0ms | t | @ | inf | ((asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (pow (/ Om Omc) 2)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (neg Om) (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)))) (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (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) (- 1 (pow (/ Om Omc) 2))) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (* (/ 2 (* l l)) t) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1))) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ 2 (* l l)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ l (pow t 3)) (pow (/ t l) 4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1007 | 11915 |
| 1 | 3417 | 10993 |
| 0 | 8067 | 10372 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(+ 1 (* -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)) |
(* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* (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))) |
(* 2 (/ t (pow l 2))) |
1 |
(+ 1 (* -1 (/ (pow t 2) (pow l 2)))) |
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -5/2 (/ (pow t 2) (pow l 6))) (* 3/2 (/ 1 (pow l 4))))) (/ 1 (pow l 2))))) |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(/ (pow l 2) (* (pow t 3) (sqrt 1/2))) |
(/ l (pow t 3)) |
(/ (pow t 4) (pow l 4)) |
(* (/ (* 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) |
(* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (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) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) |
(* (pow t 2) (- (+ (* -2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2))) (/ 1 (pow t 2))) (/ (pow Om 2) (* (pow Omc 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) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (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)) |
(* -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 (/ (+ (* -1 (* (sqrt 1/2) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ (pow l 2) (* (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)) |
(* 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)))))))) |
(+ (* -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) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 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))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(/ 2 (pow l 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)))))))) |
(* (pow l 2) (+ (* -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 (* (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)))) |
(* -1 Om) |
(+ (* -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)))))))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))))) (/ (sqrt 1/2) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))))))) (/ (sqrt 1/2) t))) |
(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))))))) |
(+ 1 (* -2 (/ (pow t 2) (pow l 2)))) |
(+ 1 (+ (* -2 (/ (pow t 2) (pow l 2))) (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (pow Omc 2))))) |
(/ (pow Om 2) (pow Omc 2)) |
(/ Om (pow Omc 2)) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 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))))))))) |
(* -1/2 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (* 1/2 (/ 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) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (pow Omc 2))) |
(* (pow Om 2) (+ (* -2 (/ (pow t 2) (* (pow Om 2) (pow l 2)))) (+ (* -1 (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (pow Omc 2))) (/ 1 (pow Om 2))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (+ (* -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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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)) |
(/ (- (pow Omc 2) (pow Om 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 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) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* Om (* (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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (* Om (sqrt -1))))))) Omc) |
(/ (+ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Omc 2) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (+ (* -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) (+ (* -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 (* -2 (/ (pow t 2) (pow l 2)))))) (* (pow Omc 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))) (/ (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 |
|---|
(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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.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))) #s(literal 1/2 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) (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 (*.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 t t) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (/.f64 (*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 l l)) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64) (*.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 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 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) (fma.f64 (neg.f64 (*.f64 t t)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 l l)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 3/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 t t)) (pow.f64 l #s(literal 4 binary64))) #s(literal 3/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (neg.f64 (*.f64 l l)))) (*.f64 t t) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (+ (* -1 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* (pow t 2) (+ (* -5/2 (/ (* (pow t 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* 3/2 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 3/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 t t)) (pow.f64 l #s(literal 6 binary64))) #s(literal -5/2 binary64))) (*.f64 t t) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (neg.f64 (*.f64 l l)))) (*.f64 t t) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
(* -1/8 (* (/ (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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 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))) |
(* -1/8 (* (/ (pow l 2) (* (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 (*.f64 l l) (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 2) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* (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 #s(literal -1/8 binary64) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t t)))) (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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64) (*.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 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 (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)))) |
(* 2 (/ t (pow l 2))) |
(*.f64 (/.f64 t (*.f64 l l)) #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (pow t 2) (pow l 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) |
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2))))) |
(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)) |
(+ 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)) |
(/ (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)))) |
(/ l (pow t 3)) |
(/.f64 l (pow.f64 t #s(literal 3 binary64))) |
(/ (pow t 4) (pow l 4)) |
(/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 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) |
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(/.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 (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)))) (neg.f64 t)) |
(* -1 (/ (* 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))) (neg.f64 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)) |
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(* -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)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 l (pow.f64 t #s(literal 4 binary64)))) (/.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)))) (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))))) (neg.f64 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)) |
(/.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 (*.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))) #s(literal 1/8 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))))) (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)) |
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(* -1 (/ (+ (* -1 (* (sqrt 1/2) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ (pow l 2) (* (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 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (*.f64 t t))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (neg.f64 t)) |
(* -1 (/ (* l (sqrt 1/2)) t)) |
(*.f64 (neg.f64 l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) |
(* -1 (/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t)) |
(/.f64 (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)) (neg.f64 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)) |
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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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(* 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
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(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 l l) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (pow.f64 t #s(literal 4 binary64))) #s(literal -1/4 binary64))) (*.f64 l l)) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) t) (*.f64 (fma.f64 (/.f64 (-.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 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64)))) #s(literal 1/8 binary64))) (*.f64 l l))) (*.f64 l l)) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
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(* l (+ (* -1/8 (/ (* (pow l 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 3) (sqrt 1/2)))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
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(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
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(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8))))))) (sqrt 1/2))) (* 1/2 (/ (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
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(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
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(+ (* -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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(* (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))))))) |
(*.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 (-.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 (*.f64 (*.f64 l l) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64)))) #s(literal 1/8 binary64))) (*.f64 l l))) (*.f64 l l)) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (+ (* -1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))) (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))))))) |
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(/ (+ (* -2 (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 #s(literal -2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)) |
(* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
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(* l (+ (* (pow l 2) (- (* 1/2 (/ (* (pow l 2) (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
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(* l (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8)))))) (sqrt 1/2))) (* 1/2 (/ (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
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(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l)) |
(/ 2 (pow l 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 l l)) |
(+ (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)))))))))) |
(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) (fma.f64 (/.f64 (*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 l l)) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
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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)))))) |
(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))))))) |
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(* (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))) |
(* (pow l 2) (+ (* -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)))))) (*.f64 l l)) |
(- (+ 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))) |
(-.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) (fma.f64 (/.f64 (*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 l l)) #s(literal -2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(- (+ 1 (+ (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -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)))) |
(-.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64)))) #s(literal -8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 l l)) #s(literal -2 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) (*.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)))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))))) |
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(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64))) (pow.f64 l #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))) |
(* -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)))) (fma.f64 #s(literal -1 binary64) (/.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))))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 Omc #s(literal 4 binary64)))))) (*.f64 Om Om) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))) |
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(* -1 Om) |
(neg.f64 Om) |
(+ (* -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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) 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 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Om Om)) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))))) (/ (sqrt 1/2) t))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Om Om)) (pow.f64 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc)) #s(literal -1/2 binary64))) (*.f64 Om Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))))))) (/ (sqrt 1/2) t))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Om Om)) (pow.f64 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) |
(sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 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 #s(literal -1/2 binary64) (*.f64 Omc 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)))))) (*.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 (neg.f64 Om) Om) (/.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 #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)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) |
(+ 1 (+ (* -2 (/ (pow t 2) (pow l 2))) (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (pow Omc 2))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) (fma.f64 (*.f64 (neg.f64 Om) Om) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (*.f64 Omc Omc)) #s(literal 1 binary64))) |
(/ (pow Om 2) (pow Omc 2)) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/ Om (pow Omc 2)) |
(/.f64 Om (*.f64 Omc Omc)) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (*.f64 Omc Omc))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 Om Om)) |
(* -1 (/ (pow Om 2) (pow Omc 2))) |
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)) |
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (/.f64 #s(literal 1 binary64) (*.f64 Om Om)))) (*.f64 Om Om)) |
(* -1/2 (/ (pow Om 2) (pow Omc 2))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (* 1/2 (/ 1 (pow Omc 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)) |
(/ (* Om (* 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))) Om) |
(/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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 (pow.f64 Omc #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om)))) #s(literal 1/2 binary64) (*.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 (*.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 Omc #s(literal 3 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om)))) #s(literal 1/2 binary64) (*.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 (*.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 Omc #s(literal 5 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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.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 Omc #s(literal 3 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om)))) #s(literal 1/2 binary64) (*.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) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (pow Omc 2))) |
(*.f64 (*.f64 (neg.f64 Om) Om) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (*.f64 Omc Omc))) |
(* (pow Om 2) (+ (* -2 (/ (pow t 2) (* (pow Om 2) (pow l 2)))) (+ (* -1 (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (pow Omc 2))) (/ 1 (pow Om 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 Om Om)) (*.f64 (/.f64 t l) (/.f64 t l)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (*.f64 Omc Omc)))) (*.f64 Om Om)) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))) (neg.f64 Om)) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) (neg.f64 Om)) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) (neg.f64 Om)) |
(* -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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)) (neg.f64 Om)) |
(* -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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))) (neg.f64 Om)) |
(* -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 (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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))) (neg.f64 Om)) |
(* -1 (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (neg.f64 Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)) (neg.f64 Om)) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))) (neg.f64 Om)) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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 (pow.f64 Omc #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))) (neg.f64 Om)) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) |
(*.f64 (neg.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))))) |
(* -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 (fma.f64 (*.f64 (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om)))) #s(literal 1/2 binary64) (*.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)))))) (neg.f64 Om)) |
(* -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 (fma.f64 (/.f64 (*.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 Omc #s(literal 3 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om)))) #s(literal 1/2 binary64) (*.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))))))) (neg.f64 Om)) |
(* -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 (fma.f64 (/.f64 (*.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 Omc #s(literal 5 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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.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 Omc #s(literal 3 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om)))) #s(literal 1/2 binary64) (*.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)))))))) (neg.f64 Om)) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) Om (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Omc (sqrt.f64 #s(literal -1 binary64))) (/.f64 Omc Om))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (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) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (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)))))) (*.f64 Omc Omc) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) #s(literal 1/2 binary64))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 Omc Omc) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))) (/.f64 (*.f64 Om Om) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 Omc Omc)) |
(/ (- (pow Omc 2) (pow Om 2)) (pow Omc 2)) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 Om Om) (*.f64 Omc Omc))) (*.f64 Omc Omc)) |
(/ (+ (* -1/2 (pow Om 2)) (pow Omc 2)) (pow Omc 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 Om Om) (*.f64 Omc Omc)) (*.f64 Omc Omc)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 l Om) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))) (*.f64 Omc Omc) (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 Om #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 3 binary64))) (*.f64 (/.f64 l #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 Omc Omc))) (*.f64 Omc Omc) (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) Omc) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* Om (* (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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) Omc) |
(/ (+ (* Om (* (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) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (+ (* -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 1/2 binary64) Om) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) Omc) |
(/ (+ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Omc 2) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (+ (* -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) (+ (* -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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Om) (*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 Om #s(literal 5 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.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) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) 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 (*.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 (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))))) #s(literal 1/2 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 (fma.f64 (*.f64 #s(literal 1/2 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))) (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 (/.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 (pow.f64 Om #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 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))))) #s(literal -1/8 binary64))) (*.f64 Omc Omc) (*.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) (+ (* 1/2 (* (/ (+ (* -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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 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 (pow.f64 Om #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 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 (*.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)) (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 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64))) (*.f64 Omc Omc) (*.f64 (*.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))))) #s(literal 1/2 binary64))) (*.f64 Omc Omc) (*.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) |
(/ (+ (* -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 (*.f64 (neg.f64 Om) Om) (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 (* -2 (/ (pow t 2) (pow l 2)))))) (* (pow Omc 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 Omc Omc (*.f64 (neg.f64 Om) Om))) (*.f64 Omc Omc)) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 #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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l)))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Om Om)) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 Om #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Omc #s(literal 4 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))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))) (/ (sqrt 1/2) t))))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Om Om)) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 Om #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64))))) (fma.f64 (/.f64 (*.f64 (pow.f64 Om #s(literal 6 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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)))))))))) |
(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 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om 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 (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))))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om 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)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 583 |
| 0 | 120 | 572 |
| 1 | 427 | 546 |
| 2 | 3178 | 546 |
| 0 | 9624 | 531 |
| 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))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) |
(neg.f64 Om) |
(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)) |
(*.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 (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 (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))) |
(asin.f64 (sqrt.f64 (/.f64 (*.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) (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 (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)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.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) (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 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om (*.f64 Omc Omc)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 l l)) |
(*.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))) |
(pow.f64 (/.f64 t l) #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 (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))) (-.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)))) |
(*.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))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 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) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (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 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 l l))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) |
(*.f64 (pow.f64 t #s(literal -3/2 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 l t)) |
(*.f64 (pow.f64 t #s(literal -3 binary64)) (pow.f64 (pow.f64 l #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -3 binary64)) l) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 t t) l) #s(literal -1 binary64))) |
(*.f64 (neg.f64 l) (pow.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 l (pow.f64 t #s(literal -3 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) |
(pow.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) #s(literal -1 binary64)) |
(/.f64 (/.f64 l (pow.f64 t #s(literal 3/2 binary64))) (pow.f64 t #s(literal 3/2 binary64))) |
(/.f64 (/.f64 l (*.f64 t t)) t) |
(/.f64 (neg.f64 (neg.f64 l)) (neg.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)))) |
(/.f64 (*.f64 l #s(literal 1 binary64)) (pow.f64 t #s(literal 3 binary64))) |
(/.f64 (/.f64 l t) (*.f64 t t)) |
(/.f64 (neg.f64 l) (pow.f64 (neg.f64 t) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) |
(/.f64 l (pow.f64 t #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) |
(neg.f64 (/.f64 (neg.f64 l) (pow.f64 t #s(literal 3 binary64)))) |
(neg.f64 (/.f64 l (pow.f64 (neg.f64 t) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 t l) t) #s(literal 2 binary64)) (pow.f64 l #s(literal -2 binary64))) |
(*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (pow.f64 l #s(literal -2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal -4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 t l)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 t l)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (neg.f64 t) #s(literal 4 binary64)) (pow.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (/.f64 l t) #s(literal -3 binary64)) (/.f64 t l)) |
(*.f64 (pow.f64 l #s(literal -4 binary64)) (pow.f64 t #s(literal 4 binary64))) |
(*.f64 (*.f64 t t) (pow.f64 (pow.f64 (*.f64 l (/.f64 l t)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
(*.f64 (/.f64 t l) (pow.f64 (/.f64 l t) #s(literal -3 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (/.f64 t l))) |
(pow.f64 (/.f64 l t) #s(literal -4 binary64)) |
(pow.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 t l) #s(literal 4 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 t l)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 t l)) #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 t l)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t l)) #s(literal 4 binary64))) |
Compiled 51 922 to 5 530 computations (89.3% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 001 | 16 | 1 017 |
| Fresh | 6 | 6 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 011 | 23 | 1 034 |
| Status | Accuracy | Program |
|---|---|---|
| 51.6% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 52.1% | (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))))))) | |
| 65.1% | (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))))))) | |
| 51.2% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) | |
| 52.6% | (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))))) | |
| 78.0% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) | |
| 60.9% | (asin.f64 (sqrt.f64 (/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))) | |
| 71.7% | (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)))))) | |
| 51.2% | (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)))))) | |
| ✓ | 49.0% | (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))))) |
| 72.3% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) | |
| 23.6% | (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)))))) | |
| ▶ | 86.8% | (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))))))) |
| 84.6% | (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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))) | |
| 47.8% | (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))))) | |
| 48.6% | (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))))))) | |
| 50.8% | (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))) #s(literal 1 binary64))))) | |
| 45.8% | (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)))))) | |
| 17.1% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) 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 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t t)))) (pow.f64 t #s(literal 3 binary64)))) l))) | |
| ▶ | 48.2% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))) |
| ▶ | 19.3% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l))) |
| ▶ | 47.8% | (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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
| ▶ | 44.2% | (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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) |
Compiled 2 009 to 1 376 computations (31.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l)) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l))) | |
| cost-diff | 1536 | (*.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)))))) (*.f64 l l)) | |
| 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))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))) | |
| cost-diff | 0 | (/.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) | |
| cost-diff | 0 | #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)) | |
| 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t))) | |
| 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) Omc) | |
| cost-diff | 0 | #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) | |
| 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))) | |
| 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om 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)) (/.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 | 320 | (*.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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 1297 |
| 0 | 133 | 1227 |
| 1 | 243 | 1181 |
| 2 | 563 | 1163 |
| 3 | 1494 | 1163 |
| 4 | 3544 | 1163 |
| 5 | 4286 | 1143 |
| 6 | 5319 | 1143 |
| 7 | 6398 | 1143 |
| 8 | 7161 | 1143 |
| 0 | 8032 | 1130 |
| 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 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
(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))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)) |
(/.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) |
(*.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))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
l |
(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) |
t |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)) |
(*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l) |
#s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
t |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/.f64 Om Omc) |
Om |
Omc |
l |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l)) |
(*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l) |
#s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) |
(*.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)))))) (*.f64 l l)) |
(*.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)))))) |
(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 |
(+.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))))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 l l) t) |
(*.f64 l l) |
l |
t |
(/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))) |
#s(literal -1/8 binary64) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64))) |
(pow.f64 t #s(literal 3 binary64)) |
#s(literal 3 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 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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 (/.f64 Om Omc) Om) |
(*.f64 Om Om) |
Om |
#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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l) (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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l) (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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 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) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 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))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) l) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
l |
(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 (/.f64 Om Omc) Om) |
(*.f64 Om Om) |
Om |
#s(literal 1 binary64) |
t |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)) |
(*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l) |
(*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l) |
#s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
#s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
t |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
l |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (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)))) l))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l)) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (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)))) l)) |
(*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l) |
(*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (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)))) l) |
#s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) |
#s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (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 (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)))))) (*.f64 l l)) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (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 (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)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) l)) (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 |
(+.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))))) |
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) l)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) l) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 l l) t) |
(*.f64 l l) |
l |
t |
(/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) |
#s(literal -1/8 binary64) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64))) |
(*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(pow.f64 t #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.351911521649144 | (*.f64 (*.f64 l l) t) | |
| accuracy | 8.695258831585354 | (+.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))))) | |
| accuracy | 26.582599731850483 | (*.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)))))) (*.f64 l l)) | |
| accuracy | 32.441203826990545 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l)) | |
| accuracy | 0.8362398587031104 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))) | |
| accuracy | 2.731800316247421 | (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l) | |
| accuracy | 32.441203826990545 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)) | |
| accuracy | 32.80584537276852 | #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) | |
| accuracy | 0.48190270968170656 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t))) | |
| accuracy | 0.8362398587031104 | (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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) | |
| accuracy | 6.374459856159426 | (/.f64 (*.f64 Om Om) Omc) | |
| accuracy | 31.260060122510666 | #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)) | |
| accuracy | 0.48190270968170656 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))) | |
| accuracy | 0.8362398587031104 | (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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) | |
| accuracy | 6.374459856159426 | (/.f64 (*.f64 Om Om) Omc) | |
| accuracy | 30.351648764193907 | #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) | |
| accuracy | 0.38213834326233465 | (/.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 | 0.48190270968170656 | #s(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 | 0.8362398587031104 | (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 | 7.004451870878094 | (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
| 130.0ms | 116× | 1 | valid |
| 83.0ms | 140× | 0 | valid |
Compiled 2 053 to 169 computations (91.8% saved)
ival-mult: 57.0ms (37.8% of total)ival-div: 33.0ms (21.9% of total)ival-sqrt: 14.0ms (9.3% of total)ival-add: 13.0ms (8.6% of total)adjust: 10.0ms (6.6% of total)ival-pow2: 8.0ms (5.3% of total)ival-asin: 6.0ms (4% of total)ival-sub: 4.0ms (2.7% of total)ival-pow: 4.0ms (2.7% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% 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))))) |
(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)))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/2 binary64) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)) |
(*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l) |
#s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (+.f64 (/.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)))))) (*.f64 l l)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l)) |
(*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l) |
(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)))) |
(/.f64 (*.f64 Om 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))))) |
(*.f64 (*.f64 l l) t) |
| 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))))))))))) |
(/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t) |
(* -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)) |
(* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* (pow t 2) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 3)) |
(* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* (pow t 2) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 3)) |
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))))) |
(/ -1/8 (* (pow t 3) (sqrt 1/2))) |
(/ (- (/ (* (pow t 2) (sqrt 1/2)) (pow l 2)) (* 1/8 (/ 1 (sqrt 1/2)))) (pow t 3)) |
(* (pow l 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) |
(* (/ (* 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) |
(* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (sqrt 1/2) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (sqrt 1/2) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (* 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) |
(/ (sqrt 1/2) (* (pow l 2) t)) |
(/ (- (/ (sqrt 1/2) (pow l 2)) (* 1/8 (/ 1 (* (pow t 2) (sqrt 1/2))))) t) |
(* -1 (/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t)) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (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 (/ (+ (* -1 (* (sqrt 1/2) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (+ (* -1 (* (sqrt 1/2) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ (pow l 2) (* (pow t 2) (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 (/ (+ (* -1 (/ (sqrt 1/2) (pow l 2))) (* 1/8 (/ 1 (* (pow t 2) (sqrt 1/2))))) 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))))))))))))) |
(* 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)))))))) |
(+ (* -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))))))) |
(+ (* -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)))))) |
(/ (+ (* 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))) |
(/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow l 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))))))) |
(+ (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)))))))))) |
(* (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)))))))) |
(* (pow l 2) (+ (* -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)))))))) |
(* (pow l 2) (+ (* -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))))))) |
(+ 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)))))) |
(- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (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)))))))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t)) |
(+ (* -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)))))))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))))) (/ (sqrt 1/2) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))))))) (/ (sqrt 1/2) t))) |
(* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 6))))))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(/ (pow Om 2) Omc) |
(* -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))))))))))) |
(* -1/2 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (* 1/2 (/ 1 (pow Omc 2))))) |
(* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) |
(* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) (* (pow Om 2) t)))) |
(/ (* 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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc))))) |
(/ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))))) |
(* -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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc)))))) |
(* -1 (/ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))))) |
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2)) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1/2 (pow Om 2)) (pow Omc 2)) (pow Omc 2)) |
(/ -1/2 Omc) |
(/ (+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) t)) (/ (* (pow Omc 2) (* l (sqrt 1/2))) t)) (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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* Om (* (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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (* Om (sqrt -1))))))) Omc) |
(/ (+ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Omc 2) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (+ (* -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) (+ (* -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) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* Om (sqrt -1)))) (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))))) Omc) |
(/ (+ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* Om (sqrt -1))))))) Omc) |
(/ (+ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) (* (pow Omc 2) (+ (* 1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) 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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))) (/ (sqrt 1/2) t))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 6))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | t | @ | 0 | ((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* -1/2 (* (/ Om Omc) (/ 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/ -1/2 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 Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/ (* (* (sqrt 1/2) l) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1)) t) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (* (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3))))) (* l l)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (/ (* Om Om) Omc) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (* (* l l) t)) |
| 21.0ms | Omc | @ | 0 | ((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* -1/2 (* (/ Om Omc) (/ 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/ -1/2 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 Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/ (* (* (sqrt 1/2) l) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1)) t) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (* (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3))))) (* l l)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (/ (* Om Om) Omc) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (* (* l l) t)) |
| 9.0ms | l | @ | 0 | ((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* -1/2 (* (/ Om Omc) (/ 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/ -1/2 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 Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/ (* (* (sqrt 1/2) l) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1)) t) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (* (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3))))) (* l l)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (/ (* Om Om) Omc) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (* (* l l) t)) |
| 8.0ms | Om | @ | inf | ((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* -1/2 (* (/ Om Omc) (/ 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/ -1/2 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 Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/ (* (* (sqrt 1/2) l) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1)) t) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (* (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3))))) (* l l)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (/ (* Om Om) Omc) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (* (* l l) t)) |
| 6.0ms | t | @ | inf | ((* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (+ (* -1/2 (* (/ Om Omc) (/ 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/ -1/2 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 Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/ (* (* (sqrt 1/2) l) (+ (* (/ -1/2 Omc) (/ (* Om Om) Omc)) 1)) t) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (* (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3))))) (* l l)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (/ 1 (sqrt (+ (* (pow (/ t l) 2) 2) 1))) (/ (* Om Om) Omc) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (* (* l l) t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 909 | 9937 |
| 1 | 3138 | 9147 |
| 0 | 8779 | 8708 |
| 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))))))))))) |
(/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t) |
(* -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)) |
(* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* (pow t 2) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 3)) |
(* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* (pow t 2) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 3)) |
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))))) |
(/ -1/8 (* (pow t 3) (sqrt 1/2))) |
(/ (- (/ (* (pow t 2) (sqrt 1/2)) (pow l 2)) (* 1/8 (/ 1 (sqrt 1/2)))) (pow t 3)) |
(* (pow l 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) |
(* (/ (* 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) |
(* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (sqrt 1/2) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (sqrt 1/2) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (* 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) |
(/ (sqrt 1/2) (* (pow l 2) t)) |
(/ (- (/ (sqrt 1/2) (pow l 2)) (* 1/8 (/ 1 (* (pow t 2) (sqrt 1/2))))) t) |
(* -1 (/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t)) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (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 (/ (+ (* -1 (* (sqrt 1/2) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (+ (* -1 (* (sqrt 1/2) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ (pow l 2) (* (pow t 2) (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 (/ (+ (* -1 (/ (sqrt 1/2) (pow l 2))) (* 1/8 (/ 1 (* (pow t 2) (sqrt 1/2))))) 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))))))))))))) |
(* 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)))))))) |
(+ (* -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))))))) |
(+ (* -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)))))) |
(/ (+ (* 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))) |
(/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow l 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))))))) |
(+ (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)))))))))) |
(* (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)))))))) |
(* (pow l 2) (+ (* -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)))))))) |
(* (pow l 2) (+ (* -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))))))) |
(+ 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)))))) |
(- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (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)))))))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t)) |
(+ (* -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)))))))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))))) (/ (sqrt 1/2) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))))))) (/ (sqrt 1/2) t))) |
(* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 6))))))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(/ (pow Om 2) Omc) |
(* -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))))))))))) |
(* -1/2 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (* 1/2 (/ 1 (pow Omc 2))))) |
(* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) |
(* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) (* (pow Om 2) t)))) |
(/ (* 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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc))))) |
(/ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))))) |
(* -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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc)))))) |
(* -1 (/ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))))) |
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2)) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1/2 (pow Om 2)) (pow Omc 2)) (pow Omc 2)) |
(/ -1/2 Omc) |
(/ (+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) t)) (/ (* (pow Omc 2) (* l (sqrt 1/2))) t)) (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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* Om (* (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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (* Om (sqrt -1))))))) Omc) |
(/ (+ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Omc 2) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (+ (* -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) (+ (* -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) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* Om (sqrt -1)))) (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))))) Omc) |
(/ (+ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* Om (sqrt -1))))))) Omc) |
(/ (+ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) (* (pow Omc 2) (+ (* 1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) 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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))) (/ (sqrt 1/2) t))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 6))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))))) |
| 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 (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 (*.f64 t t) (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 (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 (*.f64 t t) (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))) #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))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (/.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))))))))))) |
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(/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t) |
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(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
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(/ (+ (* -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 #s(literal -1/8 binary64) (pow.f64 l #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64))) |
(* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
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(/ (+ (* -1/8 (* (/ (pow l 2) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* (pow t 2) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 3)) |
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(/ (+ (* -1/8 (* (/ (pow l 2) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* (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 t t) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (pow t 2) (pow l 2))) |
(fma.f64 (/.f64 t l) (/.f64 t l) #s(literal 1 binary64)) |
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(+ 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))))) |
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(+ 1 (* -1 (/ (pow t 2) (pow l 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l))) |
(+ 1 (* (pow t 2) (- (* 3/2 (/ (pow t 2) (pow l 4))) (/ 1 (pow l 2))))) |
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(* (pow l 2) t) |
(*.f64 (*.f64 l l) 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) |
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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))))) (+ (* -1/8 (/ (* (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) |
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(* (/ (* 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) |
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(/ (+ (* -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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal -1/8 binary64))) (*.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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (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 (*.f64 (pow.f64 l #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(literal 1/16 binary64))) (*.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) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -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 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (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 (/.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) |
(* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) |
(/ (+ (* -1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 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 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (*.f64 t t))) (sqrt.f64 #s(literal 1/2 binary64)))) t) |
(* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) |
(/ (+ (* -1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 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 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (*.f64 t t))) (sqrt.f64 #s(literal 1/2 binary64)))) t) |
(/ (* t (sqrt 2)) l) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l) |
(* t (+ (* 1/2 (/ l (* (pow t 2) (sqrt 2)))) (/ (sqrt 2) l))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 l (*.f64 t t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t) |
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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) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (pow.f64 t #s(literal 3 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))) |
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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))))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
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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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(* 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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))))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(+ (* -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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(/ (+ (* 1/2 (/ (pow l 2) (* t (sqrt 2)))) (* t (sqrt 2))) l) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 2 binary64))) (*.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 (pow.f64 t #s(literal 3 binary64))) (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 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 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 3 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l) |
(* l (+ (* (pow l 2) (- (* 1/2 (/ (* (pow l 2) (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 l l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l) |
(* l (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/16 (/ 1 (pow t 8)))))) (sqrt 1/2))) (* 1/2 (/ (* t (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2))))) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (/ (sqrt 1/2) t))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (*.f64 t t)) (/.f64 #s(literal 1/16 binary64) (pow.f64 t #s(literal 8 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 t (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) (*.f64 l l) (/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 l l) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l) |
(/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow l 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 l l)) |
(+ 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))) |
(+ (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)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(literal 8 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 t t))) (pow.f64 l #s(literal 6 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 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (pow.f64 l #s(literal 3 binary64))) |
(* (pow l 2) (+ (* -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 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l)) |
(* (pow l 2) (+ (* -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 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l)) |
(+ 1 (+ (* -1/2 (/ (pow t 4) (pow l 4))) (/ (pow t 2) (pow l 2)))) |
(fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 t l) (/.f64 t l) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (pow t 4) (pow l 4))) (+ (* 1/2 (/ (pow t 6) (pow l 6))) (/ (pow t 2) (pow l 2))))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 t l) (/.f64 t l) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64)) (pow.f64 l #s(literal 6 binary64)))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64))) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))) |
(+ 1 (+ (* -1 (/ (pow t 2) (pow l 2))) (+ (* -1/2 (/ (+ (* -4 (pow t 4)) (pow t 4)) (pow l 4))) (* -1/2 (/ (+ (* 8 (pow t 6)) (* (pow t 2) (+ (* -4 (pow t 4)) (pow t 4)))) (pow l 6)))))) |
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 t t) (*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64))) (pow.f64 l #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)))) |
(- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))) |
(-.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))))) |
(* -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)))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 l l) t))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) #s(literal -1/2 binary64) (*.f64 (/.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))) (* 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) 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 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Om Om)) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))))) (/ (sqrt 1/2) t))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Om Om)) (pow.f64 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc)) #s(literal -1/2 binary64))) (*.f64 Om Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))))))) (/ (sqrt 1/2) t))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Om Om)) (pow.f64 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) |
(*.f64 (-.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))))) (*.f64 l l)) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om l) (*.f64 Om l)) (-.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)))))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (-.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))))) (*.f64 l l))) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 (-.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))))) (*.f64 l l)) Omc) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om l) (*.f64 Om l)) (-.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 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64))) (*.f64 Om Om) (*.f64 (-.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))))) (*.f64 l l))) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 6))))))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om l) (*.f64 Om l)) (-.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 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (-.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))))) (*.f64 l l)) (pow.f64 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64))) (*.f64 Om Om) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 (-.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))))) (*.f64 l l)) Omc))) (*.f64 Om Om) (*.f64 (-.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))))) (*.f64 l l))) |
(/ (pow Om 2) Omc) |
(/.f64 (*.f64 Om Om) Omc) |
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (/.f64 #s(literal 1 binary64) (*.f64 Om Om)))) (*.f64 Om Om)) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (*.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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* -1/2 (/ (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) (* l (sqrt 1/2))) (* (pow Omc 2) t))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) t) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) (/.f64 (*.f64 Om Om) Omc))) |
(* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) (* (pow Om 2) t)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 Om #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))) Om) |
(/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))) Om) |
(/ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) Omc) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Omc) Om) |
(* Om (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 Omc (*.f64 l l)) (-.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)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Omc)) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 l l)) (-.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)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 Omc (*.f64 l l)) (-.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)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Omc))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 l l)) (-.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)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 l l)) (-.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)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 Omc (*.f64 l l)) (-.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)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Omc)))) Om) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (neg.f64 Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (*.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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (+ (* -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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 Om #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))))) |
(* -1 (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (neg.f64 Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))))) |
(* -1 (/ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) Omc)) |
(*.f64 (neg.f64 Om) (/.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 (*.f64 (*.f64 Omc (*.f64 l l)) (-.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)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Omc))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 l l)) (-.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)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 Omc (*.f64 l l)) (-.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)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Omc)))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 l l)) (-.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)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 l l)) (-.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)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 Omc (*.f64 l l)) (-.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)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Omc))))) |
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc))) (*.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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) Om (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 Omc Omc) Om)) (sqrt.f64 #s(literal -1 binary64))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 Omc (pow.f64 Om #s(literal 3 binary64))) (/.f64 Omc (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 Omc (pow.f64 Om #s(literal 5 binary64))) (/.f64 Omc (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) 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 Omc) |
(/.f64 #s(literal -1/2 binary64) Omc) |
(/ (+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) t)) (/ (* (pow Omc 2) (* l (sqrt 1/2))) t)) (pow Omc 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 Om Om) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)) #s(literal -1/2 binary64) (*.f64 (*.f64 Omc Omc) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))) (*.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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 l Om) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))) (*.f64 Omc Omc) (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 Om #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 3 binary64))) (*.f64 (/.f64 l #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* Om (* (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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) Omc) |
(/ (+ (* Om (* (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) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (+ (* -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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) Omc) |
(/ (+ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Omc 2) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (+ (* -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) (+ (* -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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Om) (*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 Om #s(literal 5 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.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) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) Omc) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* Om (sqrt -1)))) (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))))) Omc) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 (*.f64 (*.f64 (*.f64 Omc l) (*.f64 Omc l)) (-.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)))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 Om (*.f64 l l)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.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)))))))) Omc) |
(/ (+ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* 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 l) (*.f64 Omc l)) (-.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)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 (*.f64 (-.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))))) (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 Omc Omc) (*.f64 (*.f64 Om (*.f64 l l)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.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)))))))) Omc) |
(/ (+ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) (* (pow Omc 2) (+ (* 1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 (*.f64 (-.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))))) (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Omc l) (*.f64 Omc l)) (-.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)))))) (*.f64 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.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))))) (*.f64 (pow.f64 Om #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) #s(literal -1/8 binary64))) (*.f64 Omc Omc))) (*.f64 Omc Omc) (*.f64 (*.f64 Om (*.f64 l l)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.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)))))))) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (pow.f64 Omc #s(literal 4 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l)))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Om Om)) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 Om #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Omc #s(literal 4 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))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))) (/ (sqrt 1/2) t))))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Om Om)) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 Om #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64))))) (fma.f64 (/.f64 (*.f64 (pow.f64 Om #s(literal 6 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) (*.f64 l l)) (-.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 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 Om l) (*.f64 Om l)) (-.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)))))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (-.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))))) (*.f64 l l)))) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 6))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 (*.f64 (*.f64 Om l) (*.f64 Om l)) (-.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)))))) Omc) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 6 binary64)) (*.f64 l l)) (-.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 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) (*.f64 l l)) (-.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 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 (-.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))))) (*.f64 l l))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 985 |
| 0 | 133 | 933 |
| 1 | 496 | 881 |
| 2 | 3981 | 863 |
| 0 | 8241 | 851 |
| 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))))) |
(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)))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/2 binary64) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)) |
(*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l) |
#s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (+.f64 (/.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)))))) (*.f64 l l)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l)) |
(*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l) |
(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)))) |
(/.f64 (*.f64 Om 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))))) |
(*.f64 (*.f64 l l) t) |
| 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 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
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(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 l) l) t) (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (neg.f64 l) l) t))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) t) (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (*.f64 (*.f64 l l) t))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (*.f64 (*.f64 l l) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) l) (pow.f64 t #s(literal 3 binary64)) (*.f64 t (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 t (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) l) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))) (*.f64 t #s(literal 1/8 binary64))) (*.f64 t (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) l) (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t #s(literal -1/8 binary64))) (*.f64 t (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) l) (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (*.f64 t #s(literal 1 binary64))) (*.f64 t (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 l) l) t) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 (neg.f64 l) l) t) (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 l) l) t) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 l) l) t) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 l) l) t) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 l) l) t) (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 l) l) t) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 l) l) t) (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) |
(/.f64 (fma.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 l l) t) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 l l) t) (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 l l) t) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 l l) t) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 l l) t) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 l l) t) (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 l l) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 l l) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 l l) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 l l) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 l l) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 l l) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 l l) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 l l) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 t #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #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 (fma.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (pow.f64 t #s(literal 9 binary64)))) (fma.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal -3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 l l) t)))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (pow.f64 t #s(literal 9 binary64)))) (fma.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64))) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 l l) t) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 l l) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #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 (pow.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 t #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64))) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (pow.f64 t #s(literal 9 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 l l) t)) (fma.f64 (*.f64 (*.f64 l l) t) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) l) (pow.f64 t #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) |
(fma.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64)))) |
(fma.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64)))) |
(fma.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64)))) |
(fma.f64 (/.f64 (pow.f64 t #s(literal -3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) |
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) |
(fma.f64 (pow.f64 l #s(literal -2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64)))) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) l) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64)))) |
(fma.f64 (pow.f64 t #s(literal -3 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 (neg.f64 l) l) t) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64)))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 t #s(literal -3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64))) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #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 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 t #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #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 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64))) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal -3 binary64)))) |
(*.f64 (*.f64 l t) l) |
(*.f64 (*.f64 l l) t) |
(*.f64 l (*.f64 l t)) |
(*.f64 t (*.f64 l l)) |
Compiled 43 071 to 3 489 computations (91.9% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 541 | 11 | 552 |
| Fresh | 4 | 13 | 17 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 550 | 25 | 575 |
| Status | Accuracy | Program |
|---|---|---|
| 51.6% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 52.1% | (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))))))) | |
| 65.1% | (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))))))) | |
| 51.2% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) | |
| 50.8% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) | |
| 52.6% | (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))))) | |
| 50.8% | (/.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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) | |
| 78.0% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) | |
| ▶ | 60.9% | (asin.f64 (sqrt.f64 (/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
| 71.7% | (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)))))) | |
| 51.2% | (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)))))) | |
| ✓ | 49.0% | (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))))) |
| 72.3% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) | |
| 23.6% | (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)))))) | |
| 63.1% | (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))))))) | |
| 47.2% | (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 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)))))) | |
| 46.7% | (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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 l (*.f64 t t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t)))))) | |
| ▶ | 84.6% | (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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))) |
| 48.6% | (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))))))) | |
| 47.8% | (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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) | |
| ▶ | 45.8% | (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)))))) |
| ▶ | 19.0% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l))) |
| ▶ | 50.8% | (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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))))) |
| 47.8% | (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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) t)))) | |
| 47.7% | (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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))))) |
Compiled 2 355 to 1 494 computations (36.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) | |
| cost-diff | 0 | (/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (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 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (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 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))) | |
| 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))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l)) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l))) | |
| cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) Omc) | |
| cost-diff | 0 | #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #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 (/.f64 t l) #s(literal 2 binary64)) 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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 1141 |
| 0 | 160 | 1075 |
| 1 | 273 | 1057 |
| 2 | 543 | 1057 |
| 3 | 1196 | 1057 |
| 4 | 3067 | 1057 |
| 5 | 5881 | 1057 |
| 0 | 8043 | 1036 |
| 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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) 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 (/.f64 t l) #s(literal 2 binary64)) 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 (/.f64 t l) #s(literal 2 binary64)) 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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) |
(*.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
t |
l |
#s(literal 2 binary64) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64)))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/2 binary64) Omc) |
#s(literal -1/2 binary64) |
Omc |
(*.f64 (/.f64 Om Omc) Om) |
(/.f64 Om Omc) |
Om |
#s(literal 1 binary64) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
l |
t |
(sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) |
(neg.f64 Om) |
Om |
(/.f64 Om (*.f64 Omc Omc)) |
(*.f64 Omc Omc) |
Omc |
#s(literal 1 binary64) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l)) |
(*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l) |
#s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l)) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 l l) t) |
(*.f64 l l) |
l |
t |
(asin.f64 (sqrt.f64 (/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #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 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (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 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) |
(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 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(*.f64 Om Om) |
Om |
(*.f64 Omc Omc) |
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 #s(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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) 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 Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) 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 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 (/.f64 t l) #s(literal 2 binary64)) 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 (/.f64 t l) #s(literal 2 binary64)) 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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) |
(*.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
t |
l |
#s(literal 2 binary64) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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 Omc) Om) #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 Omc) Om) |
(/.f64 Om Omc) |
Om |
#s(literal 1 binary64) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
l |
t |
(sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
(neg.f64 Om) |
Om |
(/.f64 Om (*.f64 Omc Omc)) |
(/.f64 (/.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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) l)))) l))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l)) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) l)))) l)) |
(*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l) |
(*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) l)))) l) |
#s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) |
#s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) l)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l)) |
(*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) l))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) |
(*.f64 #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) l)) (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 |
#s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t))) |
#s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) l)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) l) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 l l) t) |
(*.f64 l l) |
l |
t |
(asin.f64 (sqrt.f64 (/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (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 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #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 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)))) |
(/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (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 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #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 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(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 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(*.f64 Om Om) |
Om |
(*.f64 Omc Omc) |
Omc |
(fma.f64 #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 | 0.8362398587031104 | (asin.f64 (sqrt.f64 (/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))) | |
| accuracy | 6.800133953362871 | (sqrt.f64 (/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 13.891370971212746 | (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) | |
| accuracy | 20.212522640477385 | (/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) | |
| accuracy | 6.351911521649144 | (*.f64 (*.f64 l l) t) | |
| accuracy | 26.582599731850483 | (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l)) | |
| accuracy | 28.671779550958444 | #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t))) | |
| accuracy | 32.441203826990545 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l)) | |
| accuracy | 0.40234375 | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) | |
| accuracy | 0.8362398587031104 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) | |
| accuracy | 8.119844965518135 | (/.f64 Om (*.f64 Omc Omc)) | |
| accuracy | 31.26006012254947 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) | |
| accuracy | 0.12890625 | (*.f64 (/.f64 Om Omc) Om) | |
| accuracy | 0.48190270968170656 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64)))) | |
| accuracy | 0.8362398587031104 | (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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))))) | |
| accuracy | 30.351648764193907 | #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) | |
| accuracy | 0.48190270968170656 | #s(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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))))) | |
| accuracy | 0.8362398587031104 | (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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))) | |
| accuracy | 1.467946883722989 | (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)) | |
| accuracy | 6.804063825511115 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))) |
| 86.0ms | 140× | 0 | valid |
| 80.0ms | 57× | 1 | valid |
| 78.0ms | 33× | 3 | valid |
| 74.0ms | 23× | 2 | valid |
| 7.0ms | 3× | 4 | valid |
Compiled 1 885 to 196 computations (89.6% saved)
ival-mult: 61.0ms (27.2% of total)ival-div: 51.0ms (22.8% of total)adjust: 31.0ms (13.8% of total)ival-sqrt: 23.0ms (10.3% of total)ival-add: 18.0ms (8% of total)ival-asin: 13.0ms (5.8% of total)ival-pow2: 9.0ms (4% of total)ival-pow: 8.0ms (3.6% of total)ival-sub: 7.0ms (3.1% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) 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 (/.f64 t l) #s(literal 2 binary64)) 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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64)))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/2 binary64) Omc) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l)) |
(*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l) |
#s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) |
(asin.f64 (sqrt.f64 (/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #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 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (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 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)) |
(*.f64 (/.f64 Om Omc) Om) |
(/.f64 Om (*.f64 Omc Omc)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
#s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l)) |
(*.f64 (*.f64 l l) t) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
| Outputs |
|---|
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(+ 1 (* -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))))))))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (* l (sqrt 1/2)) t) |
(* -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)) |
(* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* (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 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) (+ (* -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 |
(+ 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)))) |
(/ -1/8 (* (pow t 3) (sqrt 1/2))) |
(/ (- (/ (* (pow t 2) (sqrt 1/2)) (pow l 2)) (* 1/8 (/ 1 (sqrt 1/2)))) (pow t 3)) |
(* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* (pow t 2) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 3)) |
(* (pow l 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) |
(/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t) |
(/ (+ (* -1/8 (* (/ (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) |
(* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (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))))))) |
(* 1/2 (/ (* (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)) |
(/ (+ (* -1/4 (/ (* (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) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) |
(* (pow t 2) (- (+ (* -2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2))) (/ 1 (pow t 2))) (/ (pow Om 2) (* (pow Omc 2) (pow t 2))))) |
(/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(/ (sqrt 1/2) (* (pow l 2) t)) |
(/ (- (/ (sqrt 1/2) (pow l 2)) (* 1/8 (/ 1 (* (pow t 2) (sqrt 1/2))))) t) |
(* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (sqrt 1/2) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -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 (/ (+ (* -1 (* (sqrt 1/2) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ (pow l 2) (* (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 (/ (sqrt 1/2) (pow l 2))) (* 1/8 (/ 1 (* (pow t 2) (sqrt 1/2))))) t)) |
(* -1 (/ (+ (* -1 (* (sqrt 1/2) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (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))))))))))))) |
(* 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)))))))) |
(+ (* -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) (- 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) (+ (* -1/4 (/ (- 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) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 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))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (sqrt 1/2)) |
(/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow l 2)) |
(+ (* -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)))))) |
(+ (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 (+ (* -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)))))))) |
(* (pow l 2) (+ (* -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)))))) |
(- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))) |
(* (pow l 2) (+ (* -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))))))) |
(* -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))))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t)) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t)) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t)) |
(+ (* -1/2 (/ (* (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)))))))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))))) (/ (sqrt 1/2) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))))))) (/ (sqrt 1/2) t))) |
(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))))))) |
(+ 1 (* -2 (/ (pow t 2) (pow l 2)))) |
(+ 1 (+ (* -2 (/ (pow t 2) (pow l 2))) (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (pow Omc 2))))) |
(/ (pow Om 2) Omc) |
(/ Om (pow Omc 2)) |
(* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 6))))))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(/ (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))))))))))) |
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* -1/2 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (* 1/2 (/ 1 (pow Omc 2))))) |
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)) |
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(/ (* 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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (pow Omc 2))) |
(* (pow Om 2) (+ (* -2 (/ (pow t 2) (* (pow Om 2) (pow l 2)))) (+ (* -1 (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (pow Omc 2))) (/ 1 (pow Om 2))))) |
(/ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))) |
(* -1 (/ (* Om (* 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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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 (/ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) 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) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2)) |
(/ (+ (* -1/2 (pow Om 2)) (pow Omc 2)) (pow Omc 2)) |
(/ -1/2 Omc) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* 1/2 (/ (* (pow 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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* Om (* (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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (* Om (sqrt -1))))))) Omc) |
(/ (+ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Omc 2) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (+ (* -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) (+ (* -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 (* -2 (/ (pow t 2) (pow l 2)))))) (* (pow Omc 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* Om (sqrt -1)))) (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))))) Omc) |
(/ (+ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* Om (sqrt -1))))))) Omc) |
(/ (+ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) (* (pow Omc 2) (+ (* 1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t)))) |
(+ (* -1/2 (/ (* (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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))) (/ (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))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 6))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | Omc | @ | -inf | ((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 (+ (* (/ (* (/ t l) 2) l) t) 1)))) (+ (* -1/2 (* (/ Om Omc) (/ 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/ -1/2 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 1/2) l) t) (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1))) (/ (* (sqrt 1/2) l) t) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (asin (sqrt (/ (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (+ (* -4 (pow (/ t l) 4)) 1)))) (sqrt (/ (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (+ (* -4 (pow (/ t l) 4)) 1))) (/ (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (+ (* -4 (pow (/ t l) 4)) 1)) (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (sqrt (/ 1 (+ (* (/ (* (/ t l) 2) l) t) 1))) (+ (* (/ (* (/ t l) 2) l) t) 1) (* (/ Om Omc) Om) (/ Om (* Omc Omc)) (* (sqrt 1/2) l) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (* (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3))))) (* l l)) (* (* l l) t) (/ (* Om Om) (* Omc Omc))) |
| 9.0ms | t | @ | inf | ((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 (+ (* (/ (* (/ t l) 2) l) t) 1)))) (+ (* -1/2 (* (/ Om Omc) (/ 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/ -1/2 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 1/2) l) t) (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1))) (/ (* (sqrt 1/2) l) t) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (asin (sqrt (/ (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (+ (* -4 (pow (/ t l) 4)) 1)))) (sqrt (/ (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (+ (* -4 (pow (/ t l) 4)) 1))) (/ (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (+ (* -4 (pow (/ t l) 4)) 1)) (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (sqrt (/ 1 (+ (* (/ (* (/ t l) 2) l) t) 1))) (+ (* (/ (* (/ t l) 2) l) t) 1) (* (/ Om Omc) Om) (/ Om (* Omc Omc)) (* (sqrt 1/2) l) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (* (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3))))) (* l l)) (* (* l l) t) (/ (* Om Om) (* Omc Omc))) |
| 8.0ms | Om | @ | 0 | ((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 (+ (* (/ (* (/ t l) 2) l) t) 1)))) (+ (* -1/2 (* (/ Om Omc) (/ 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/ -1/2 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 1/2) l) t) (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1))) (/ (* (sqrt 1/2) l) t) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (asin (sqrt (/ (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (+ (* -4 (pow (/ t l) 4)) 1)))) (sqrt (/ (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (+ (* -4 (pow (/ t l) 4)) 1))) (/ (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (+ (* -4 (pow (/ t l) 4)) 1)) (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (sqrt (/ 1 (+ (* (/ (* (/ t l) 2) l) t) 1))) (+ (* (/ (* (/ t l) 2) l) t) 1) (* (/ Om Omc) Om) (/ Om (* Omc Omc)) (* (sqrt 1/2) l) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (* (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3))))) (* l l)) (* (* l l) t) (/ (* Om Om) (* Omc Omc))) |
| 6.0ms | t | @ | -inf | ((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 (+ (* (/ (* (/ t l) 2) l) t) 1)))) (+ (* -1/2 (* (/ Om Omc) (/ 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/ -1/2 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 1/2) l) t) (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1))) (/ (* (sqrt 1/2) l) t) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (asin (sqrt (/ (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (+ (* -4 (pow (/ t l) 4)) 1)))) (sqrt (/ (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (+ (* -4 (pow (/ t l) 4)) 1))) (/ (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (+ (* -4 (pow (/ t l) 4)) 1)) (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (sqrt (/ 1 (+ (* (/ (* (/ t l) 2) l) t) 1))) (+ (* (/ (* (/ t l) 2) l) t) 1) (* (/ Om Omc) Om) (/ Om (* Omc Omc)) (* (sqrt 1/2) l) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (* (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3))))) (* l l)) (* (* l l) t) (/ (* Om Om) (* Omc Omc))) |
| 5.0ms | l | @ | -inf | ((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 (+ (* (/ (* (/ t l) 2) l) t) 1)))) (+ (* -1/2 (* (/ Om Omc) (/ 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/ -1/2 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 1/2) l) t) (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1))) (/ (* (sqrt 1/2) l) t) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (asin (sqrt (/ (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (+ (* -4 (pow (/ t l) 4)) 1)))) (sqrt (/ (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (+ (* -4 (pow (/ t l) 4)) 1))) (/ (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (+ (* -4 (pow (/ t l) 4)) 1)) (* (+ (* -2 (pow (/ t l) 2)) 1) (- 1 (/ (* Om Om) (* Omc Omc)))) (sqrt (/ 1 (+ (* (/ (* (/ t l) 2) l) t) 1))) (+ (* (/ (* (/ t l) 2) l) t) 1) (* (/ Om Omc) Om) (/ Om (* Omc Omc)) (* (sqrt 1/2) l) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (* (* (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3))))) (* l l)) (* (* l l) t) (/ (* Om Om) (* Omc Omc))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1162 | 13697 |
| 1 | 4037 | 12835 |
| 0 | 8102 | 12189 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(+ 1 (* -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))))))))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (* l (sqrt 1/2)) t) |
(* -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)) |
(* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* (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 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) (+ (* -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 |
(+ 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)))) |
(/ -1/8 (* (pow t 3) (sqrt 1/2))) |
(/ (- (/ (* (pow t 2) (sqrt 1/2)) (pow l 2)) (* 1/8 (/ 1 (sqrt 1/2)))) (pow t 3)) |
(* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* (pow t 2) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 3)) |
(* (pow l 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) |
(/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(/ (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (* (pow l 3) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (sqrt 1/2)))) (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))))))) t) |
(/ (+ (* -1/8 (* (/ (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) |
(* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (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))))))) |
(* 1/2 (/ (* (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)) |
(/ (+ (* -1/4 (/ (* (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) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) |
(* (pow t 2) (- (+ (* -2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2))) (/ 1 (pow t 2))) (/ (pow Om 2) (* (pow Omc 2) (pow t 2))))) |
(/ (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2)))) t) |
(/ (+ (* -1/2 (/ (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2))))) (+ (* -1/2 (/ (+ (* 1/16 (pow l 8)) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (pow l 6)) (* 1/64 (/ (pow l 6) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2))))) (+ (* -1/8 (/ (pow l 3) (* (pow t 2) (sqrt 1/2)))) (* l (sqrt 1/2))))) t) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(/ (sqrt 1/2) (* (pow l 2) t)) |
(/ (- (/ (sqrt 1/2) (pow l 2)) (* 1/8 (/ 1 (* (pow t 2) (sqrt 1/2))))) t) |
(* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (sqrt 1/2) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -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 (/ (+ (* -1 (* (sqrt 1/2) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/8 (* (/ (pow l 2) (* (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 (/ (sqrt 1/2) (pow l 2))) (* 1/8 (/ 1 (* (pow t 2) (sqrt 1/2))))) t)) |
(* -1 (/ (+ (* -1 (* (sqrt 1/2) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ (pow l 2) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (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))))))))))))) |
(* 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)))))))) |
(+ (* -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) (- 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) (+ (* -1/4 (/ (- 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) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 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))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (sqrt 1/2)) |
(/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow l 2)) |
(+ (* -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)))))) |
(+ (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 (+ (* -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)))))))) |
(* (pow l 2) (+ (* -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)))))) |
(- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))) |
(* (pow l 2) (+ (* -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))))))) |
(* -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))))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t)) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t)) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t)) |
(+ (* -1/2 (/ (* (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)))))))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))))) (/ (sqrt 1/2) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))))))) (/ (sqrt 1/2) t))) |
(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))))))) |
(+ 1 (* -2 (/ (pow t 2) (pow l 2)))) |
(+ 1 (+ (* -2 (/ (pow t 2) (pow l 2))) (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (pow Omc 2))))) |
(/ (pow Om 2) Omc) |
(/ Om (pow Omc 2)) |
(* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 6))))))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(/ (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))))))))))) |
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* -1/2 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (* 1/2 (/ 1 (pow Omc 2))))) |
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)) |
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(/ (* 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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (pow Omc 2))) |
(* (pow Om 2) (+ (* -2 (/ (pow t 2) (* (pow Om 2) (pow l 2)))) (+ (* -1 (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (pow Omc 2))) (/ 1 (pow Om 2))))) |
(/ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))) |
(* -1 (/ (* Om (* 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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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 (/ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) Omc)) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) 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) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2)) |
(/ (+ (* -1/2 (pow Om 2)) (pow Omc 2)) (pow Omc 2)) |
(/ -1/2 Omc) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* 1/2 (/ (* (pow 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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* Om (* (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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (* Om (sqrt -1))))))) Omc) |
(/ (+ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Omc 2) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (+ (* -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) (+ (* -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 (* -2 (/ (pow t 2) (pow l 2)))))) (* (pow Omc 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* Om (sqrt -1)))) (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))))) Omc) |
(/ (+ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* Om (sqrt -1))))))) Omc) |
(/ (+ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) (* (pow Omc 2) (+ (* 1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t)))) |
(+ (* -1/2 (/ (* (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 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))) (/ (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))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 6))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))))) |
| Outputs |
|---|
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(fma.f64 (/.f64 (neg.f64 (*.f64 t t)) (*.f64 l l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (- 1 (/ (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))))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (-.f64 (*.f64 (/.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 (*.f64 (*.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) (neg.f64 (/.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 l l)))) (*.f64 t t)) (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 t t) (neg.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.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))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 t t)) (*.f64 l l))) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))) |
(+ 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))))))) |
(+.f64 (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) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 l l)))) (*.f64 t t) (*.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))))))))) |
(+.f64 (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) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (*.f64 l l)))) (*.f64 t t) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))) #s(literal 1 binary64)) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(*.f64 (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(/ (* l (sqrt 1/2)) t) |
(*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) |
(* -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 t t) (sqrt.f64 #s(literal 1/2 binary64))) 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))) |
(* -1/8 (* (/ (pow l 2) (* (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 (*.f64 l l) (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 2) (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* (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 #s(literal -1/8 binary64) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 t #s(literal 3 binary64))) |
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(- 1 (/ (pow Om 2) (pow Omc 2))) |
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(- (+ 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))) |
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1 |
#s(literal 1 binary64) |
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(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
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(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
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(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
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(/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t) |
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(/ (+ (* -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))))) (+ (* -1/8 (/ (* (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) |
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(* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
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(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
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(* (pow t 2) (- (+ (* -2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2))) (/ 1 (pow t 2))) (/ (pow Om 2) (* (pow Omc 2) (pow t 2))))) |
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(* -1 (/ (* l (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))))) t)) |
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(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 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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(* l (+ (* -1/8 (/ (* (pow l 2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 3) (sqrt 1/2)))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
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(* l (+ (* (pow l 2) (+ (* -1/8 (/ (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 3) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* t (* (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) (- (* 1/8 (/ 1 (pow t 6))) (* 1/64 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt 1/2) (+ 1 (* -1/2 (/ (pow Om 2) (pow Omc 2))))) t))) |
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(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
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(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 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) (+ (* -1/4 (/ (- 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) (- (* (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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(+ 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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(* (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))) |
(* (pow l 2) (+ (* -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)))))) (*.f64 l l)) |
(- (+ 1 (+ (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))) (/ (pow Om 2) (pow Omc 2))) |
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(- (+ 1 (+ (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (/ (pow Om 2) (pow Omc 2)))) |
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(- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))) |
(-.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 l 2) (+ (* -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)))))) (*.f64 l l)) |
(* -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)))) (fma.f64 #s(literal -1 binary64) (/.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))))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(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)))) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 Omc #s(literal 4 binary64)))))) (*.f64 Om Om) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 Omc Omc)) #s(literal -1/2 binary64))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t)) |
(fma.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) #s(literal -1/2 binary64) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t)) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) t) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 l Omc)) (*.f64 (/.f64 #s(literal -1/8 binary64) t) (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 Omc #s(literal 4 binary64))))) (*.f64 Om Om) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) t) (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) (*.f64 Om Om) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) (*.f64 Om Om) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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))) (* 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) 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 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Om Om)) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))))) (/ (sqrt 1/2) t))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 l l) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Om Om)) (pow.f64 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc)) #s(literal -1/2 binary64))) (*.f64 Om Om) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))))))) (/ (sqrt 1/2) t))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 l l) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Om Om)) (pow.f64 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) |
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(+ (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))))))))) |
(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)))) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))))) (*.f64 Om Om) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(+ (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 Omc #s(literal 4 binary64)))))) (*.f64 Om Om) (*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 Omc Omc)) #s(literal -1/2 binary64))) (*.f64 Om Om) (sqrt.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))))) |
(/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) |
(+ (* -2 (/ (pow t 2) (* (pow l 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (+ (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (* (pow Omc 2) (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) (/ 1 (+ 1 (* -4 (/ (pow t 4) (pow l 4))))))) |
(fma.f64 (/.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (fma.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (neg.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 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (*.f64 Omc Omc)) (/.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 (* -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 (+ (* -2 (/ (pow t 2) (pow l 2))) (* -1 (/ (* (pow Om 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (pow Omc 2))))) |
(-.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (*.f64 Om Om)) (*.f64 Omc Omc))) |
(/ (pow Om 2) Omc) |
(/.f64 (*.f64 Om Om) Omc) |
(/ Om (pow Omc 2)) |
(/.f64 Om (*.f64 Omc Omc)) |
(* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) |
(*.f64 (-.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))))) (*.f64 l l)) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 (*.f64 (*.f64 l Om) (*.f64 l Om)) (-.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)))))) Omc) (*.f64 (-.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))))) (*.f64 l l))) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2))) (* -1/8 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 (-.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))))) (*.f64 l l)) Omc) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 l Om) (*.f64 l Om)) (-.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 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64))) (*.f64 Om Om) (*.f64 (-.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))))) (*.f64 l l))) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2))) (* (pow Om 2) (+ (* -1/8 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (pow Omc 4))) (* -1/16 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 6))))))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) (/.f64 (-.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 Omc #s(literal 4 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 l Om) (*.f64 l Om)) (-.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 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64))) (*.f64 Om Om) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 (-.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))))) (*.f64 l l)) Omc))) (*.f64 Om Om) (*.f64 (-.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))))) (*.f64 l l))) |
(/ (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 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ 1 (pow Om 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc)))) (*.f64 Om Om)) |
(* -1/2 (/ (pow Om 2) (pow Omc 2))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc)) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (* 1/2 (/ 1 (pow Omc 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)) |
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)) |
(/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 t Omc)) |
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc)) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64))))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 4 binary64)) t)) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc)) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 4 binary64)) t)) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 Om #s(literal 6 binary64)) t)) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) l) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc)) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64))))))) Om) |
(/ (* 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))) Om) |
(/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om)))) #s(literal 1/2 binary64) (*.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 (*.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 Omc #s(literal 3 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om)))) #s(literal 1/2 binary64) (*.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 (*.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 Omc #s(literal 3 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.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 Omc #s(literal 5 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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om)))) #s(literal 1/2 binary64) (*.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 (neg.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 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (*.f64 Omc Omc))) |
(* (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) (+ 1 (* -2 (/ (pow t 2) (pow l 2))))) (pow Omc 2))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (*.f64 Om Om)) (*.f64 Omc Omc))) |
(* (pow Om 2) (+ (* -2 (/ (pow t 2) (* (pow Om 2) (pow l 2)))) (+ (* -1 (/ (+ 1 (* -2 (/ (pow t 2) (pow l 2)))) (pow Omc 2))) (/ 1 (pow Om 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 Om Om)) (*.f64 (/.f64 t l) (/.f64 t l)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (*.f64 Omc Omc)))) (*.f64 Om Om)) |
(/ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) Omc) |
(*.f64 Om (/.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Omc)) |
(* Om (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 Omc (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.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))))) (*.f64 Om Om))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Omc)) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 l l)) (-.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 Om #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 Omc (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.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))))) (*.f64 Om Om))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Omc))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 l l)) (-.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 Om #s(literal 4 binary64))) (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)) (*.f64 l l)) (-.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 Om #s(literal 6 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 Omc (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.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))))) (*.f64 Om Om))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Omc)))) Om) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (neg.f64 Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 Omc (*.f64 Om Om)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))) |
(neg.f64 (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 t Omc))) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc)) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 4 binary64)) t)) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc)) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 4 binary64)) t)) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 Om #s(literal 6 binary64)) t)) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) l) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc)) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc)) |
(/.f64 (neg.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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)))) |
(*.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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Omc l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))))) |
(* -1 (/ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) Omc) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) Omc)))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (+ (* -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) (+ (* -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 (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (sqrt -1)))) (/ (* (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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Omc) (*.f64 Om Om)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 (neg.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))))) |
(* -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 (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om)))) #s(literal 1/2 binary64) (*.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 (*.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 Omc #s(literal 3 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om)))) #s(literal 1/2 binary64) (*.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 (*.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 Omc #s(literal 3 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 Om #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.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 Omc #s(literal 5 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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 Om Om)))) #s(literal 1/2 binary64) (*.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 (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) Omc)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Om)) Omc) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))) |
(*.f64 (neg.f64 Om) (fma.f64 (*.f64 (/.f64 (*.f64 Omc (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.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))))) (*.f64 Om Om))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Omc))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 l l)) (-.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 Om #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 Omc (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.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))))) (*.f64 Om Om))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Omc)))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (sqrt -1)))) (/ (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) Omc)))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 l l)) (-.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 Om #s(literal 4 binary64))) (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)) (*.f64 l l)) (-.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 Om #s(literal 6 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 Omc (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.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))))) (*.f64 Om Om))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Omc))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) Om (*.f64 #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)))) (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) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (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)))))) (*.f64 Omc Omc) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) #s(literal 1/2 binary64))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) Omc) |
(/ (+ (* -1/2 (* (pow Om 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (pow Omc 2)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 (*.f64 Om Om) #s(literal -1/2 binary64) (*.f64 Omc Omc))) (*.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 Omc) |
(/.f64 #s(literal -1/2 binary64) Omc) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 Om t)) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 3 binary64)) t)) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) t)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Om))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 Om #s(literal 5 binary64)) t)) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) (*.f64 (*.f64 (pow.f64 Om #s(literal 3 binary64)) t) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (*.f64 Omc Omc) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) t)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Om))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) t)) Omc) |
(/ (+ (* 1/2 (/ (* (pow 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 l Om) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))) (*.f64 Omc Omc) (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l) Om) (*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 Om #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 3 binary64))) (*.f64 (/.f64 l #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 Omc Omc))) (*.f64 Omc Omc) (*.f64 (*.f64 Om l) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) Omc) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* Om (* (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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) Omc) |
(/ (+ (* Om (* (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) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (+ (* -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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) Om) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 Omc Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) Omc) |
(/ (+ (* Om (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Omc 2) (+ (* 1/2 (/ (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (+ (* -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) (+ (* -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 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) Om) (*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 Om #s(literal 5 binary64))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Omc Omc)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.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) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) 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 (*.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 (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))))) #s(literal 1/2 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 (fma.f64 (*.f64 #s(literal 1/2 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))) (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 (/.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 (pow.f64 Om #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 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))))) #s(literal -1/8 binary64))) (*.f64 Omc Omc) (*.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) (+ (* 1/2 (* (/ (+ (* -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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 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 (pow.f64 Om #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 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 (*.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)) (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 (pow.f64 Om #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64))) (*.f64 Omc Omc) (*.f64 (*.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))))) #s(literal 1/2 binary64))) (*.f64 Omc Omc) (*.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) |
(/ (+ (* -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 (*.f64 Om Om)) (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 (* -2 (/ (pow t 2) (pow l 2)))))) (* (pow Omc 2) (+ 1 (* -2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (fma.f64 Omc Omc (neg.f64 (*.f64 Om Om)))) (*.f64 Omc Omc)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* Om (sqrt -1)))) (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))))) Omc) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 Omc l) (*.f64 Omc l)) (-.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)))))) Om) (*.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Om)) Omc) |
(/ (+ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* Om (sqrt -1))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.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))))) Om)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 Omc l) (*.f64 Omc l)) (-.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)))))) (*.f64 (pow.f64 Om #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.f64 Omc Omc) (*.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Om)) Omc) |
(/ (+ (* Om (* (pow l 2) (* (sqrt -1) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) (* (pow Omc 2) (+ (* 1/2 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (-.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))))) (*.f64 l l)) Om) (*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 Om #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 Omc l) (*.f64 Omc l)) (-.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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 l l) (/.f64 (-.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))))) (*.f64 (pow.f64 Om #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) #s(literal -1/8 binary64))) (*.f64 Omc Omc))) (*.f64 Omc Omc) (*.f64 (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 #s(literal -1 binary64))) (-.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)))))) Om)) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+.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 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))) (*.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) t) (*.f64 (/.f64 (*.f64 (*.f64 Om Om) l) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc)) (fma.f64 (*.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) #s(literal -1/8 binary64) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) t) (*.f64 (/.f64 (*.f64 (*.f64 Om Om) l) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc)) (fma.f64 (/.f64 #s(literal -1/8 binary64) t) (/.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) l) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 Omc #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) #s(literal -1/16 binary64) (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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))) (* 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 4 binary64)) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 4 binary64)) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 (pow.f64 Om #s(literal 6 binary64)) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) l)))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Om Om)) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 Om #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Omc #s(literal 4 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))) |
(+ (* -1/2 (/ (* (pow Om 2) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 4))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (pow Omc 6))) (/ (sqrt 1/2) t))))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (*.f64 Om Om)) (*.f64 Omc Omc)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 Om #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64))))) (fma.f64 (/.f64 (*.f64 (pow.f64 Om #s(literal 6 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (pow.f64 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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)))))))))) |
(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 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om 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))))))))))) |
(+.f64 (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 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))) (*.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (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 (/.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 Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2)))))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 (*.f64 (*.f64 l Om) (*.f64 l Om)) (-.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)))))) Omc) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) (*.f64 l l)) (-.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 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 (-.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))))) (*.f64 l l)))) |
(+ (* -1/2 (/ (* (pow Om 2) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 4))) (+ (* -1/16 (/ (* (pow Om 6) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))) (pow Omc 6))) (* (pow l 2) (- (/ (sqrt 1/2) (* (pow l 2) t)) (* 1/8 (/ 1 (* (pow t 3) (sqrt 1/2))))))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 (*.f64 (*.f64 l Om) (*.f64 l Om)) (-.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)))))) Omc) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) (*.f64 l l)) (-.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 Omc #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 6 binary64)) (*.f64 l l)) (-.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 Omc #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 (-.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))))) (*.f64 l l))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 910 |
| 0 | 160 | 862 |
| 1 | 557 | 832 |
| 2 | 4481 | 832 |
| 0 | 8994 | 806 |
| 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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) 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 (/.f64 t l) #s(literal 2 binary64)) 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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64)))) |
#s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/2 binary64) Omc) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l)) |
(*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l) |
#s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) |
(asin.f64 (sqrt.f64 (/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #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 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (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 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)) |
(*.f64 (/.f64 Om Omc) Om) |
(/.f64 Om (*.f64 Omc Omc)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
#s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l)) |
(*.f64 (*.f64 l l) t) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
| Outputs |
|---|
(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)))))) |
(/.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))))) (/.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(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))))) (/.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 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.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(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.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(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/.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 (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)))))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/.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 (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))))) |
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(/.f64 (*.f64 Om #s(literal 1 binary64)) (*.f64 Omc Omc)) |
(/.f64 (/.f64 (neg.f64 Om) Omc) (neg.f64 Omc)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 Omc (/.f64 Omc Om)))) |
(/.f64 (neg.f64 Om) (*.f64 (neg.f64 Omc) Omc)) |
(/.f64 (/.f64 Om Omc) Omc) |
(/.f64 Om (*.f64 Omc Omc)) |
(/.f64 #s(literal 1 binary64) (/.f64 Omc (/.f64 Om Omc))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 Omc (/.f64 Omc Om)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 Omc (/.f64 Omc Om))) |
(neg.f64 (/.f64 (neg.f64 Om) (*.f64 Omc Omc))) |
(neg.f64 (/.f64 Om (*.f64 (neg.f64 Omc) Omc))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 Omc) Omc)) (/.f64 Om (*.f64 (neg.f64 Omc) Omc))) |
(exp.f64 (*.f64 (log.f64 (*.f64 Omc (/.f64 Omc Om))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(*.f64 l (sqrt.f64 #s(literal 1/2 binary64))) |
#s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 l l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) l)) l) |
(*.f64 (*.f64 #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (*.f64 l l)) |
(*.f64 #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (*.f64 l l))) |
(*.f64 (*.f64 l l) (*.f64 #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (*.f64 #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 l l))) |
(*.f64 l (*.f64 #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (*.f64 (/.f64 (pow.f64 l #s(literal -2 binary64)) t) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) l))) |
(*.f64 (*.f64 l t) l) |
(*.f64 (*.f64 l l) t) |
(*.f64 l (*.f64 l t)) |
(*.f64 t (*.f64 l l)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) Om) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 Om Om)) #s(literal 1 binary64)) (pow.f64 (pow.f64 Omc #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 Om) Om) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 Omc) Omc) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 Omc #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 Om Om)) |
(*.f64 (pow.f64 (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64)) (pow.f64 Omc #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64)) Om) |
(*.f64 (pow.f64 (neg.f64 Om) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 Omc) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) Om) (/.f64 (/.f64 Om Omc) Omc)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 Om Om)) (pow.f64 Omc #s(literal -2 binary64))) |
(*.f64 (pow.f64 Omc #s(literal -1 binary64)) (*.f64 (/.f64 Om Omc) Om)) |
(*.f64 (pow.f64 Omc #s(literal -2 binary64)) (pow.f64 (pow.f64 Om #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 Omc #s(literal -2 binary64)) (*.f64 Om Om)) |
(*.f64 (*.f64 (neg.f64 Om) Om) (pow.f64 (*.f64 (neg.f64 Omc) Omc) #s(literal -1 binary64))) |
(*.f64 (*.f64 Om Om) (pow.f64 (pow.f64 Omc #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal -2 binary64))) |
(*.f64 (/.f64 (/.f64 Om Omc) Omc) Om) |
(*.f64 (*.f64 (/.f64 Om Omc) Om) (pow.f64 Omc #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(*.f64 Om (pow.f64 (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))) |
(*.f64 Om (/.f64 (/.f64 Om Omc) Omc)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 Om) Omc) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 Om Omc))) |
(pow.f64 (/.f64 Omc (*.f64 (/.f64 Om Omc) Om)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 Omc Om) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 Om Omc) (neg.f64 Om)) (neg.f64 Omc)) |
(/.f64 (*.f64 (neg.f64 Om) (/.f64 Om Omc)) (neg.f64 Omc)) |
(/.f64 (*.f64 (/.f64 Om Omc) #s(literal 1 binary64)) (/.f64 Omc Om)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 Om) Om)) (neg.f64 (*.f64 (neg.f64 Omc) Omc))) |
(/.f64 (neg.f64 (*.f64 (/.f64 Om Omc) Om)) (neg.f64 Omc)) |
(/.f64 (pow.f64 (neg.f64 Om) #s(literal 2 binary64)) (pow.f64 (neg.f64 Omc) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 Om) #s(literal 1 binary64)) (*.f64 (neg.f64 Omc) (/.f64 Omc Om))) |
(/.f64 (*.f64 Om #s(literal 1 binary64)) (*.f64 Omc (/.f64 Omc Om))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 Om)) (*.f64 (/.f64 Omc Om) (neg.f64 Omc))) |
(/.f64 (*.f64 #s(literal 1 binary64) Om) (*.f64 (/.f64 Omc Om) Omc)) |
(/.f64 (*.f64 (*.f64 Om Om) #s(literal 1 binary64)) (*.f64 Omc Omc)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) Om)) (*.f64 (neg.f64 Omc) Omc)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 Om Om)) (*.f64 Omc Omc)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) Om)) Omc) |
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 (neg.f64 Omc) Omc)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64)))) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc) |
(/.f64 (/.f64 Om Omc) (/.f64 Omc Om)) |
(/.f64 Om (*.f64 Omc (/.f64 Omc Om))) |
(/.f64 #s(literal 1 binary64) (/.f64 Omc (*.f64 (/.f64 Om Omc) Om))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 Om) #s(literal 2 binary64)) (*.f64 (log.f64 Omc) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
Compiled 44 137 to 4 143 computations (90.6% saved)
25 alts after pruning (20 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 681 | 2 | 683 |
| Fresh | 1 | 18 | 19 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 683 | 25 | 708 |
| Status | Accuracy | Program |
|---|---|---|
| 51.6% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 52.1% | (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))))))) | |
| 65.1% | (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))))))) | |
| 51.2% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) | |
| 50.8% | (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) | |
| 52.6% | (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))))) | |
| 50.8% | (/.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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) | |
| 78.0% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) | |
| ✓ | 60.9% | (asin.f64 (sqrt.f64 (/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
| 71.7% | (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)))))) | |
| 51.2% | (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)))))) | |
| ✓ | 49.0% | (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))))) |
| 72.3% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) | |
| 23.6% | (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)))))) | |
| 63.1% | (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))))))) | |
| 47.2% | (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 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)))))) | |
| ✓ | 84.6% | (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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))) |
| 48.6% | (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))))))) | |
| 47.8% | (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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) | |
| 45.4% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) l)) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) | |
| 45.8% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) | |
| ✓ | 19.0% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l))) |
| ✓ | 50.8% | (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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))))) |
| 47.8% | (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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) t)))) | |
| 47.7% | (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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))))) |
Compiled 3 299 to 1 109 computations (66.4% saved)
| Inputs |
|---|
(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 (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 (/.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 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) 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)) (/.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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) l)) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 l (*.f64 t t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t)))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))))) |
(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))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) l) l))))) |
(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))))) (*.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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) 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 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t t)))) (pow.f64 t #s(literal 3 binary64)))) l))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.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)))))) (*.f64 l l))) l))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (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))))) |
(asin.f64 (sqrt.f64 (/.f64 (*.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) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 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 (*.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) (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 (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))) |
(/.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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 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))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (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 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal -4 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 (*.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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))) |
14 calls:
| 46.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 23.0ms | Om |
| 16.0ms | (/.f64 Om Omc) |
| 14.0ms | (/.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))))) |
| 13.0ms | (/.f64 t l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 2 | t |
| 89.2% | 2 | l |
| 87.2% | 1 | Om |
| 87.2% | 1 | Omc |
| 98.5% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 98.5% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 98.5% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 87.2% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 87.2% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 87.2% | 1 | (/.f64 Om Omc) |
| 98.5% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 98.5% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 98.5% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 98.5% | 2 | (/.f64 t l) |
Compiled 97 to 112 computations (-15.5% saved)
| Inputs |
|---|
(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 (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 (/.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 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) 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)) (/.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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) l)) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 l (*.f64 t t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t)))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))))) |
(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))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) l) l))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))) |
7 calls:
| 9.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 9.0ms | (/.f64 t l) |
| 9.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 8.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 8.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 98.5% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 98.5% | 2 | (/.f64 t l) |
| 98.5% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 98.5% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 98.5% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 98.5% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 (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 (/.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 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) 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)) (/.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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) l)) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 l (*.f64 t t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) t)))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (+ (* -1/2 (* (/ Om Omc) (/ Om Omc))) 1) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))))) |
(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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))) |
7 calls:
| 10.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 10.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 8.0ms | (/.f64 t l) |
| 8.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 8.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 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))))))) |
| 98.1% | 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)))))) |
| 98.1% | 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))))) |
| 98.1% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 98.1% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 98.1% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 98.1% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 (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 (/.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 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) 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)) (/.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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) l)) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(approx (+ (/ (sqrt 1/2) (* (* l l) t)) (/ -1/8 (* (sqrt 1/2) (pow t 3)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 l l) t)))) (*.f64 l l))) l))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))) |
7 calls:
| 8.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 8.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 7.0ms | (/.f64 t l) |
| 6.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 6.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 98.5% | 3 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 98.5% | 3 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 98.5% | 3 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 98.5% | 3 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 98.5% | 3 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 98.5% | 3 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 (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 (/.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 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) 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)) (/.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))))))) |
| 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) #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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))) |
7 calls:
| 10.0ms | (/.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))))) |
| 6.0ms | (/.f64 t l) |
| 5.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 5.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 5.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 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))))))) |
| 96.8% | 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)))))) |
| 96.8% | 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))))) |
| 96.8% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 96.8% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 96.8% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 96.8% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 (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 (/.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 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) 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)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))))) |
| 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)) #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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))) |
7 calls:
| 7.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 5.0ms | (/.f64 t l) |
| 5.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 5.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 5.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 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))))))) |
| 96.8% | 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)))))) |
| 96.8% | 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))))) |
| 96.8% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 96.8% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 96.8% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 96.8% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 (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 (/.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 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 #s(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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) |
7 calls:
| 6.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 5.0ms | (/.f64 t l) |
| 5.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 5.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 5.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 96.4% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 96.4% | 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))))) |
| 96.4% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 96.4% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 96.4% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 96.4% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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 (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 (/.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 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
| 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))))) (*.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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))))) |
7 calls:
| 23.0ms | (/.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 | (/.f64 t l) |
| 4.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 4.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 4.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 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))))))) |
| 96.2% | 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)))))) |
| 96.2% | 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))))) |
| 96.2% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 96.2% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 96.2% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 96.2% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (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))))) |
| 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))))) (*.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:
| 9.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 4.0ms | (/.f64 t l) |
| 3.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 3.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 3.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 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))))))) |
| 96.2% | 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)))))) |
| 96.2% | 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))))) |
| 96.2% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 96.2% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 96.2% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 96.2% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))) t)))) |
| 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) t)))) |
7 calls:
| 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))))))) |
| 3.0ms | (/.f64 t l) |
| 3.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 3.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 3.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 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))))))) |
| 96.2% | 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)))))) |
| 96.2% | 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))))) |
| 96.2% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 96.2% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 96.2% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 96.2% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (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)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
14 calls:
| 5.0ms | l |
| 3.0ms | t |
| 3.0ms | Omc |
| 3.0ms | Om |
| 3.0ms | (/.f64 t l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.3% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 72.3% | 1 | Om |
| 72.3% | 1 | Omc |
| 72.3% | 1 | (/.f64 Om Omc) |
| 72.3% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 78.3% | 2 | t |
| 78.3% | 2 | l |
| 76.4% | 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))))))) |
| 76.4% | 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)))))) |
| 76.4% | 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))))) |
| 76.7% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 76.7% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 76.7% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 76.7% | 2 | (/.f64 t l) |
Compiled 97 to 112 computations (-15.5% saved)
| Inputs |
|---|
(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
3 calls:
| 11.0ms | t |
| 3.0ms | l |
| 2.0ms | (/.f64 t l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 2 | (/.f64 t l) |
| 72.3% | 1 | l |
| 76.1% | 2 | t |
Compiled 5 to 13 computations (-160% saved)
| Inputs |
|---|
(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
| 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)))))) |
14 calls:
| 3.0ms | t |
| 2.0ms | Om |
| 2.0ms | Omc |
| 2.0ms | l |
| 2.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 51.2% | 1 | (/.f64 Om Omc) |
| 51.2% | 1 | l |
| 51.2% | 1 | Omc |
| 51.2% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 51.2% | 1 | Om |
| 51.2% | 1 | t |
| 51.2% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 51.2% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 51.2% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 51.2% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 51.2% | 1 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 51.2% | 1 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 51.2% | 1 | (/.f64 t l) |
Compiled 97 to 112 computations (-15.5% saved)
Total -3.3b remaining (-10.3%)
Threshold costs -3.3b (-10.3%)
| Inputs |
|---|
(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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 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))) #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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))))) |
14 calls:
| 3.0ms | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 2.0ms | Omc |
| 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 | l |
| 2.0ms | Om |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 1 | t |
| 50.8% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 50.8% | 1 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 50.8% | 1 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 50.8% | 1 | (/.f64 t l) |
| 50.8% | 1 | Omc |
| 50.8% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 50.8% | 1 | l |
| 50.8% | 1 | (/.f64 Om Omc) |
| 50.8% | 1 | Om |
| 50.8% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 50.8% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 50.8% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 50.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
Compiled 97 to 112 computations (-15.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.264651807623583e+35 | 6.379438414637734e+42 |
Compiled 22 to 24 computations (-9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.433927614876101e+28 | 8.817328223827914e+30 |
Compiled 22 to 24 computations (-9.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7560974.656292581 | 8006661498.151444 |
Compiled 22 to 23 computations (-4.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 164832151215654.84 | 2099681907316905.3 |
| 0.0ms | 7.03448568386674e-13 | 2.0278980474669852e-11 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03167835706290756 | 11.71031602682266 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03167835706290756 | 11.71031602682266 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03167835706290756 | 11.71031602682266 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03167835706290756 | 11.71031602682266 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03167835706290756 | 11.71031602682266 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03167835706290756 | 11.71031602682266 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 8.088928156126468e+126 | 5.481402035021133e+130 |
| 2.0ms | 14× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 88 to 73 computations (17% saved)
ival-div: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-pow2: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-asin: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.171608935818737e-5 | 0.0006050190137384864 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 1300 |
| 1 | 272 | 1272 |
| 2 | 472 | 1272 |
| 3 | 946 | 1272 |
| 4 | 2059 | 1272 |
| 5 | 3709 | 1272 |
| 6 | 7587 | 1272 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 399999999999999987453464431671902208 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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)))) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 99999999999999991433150857216 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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)))) |
(if (<=.f64 (/.f64 t l) #s(literal 10000000 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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)))) |
(if (<=.f64 (/.f64 t l) #s(literal 4951760157141521/4951760157141521099596496896 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)))))) (if (<=.f64 (/.f64 t l) #s(literal 200000000000000 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))))) |
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/72057594037927936 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)) (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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)))) |
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/72057594037927936 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 #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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)))) |
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/72057594037927936 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 #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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))))) |
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/72057594037927936 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))))) (*.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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))))) |
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/72057594037927936 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))))) (*.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 3602879701896397/72057594037927936 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) t))))) |
(if (<=.f64 t #s(literal 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328 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)))) (/.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 7378697629483821/147573952589676412928 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))))) |
| Outputs |
|---|
(if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 399999999999999987453464431671902208 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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)))) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 399999999999999987453464431671902208 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 (neg.f64 t) l) #s(literal 2 binary64)) 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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)))) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 99999999999999991433150857216 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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)))) |
(if (<=.f64 (/.f64 t l) #s(literal 10000000 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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)))) |
(if (<=.f64 (/.f64 t l) #s(literal 10000000 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 (/.f64 t l) #s(literal 2 binary64)) l) t #s(literal 1 binary64)) #s(literal -1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)))) |
(if (<=.f64 (/.f64 t l) #s(literal 4951760157141521/4951760157141521099596496896 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)))))) (if (<=.f64 (/.f64 t l) #s(literal 200000000000000 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))))) |
(if (<=.f64 (/.f64 t l) #s(literal 4951760157141521/4951760157141521099596496896 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)))))) (if (<=.f64 (/.f64 t l) #s(literal 200000000000000 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l))))) |
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/72057594037927936 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)) (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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)))) |
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/72057594037927936 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)) (pow.f64 #s(approx (sqrt (+ (* (pow (/ t l) 2) 2) 1)) (fma.f64 (/.f64 t l) (/.f64 t l) #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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)))) |
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/72057594037927936 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 #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 #s(approx (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) l)))) |
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/72057594037927936 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 #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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))))) |
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/72057594037927936 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))))) (*.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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))))) |
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/72057594037927936 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))))) (*.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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l)))))) |
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/72057594037927936 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))))) (*.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 3602879701896397/72057594037927936 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))))) (*.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 3602879701896397/72057594037927936 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) t))))) |
(if (<=.f64 (/.f64 t l) #s(literal 3602879701896397/72057594037927936 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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) t))))) |
(if (<=.f64 t #s(literal 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328 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)))) (/.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 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #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)))) (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 7378697629483821/147573952589676412928 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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 7378697629483821/147573952589676412928 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (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)) (+ (* (/ 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)))) (-.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) (sqrt (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 909 | 9937 |
| 1 | 3138 | 9147 |
| 0 | 8779 | 8708 |
| 0 | 69 | 583 |
| 0 | 120 | 572 |
| 1 | 427 | 546 |
| 2 | 3178 | 546 |
| 0 | 9624 | 531 |
| 0 | 16 | 68 |
| 0 | 26 | 68 |
| 1 | 100 | 68 |
| 2 | 734 | 68 |
| 3 | 7742 | 68 |
| 0 | 9001 | 64 |
| 0 | 1007 | 11915 |
| 1 | 3417 | 10993 |
| 0 | 8067 | 10372 |
| 0 | 390 | 3480 |
| 1 | 1207 | 2950 |
| 2 | 4656 | 2741 |
| 0 | 8195 | 2625 |
| 0 | 91 | 985 |
| 0 | 133 | 933 |
| 1 | 496 | 881 |
| 2 | 3981 | 863 |
| 0 | 8241 | 851 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 012 to 740 computations (63.2% saved)
(abs Om)
(abs Omc)
Compiled 5 094 to 1 980 computations (61.1% saved)
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