
Time bar (total: 12.6s)
| 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)
| 1.2s | 7 271× | 0 | invalid |
| 1.2s | 3 758× | 1 | valid |
| 745.0ms | 4 498× | 0 | valid |
ival-div: 912.0ms (36.6% of total)ival-pow2: 566.0ms (22.7% of total)ival-asin: 276.0ms (11.1% of total)ival-sub: 174.0ms (7% of total)adjust: 159.0ms (6.4% of total)ival-mult: 140.0ms (5.6% of total)ival-sqrt: 125.0ms (5% of total)ival-add: 100.0ms (4% of total)exact: 17.0ms (0.7% of total)ival-true: 14.0ms (0.6% of total)ival-assert: 7.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 52 | 0 | - | 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)))))) |
| 5 | 112 | (-2.7313954131921813e-130 -3.1347556085836666e+303 1.1922186419456983e+54 2.389775743766521e+249) | 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))))))) |
| 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)) |
| 0 | 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))))) |
| 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 | 117 | 1 |
sqrt.f64 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) | uflow-rescue | 52 | 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 | 85 | |
| ↳ | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) | underflow | 75 | |
| ↳ | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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 | 33 | |
| ↳ | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) | underflow | 75 | |
| ↳ | (/.f64 t l) | underflow | 45 | |
| ↳ | (/.f64 Om Omc) | underflow | 59 | |
| ↳ | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | underflow | 141 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 57 | 0 |
| - | 112 | 87 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 57 | 0 | 0 |
| - | 112 | 1 | 86 |
| number | freq |
|---|---|
| 0 | 87 |
| 1 | 169 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 224× | 1 | valid |
| 35.0ms | 288× | 0 | valid |
Compiled 320 to 68 computations (78.8% saved)
ival-div: 18.0ms (28.4% of total)ival-pow2: 14.0ms (22.1% of total)ival-asin: 8.0ms (12.6% of total)ival-sqrt: 6.0ms (9.5% of total)adjust: 5.0ms (7.9% of total)ival-mult: 4.0ms (6.3% of total)ival-sub: 3.0ms (4.7% of total)ival-add: 3.0ms (4.7% of total)ival-true: 1.0ms (1.6% of total)exact: 1.0ms (1.6% 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 |
|---|---|---|
| ▶ | 81.2% | (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 | 0.201503759768442 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) | |
| accuracy | 0.21388627930532605 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | |
| accuracy | 0.3635736118980411 | (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 | 11.679349934524001 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 29.0ms | 112× | 1 | valid |
| 17.0ms | 144× | 0 | valid |
Compiled 200 to 34 computations (83% saved)
ival-div: 8.0ms (26.8% of total)ival-pow2: 7.0ms (23.5% of total)ival-asin: 4.0ms (13.4% of total)adjust: 3.0ms (10.1% of total)ival-sqrt: 3.0ms (10.1% of total)ival-sub: 2.0ms (6.7% of total)ival-add: 2.0ms (6.7% of total)ival-mult: 2.0ms (6.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| Outputs |
|---|
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(/ (pow t 2) (pow l 2)) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(/ (pow Om 2) (pow Omc 2)) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | Om | @ | 0 | ((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2)) |
| 4.0ms | t | @ | inf | ((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2)) |
| 3.0ms | t | @ | 0 | ((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2)) |
| 3.0ms | l | @ | -inf | ((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2)) |
| 3.0ms | l | @ | 0 | ((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ Om Omc) 2) (pow (/ t l) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 390 | 3487 |
| 1 | 1207 | 2957 |
| 2 | 4656 | 2748 |
| 0 | 8195 | 2632 |
| 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))) |
(/ (pow t 2) (pow l 2)) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(/ (pow Om 2) (pow Omc 2)) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (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))) |
(/ (pow t 2) (pow l 2)) |
(*.f64 (/.f64 t l) (/.f64 t l)) |
(* 2 (/ (pow t 2) (pow l 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (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 | 73 |
| 0 | 26 | 73 |
| 1 | 100 | 73 |
| 2 | 734 | 73 |
| 3 | 7742 | 73 |
| 0 | 9001 | 69 |
| 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)) |
(pow.f64 (/.f64 t l) #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)) |
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(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #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)))))) |
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(*.f64 (*.f64 (*.f64 (/.f64 t l) t) #s(literal 1 binary64)) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 t l) (sqrt.f64 (/.f64 t l))) (sqrt.f64 (/.f64 t l))) |
(*.f64 (/.f64 (/.f64 t l) #s(literal 1 binary64)) (/.f64 t l)) |
(*.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (*.f64 (pow.f64 l #s(literal -2 binary64)) t)) |
(*.f64 (/.f64 (/.f64 t l) #s(literal -1 binary64)) (/.f64 (neg.f64 t) l)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 t l)) l) (/.f64 (sqrt.f64 (/.f64 t l)) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 t l) t) #s(literal 1 binary64)) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 t t) #s(literal 1 binary64)) (pow.f64 (pow.f64 l #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 t) l) t) (/.f64 #s(literal -1 binary64) l)) |
(*.f64 (*.f64 (pow.f64 l #s(literal -2 binary64)) t) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (*.f64 (pow.f64 l #s(literal -2 binary64)) t) t) |
(*.f64 (*.f64 (/.f64 t l) t) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 t) l) (/.f64 (/.f64 #s(literal -1 binary64) l) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 t) l) (/.f64 (neg.f64 t) l)) |
(*.f64 (sqrt.f64 (/.f64 t l)) (/.f64 (sqrt.f64 (/.f64 t l)) (/.f64 l t))) |
(*.f64 (sqrt.f64 (/.f64 t l)) (*.f64 (sqrt.f64 (/.f64 t l)) (/.f64 t l))) |
(*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 l) l))) |
(*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 #s(literal -1 binary64) l))) |
(*.f64 (*.f64 t t) (/.f64 #s(literal 1 binary64) (*.f64 l l))) |
(*.f64 (*.f64 t t) (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 2 binary64))) |
(*.f64 (*.f64 t t) (pow.f64 l #s(literal -2 binary64))) |
(*.f64 (pow.f64 l #s(literal -2 binary64)) (/.f64 t (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (pow.f64 l #s(literal -2 binary64)) (*.f64 t t)) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (/.f64 (/.f64 t l) (pow.f64 t #s(literal -1 binary64)))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (/.f64 t l) t)) |
(*.f64 (neg.f64 t) (/.f64 (neg.f64 t) (*.f64 l l))) |
(*.f64 (neg.f64 t) (/.f64 t (*.f64 (neg.f64 l) l))) |
(*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))) |
(*.f64 (neg.f64 t) (/.f64 (/.f64 t l) (neg.f64 l))) |
(*.f64 (neg.f64 t) (*.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 t l))) |
(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l t) (neg.f64 l)))) |
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 t l) (/.f64 t l)) |
(*.f64 t (/.f64 (neg.f64 t) (*.f64 (neg.f64 l) l))) |
(*.f64 t (/.f64 t (*.f64 l l))) |
(*.f64 t (*.f64 t (pow.f64 l #s(literal -2 binary64)))) |
(*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l t) l))) |
(*.f64 t (pow.f64 (*.f64 (pow.f64 l #s(literal -2 binary64)) t) #s(literal 1 binary64))) |
(*.f64 t (*.f64 (pow.f64 l #s(literal -2 binary64)) t)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 t l))) |
(pow.f64 (pow.f64 (/.f64 l t) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 l t) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (/.f64 (neg.f64 t) l) t) #s(literal -1 binary64)) l) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t)) (*.f64 (neg.f64 l) l)) |
(/.f64 (*.f64 (*.f64 (/.f64 t l) t) #s(literal -1 binary64)) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 (/.f64 t l) t) #s(literal 1 binary64)) l) |
(/.f64 (*.f64 (/.f64 t l) #s(literal -1 binary64)) (/.f64 (neg.f64 l) t)) |
(/.f64 (*.f64 (/.f64 (neg.f64 t) l) t) (neg.f64 l)) |
(/.f64 (*.f64 (pow.f64 l #s(literal -2 binary64)) t) (pow.f64 t #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 t l) t) l) |
(/.f64 (/.f64 (neg.f64 t) l) (/.f64 (neg.f64 l) t)) |
(/.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 l) l)) |
(/.f64 (*.f64 t t) (*.f64 l l)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 l t) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 t) (*.f64 (/.f64 l t) (neg.f64 l))) |
(/.f64 (/.f64 t l) (/.f64 l t)) |
(/.f64 t (neg.f64 (*.f64 (/.f64 l t) (neg.f64 l)))) |
(/.f64 t (*.f64 (/.f64 l t) l)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 l) (*.f64 (/.f64 (neg.f64 t) l) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (/.f64 t l) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 l) l) (*.f64 (neg.f64 t) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 l t) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 l t) #s(literal 2 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 t l)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t l)) #s(literal 2 binary64))) |
Compiled 21 945 to 3 075 computations (86% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 598 | 16 | 614 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 599 | 16 | 615 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.3% | (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))))))) |
| 48.7% | (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))))))) | |
| 63.8% | (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))) | |
| 63.9% | (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))) | |
| ▶ | 81.2% | (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))))) |
| 79.0% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 t l) t) l)))))) | |
| 79.0% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) | |
| ▶ | 78.9% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))))))) |
| ▶ | 48.1% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) |
| 73.4% | (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))))))) | |
| 57.2% | (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))))) | |
| ▶ | 45.5% | (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))))) |
| 72.0% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) | |
| 72.3% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) | |
| 49.8% | (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)))))) | |
| 47.4% | (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 1 040 to 732 computations (29.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (cbrt.f64 (PI.f64)) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) | |
| cost-diff | 19584 | (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))))))) | |
| 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) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))))))) | |
| 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) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))))))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))))) | |
| cost-diff | 576 | (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)) | |
| 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))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) | |
| cost-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 | 59 | 583 |
| 0 | 103 | 564 |
| 1 | 173 | 549 |
| 2 | 337 | 547 |
| 3 | 814 | 525 |
| 4 | 1894 | 525 |
| 5 | 3591 | 525 |
| 6 | 5649 | 525 |
| 7 | 7301 | 525 |
| 0 | 8104 | 519 |
| 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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 2 binary64) |
#s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))) |
(*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))) |
(neg.f64 t) |
t |
(/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)) |
(/.f64 #s(literal -1 binary64) l) |
#s(literal -1 binary64) |
l |
(/.f64 l t) |
(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))))))) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
t |
l |
#s(literal -1 binary64) |
| Outputs |
|---|
(asin.f64 (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 (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))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #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 (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) |
(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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 2 binary64) |
#s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))))))) |
(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) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))))))) |
(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) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))))) |
(/.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) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))))) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))) |
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
(neg.f64 t) |
t |
(/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)) |
(/.f64 (/.f64 (neg.f64 t) l) l) |
(/.f64 #s(literal -1 binary64) l) |
#s(literal -1 binary64) |
l |
(/.f64 l t) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (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)))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
t |
l |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (cbrt.f64 (PI.f64)) | |
| accuracy | 11.679349934524001 | (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) | |
| accuracy | 26.14696254861981 | (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) | |
| accuracy | 31.178360904989834 | (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))))))) | |
| accuracy | 0.21388627930532605 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | |
| accuracy | 0.3635736118980411 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))))))) | |
| accuracy | 2.864443810951066 | (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))) | |
| accuracy | 11.679349934524001 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))))))) | |
| accuracy | 0.21388627930532605 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | |
| accuracy | 0.3635736118980411 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) | |
| accuracy | 11.679349934524001 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)))) | |
| accuracy | 33.10203372819871 | #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)) | |
| accuracy | 0.3635736118980411 | (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 | 6.8643457962912615 | (/.f64 Om (*.f64 Omc Omc)) | |
| accuracy | 11.679349934524001 | (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 | 33.117367643787134 | #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 | 0.1015625 | (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.21388627930532605 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | |
| accuracy | 0.3635736118980411 | (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 | 11.679349934524001 | (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)))) |
| 173.0ms | 110× | 2 | valid |
| 164.0ms | 134× | 1 | valid |
| 5.0ms | 12× | 0 | valid |
Compiled 1 142 to 116 computations (89.8% saved)
ival-div: 88.0ms (31.1% of total)adjust: 63.0ms (22.3% of total)ival-mult: 31.0ms (11% of total)ival-pow2: 19.0ms (6.7% of total)ival-sqrt: 18.0ms (6.4% of total)ival-asin: 15.0ms (5.3% of total)ival-acos: 14.0ms (5% of total)ival-add: 14.0ms (5% of total)ival-sub: 7.0ms (2.5% of total)ival-neg: 5.0ms (1.8% of total)ival-cbrt: 5.0ms (1.8% of total)ival-pi: 2.0ms (0.7% of total)exact: 1.0ms (0.4% 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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))))))) |
(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))))))) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(PI.f64) |
(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 Om (*.f64 Omc Omc)) |
#s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(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 (/ t (pow l 2))) |
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(/ (pow t 2) (pow l 2)) |
(acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2))))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow l 6) (pow (sqrt -1) 2)))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 6) (pow (sqrt -1) 4))))) (+ (* -8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 6))) (/ 1 (* (pow l 6) (pow (sqrt -1) 4)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/2 (* (/ (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1)))))))))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(- (* 1/2 (PI)) (acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t) |
(* -1 (* (/ (* l (sqrt 1/2)) 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) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(* -1 (/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* (/ (* l (sqrt -1/2)) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(* l (+ (* 1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2)))) (* -1/16 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 8)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))))))))) |
(+ (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))))) |
(+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* -1 (/ (* (pow t 2) (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow l 6) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(+ (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) |
(/ (pow Om 2) (pow Omc 2)) |
(/ Om (pow Omc 2)) |
(* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/16 (* (/ (pow Om 2) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2)))) |
(* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))) |
(/ (+ (* 1/2 (* (/ (pow 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 Omc 2) Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/8 (* (/ (pow Omc 2) (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/16 (* (/ (pow Omc 2) (pow Om 5)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/16 (* (/ (pow Om 6) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | 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 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ (/ -1 l) (/ l t)) (+ 1 (* 2 (* (neg t) (/ (/ -1 l) (/ l t))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (neg t) (/ (/ -1 l) (/ l t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (neg t) (/ (/ -1 l) (/ l t))))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (pow (/ Om Omc) 2) (+ (* (/ t l) (* (/ t l) 2)) 1) (/ Om (* Omc Omc)) (+ 1 (* 2 (pow (/ t l) 2))) (* (neg t) (/ (/ -1 l) (/ l t))) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) |
| 6.0ms | Om | @ | inf | ((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 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ (/ -1 l) (/ l t)) (+ 1 (* 2 (* (neg t) (/ (/ -1 l) (/ l t))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (neg t) (/ (/ -1 l) (/ l t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (neg t) (/ (/ -1 l) (/ l t))))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (pow (/ Om Omc) 2) (+ (* (/ t l) (* (/ t l) 2)) 1) (/ Om (* Omc Omc)) (+ 1 (* 2 (pow (/ t l) 2))) (* (neg t) (/ (/ -1 l) (/ l t))) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) |
| 4.0ms | t | @ | 0 | ((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 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ (/ -1 l) (/ l t)) (+ 1 (* 2 (* (neg t) (/ (/ -1 l) (/ l t))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (neg t) (/ (/ -1 l) (/ l t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (neg t) (/ (/ -1 l) (/ l t))))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (pow (/ Om Omc) 2) (+ (* (/ t l) (* (/ t l) 2)) 1) (/ Om (* Omc Omc)) (+ 1 (* 2 (pow (/ t l) 2))) (* (neg t) (/ (/ -1 l) (/ l t))) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) |
| 4.0ms | t | @ | -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 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ (/ -1 l) (/ l t)) (+ 1 (* 2 (* (neg t) (/ (/ -1 l) (/ l t))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (neg t) (/ (/ -1 l) (/ l t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (neg t) (/ (/ -1 l) (/ l t))))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (pow (/ Om Omc) 2) (+ (* (/ t l) (* (/ t l) 2)) 1) (/ Om (* Omc Omc)) (+ 1 (* 2 (pow (/ t l) 2))) (* (neg t) (/ (/ -1 l) (/ l t))) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) |
| 4.0ms | l | @ | 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 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ (/ -1 l) (/ l t)) (+ 1 (* 2 (* (neg t) (/ (/ -1 l) (/ l t))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (neg t) (/ (/ -1 l) (/ l t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (* (neg t) (/ (/ -1 l) (/ l t))))))) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (pow (/ Om Omc) 2) (+ (* (/ t l) (* (/ t l) 2)) 1) (/ Om (* Omc Omc)) (+ 1 (* 2 (pow (/ t l) 2))) (* (neg t) (/ (/ -1 l) (/ l t))) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 669 | 6416 |
| 1 | 2107 | 5325 |
| 0 | 8188 | 5023 |
| 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 (/ t (pow l 2))) |
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(/ (pow t 2) (pow l 2)) |
(acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2))))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow l 6) (pow (sqrt -1) 2)))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 6) (pow (sqrt -1) 4))))) (+ (* -8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 6))) (/ 1 (* (pow l 6) (pow (sqrt -1) 4)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/2 (* (/ (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1)))))))))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(- (* 1/2 (PI)) (acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t) |
(* -1 (* (/ (* l (sqrt 1/2)) 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) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(* -1 (/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* (/ (* l (sqrt -1/2)) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(* l (+ (* 1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2)))) (* -1/16 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 8)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))))))))) |
(+ (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))))) |
(+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* -1 (/ (* (pow t 2) (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow l 6) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(+ (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) |
(/ (pow Om 2) (pow Omc 2)) |
(/ Om (pow Omc 2)) |
(* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/16 (* (/ (pow Om 2) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2)))) |
(* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))) |
(/ (+ (* 1/2 (* (/ (pow 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 Omc 2) Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/8 (* (/ (pow Omc 2) (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/16 (* (/ (pow Omc 2) (pow Om 5)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/16 (* (/ (pow Om 6) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
| Outputs |
|---|
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (-.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 8 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64))) (neg.f64 (*.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))))) |
(- 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 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 (/.f64 t l) (/.f64 t 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 #s(literal 4 binary64) (*.f64 t t)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -8 binary64) (*.f64 t t)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))))) (*.f64 t t) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(* -1 (/ t (pow l 2))) |
(/.f64 (/.f64 (neg.f64 t) l) l) |
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)) |
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))) |
(/ (pow t 2) (pow l 2)) |
(*.f64 (/.f64 t l) (/.f64 t l)) |
(acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))) |
(* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (fma.f64 (/.f64 t (sqrt.f64 #s(literal -1 binary64))) (/.f64 t (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2))))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 Om (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 Om Omc) Omc) (/.f64 (*.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (fma.f64 (/.f64 t (sqrt.f64 #s(literal -1 binary64))) (/.f64 t (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow l 6) (pow (sqrt -1) 2)))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 6) (pow (sqrt -1) 4))))) (+ (* -8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 6))) (/ 1 (* (pow l 6) (pow (sqrt -1) 4)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/2 (* (/ (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1)))))))))) |
(fma.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (fma.f64 (/.f64 t (sqrt.f64 #s(literal -1 binary64))) (/.f64 t (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))) (fma.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 6 binary64))) (/.f64 (*.f64 Om Om) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 6 binary64))) (*.f64 Omc Omc)))) (fma.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 6 binary64))) #s(literal -8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 l #s(literal 6 binary64))))) (/.f64 (*.f64 t t) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (/.f64 Om (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 Om Omc) Omc) (/.f64 (*.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64)))))))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) l (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t)))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (/.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/2 binary64))) #s(literal 1/64 binary64))) (*.f64 (*.f64 l (pow.f64 t #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) l (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
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(* (/ (* l (sqrt -1/2)) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
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(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
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(+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 l #s(literal 4 binary64))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (fma.f64 (/.f64 t (sqrt.f64 #s(literal -1 binary64))) (/.f64 t (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* -1 (/ (* (pow t 2) (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow l 6) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) #s(literal -8 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 t t)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 l #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 l #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (fma.f64 (/.f64 t (sqrt.f64 #s(literal -1 binary64))) (/.f64 t (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 Om (/.f64 Om (pow.f64 Omc #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 Om Om) (*.f64 Om Om)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (*.f64 Om (/.f64 Om (pow.f64 Omc #s(literal 6 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 4 binary64))))))) |
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(+ 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) |
(/ (pow Om 2) (pow Omc 2)) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/ Om (pow Omc 2)) |
(/.f64 (/.f64 Om Omc) Omc) |
(* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 Om Omc) Omc)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 Om (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 Om (pow.f64 Omc #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) Omc)))) (*.f64 Om Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/16 (* (/ (pow Om 2) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 Om Omc) Omc)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 Om Om) (*.f64 Om Om)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 Om (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 Om (pow.f64 Omc #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #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 (/.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 (/ (pow Om 2) (pow Omc 2))) |
(/.f64 (/.f64 (*.f64 (neg.f64 Om) Om) Omc) Omc) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)) |
(* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (/.f64 Om Omc)) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc))) Om) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (pow.f64 Om #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Omc)) Om) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (pow.f64 Om #s(literal 6 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc)))) Om) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (*.f64 (neg.f64 Om) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #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)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))) (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 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) (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 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) (neg.f64 Om)) |
(* -1 (* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(*.f64 (/.f64 (neg.f64 Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc))) (neg.f64 Om)) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (pow.f64 Om #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Omc)) (neg.f64 Om)) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (pow.f64 Om #s(literal 6 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc)))) (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 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) Om (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 Omc Omc) Om)) (sqrt.f64 #s(literal -1 binary64))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.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))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) Om (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 Omc Omc) Om)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 Omc Omc) (*.f64 Omc Omc)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 Omc (pow.f64 Om #s(literal 5 binary64))) (/.f64 Omc (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/.f64 (-.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)) |
(/ (- (pow Omc 2) (pow Om 2)) (pow Omc 2)) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(/ (+ (* -1/2 (* (/ (pow Omc 2) Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) Omc) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Omc Omc) Om) Om)) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/8 (* (/ (pow Omc 2) (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 Omc (/.f64 Omc (pow.f64 Om #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) Om))) (*.f64 Omc Omc) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Om)) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/16 (* (/ (pow Omc 2) (pow Om 5)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) Omc) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Omc Omc) Om) Om) (*.f64 (*.f64 (*.f64 Omc Omc) (*.f64 Omc Omc)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (*.f64 Omc (/.f64 Omc (pow.f64 Om #s(literal 5 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 3 binary64))))))) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 Om Om)) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (pow.f64 Omc #s(literal 4 binary64)))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 Omc #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 Om Omc) Omc)) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/16 (* (/ (pow Om 6) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 Om Omc) Omc)) (sqrt.f64 #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 -1/8 binary64) (/.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Om #s(literal 6 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Omc #s(literal 6 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 389 |
| 0 | 103 | 364 |
| 1 | 378 | 348 |
| 2 | 2854 | 348 |
| 0 | 8815 | 333 |
| 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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))))))) |
(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))))))) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(PI.f64) |
(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 Om (*.f64 Omc Omc)) |
#s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))) |
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(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal -8 binary64) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal -8 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64)))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #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))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #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))) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #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))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #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)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64)))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #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 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #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)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 l t) #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))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #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))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #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))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
Compiled 43 480 to 5 284 computations (87.8% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 111 | 15 | 1 126 |
| Fresh | 9 | 2 | 11 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 124 | 18 | 1 142 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.0% | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))) |
| 49.5% | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) #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))))))) | |
| 47.0% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) #s(literal 3 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) #s(literal 3 binary64)))))))) | |
| 48.3% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) | |
| 43.3% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) | |
| 47.1% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) | |
| 48.7% | (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 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))))) | |
| 47.4% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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)))))))) | |
| ▶ | 79.0% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64))))) |
| ▶ | 73.4% | (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))))) |
| 71.1% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))))))) | |
| 45.7% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 (/.f64 t l) (/.f64 t l))) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) | |
| 72.0% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) | |
| ▶ | 48.1% | (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)))))) |
| ✓ | 45.5% | (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))))) |
| 52.1% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) | |
| 49.8% | (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)))))) | |
| ▶ | 47.4% | (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 1 701 to 964 computations (43.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) | |
| cost-diff | 1600 | (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) | |
| cost-diff | 19584 | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))) | |
| 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 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) | |
| cost-diff | 0 | (/.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))) | |
| cost-diff | 0 | (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)))) | |
| cost-diff | 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))))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) | |
| cost-diff | 0 | (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))))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) | |
| 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 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #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 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #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 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 725 |
| 0 | 137 | 668 |
| 1 | 233 | 662 |
| 2 | 426 | 662 |
| 3 | 949 | 662 |
| 4 | 2480 | 649 |
| 5 | 3852 | 649 |
| 6 | 5781 | 649 |
| 0 | 8205 | 647 |
| 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 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #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 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64)) |
t |
(/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) |
(*.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
l |
(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)))))) |
(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))))) |
#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)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/.f64 Om Omc) |
Om |
Omc |
(asin.f64 (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))))) |
(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)))) |
(/.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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(*.f64 Om Om) |
Om |
(*.f64 Omc Omc) |
Omc |
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 t l) |
t |
l |
(*.f64 (/.f64 t l) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(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) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))) |
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) |
(cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(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)))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
t |
l |
#s(literal -1 binary64) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 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 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #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 #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 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
t |
(/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) |
(*.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
l |
(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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
(asin.f64 (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 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))) |
(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)))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.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 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(*.f64 Om Om) |
Om |
(*.f64 Omc Omc) |
Omc |
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(/.f64 t l) |
t |
l |
(*.f64 (/.f64 t l) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(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 (/.f64 l t) (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 (/.f64 l t) (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 (/.f64 l t) (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) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))))) |
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) |
(cbrt.f64 (PI.f64)) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(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)))))) |
(neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (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)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#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 -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (cbrt.f64 (PI.f64)) | |
| accuracy | 11.679349934524001 | (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) | |
| accuracy | 26.14696254861981 | (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) | |
| accuracy | 31.178360904989834 | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))) | |
| accuracy | 3.7141849048681475 | (/.f64 l (pow.f64 t #s(literal 3 binary64))) | |
| accuracy | 4.242349799000773 | (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) | |
| accuracy | 6.8643457962912615 | (/.f64 Om (*.f64 Omc Omc)) | |
| accuracy | 29.961142350837633 | #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 | 0.1015625 | (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.3635736118980411 | (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))))) | |
| accuracy | 11.679349934524001 | (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)))) | |
| accuracy | 15.222134244010467 | (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) | |
| accuracy | 0.21388627930532605 | (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) | |
| accuracy | 0.3635736118980411 | (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)))))) | |
| accuracy | 11.679349934524001 | (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))))) | |
| accuracy | 33.117367643787134 | #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)))) | |
| accuracy | 0.21388627930532605 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | |
| accuracy | 0.3635736118980411 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64))))) | |
| accuracy | 1.4095679272063713 | (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64)) | |
| accuracy | 11.679349934524001 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64)))) |
| 178.0ms | 110× | 2 | valid |
| 170.0ms | 134× | 1 | valid |
| 6.0ms | 12× | 0 | valid |
Compiled 1 390 to 154 computations (88.9% saved)
ival-mult: 52.0ms (18.3% of total)ival-div: 47.0ms (16.5% of total)adjust: 36.0ms (12.7% of total)ival-asin: 34.0ms (12% of total)ival-sqrt: 28.0ms (9.9% of total)ival-pow2: 18.0ms (6.3% of total)ival-add: 17.0ms (6% of total)ival-cbrt: 17.0ms (6% of total)ival-acos: 14.0ms (4.9% of total)ival-sub: 11.0ms (3.9% of total)ival-neg: 4.0ms (1.4% of total)ival-pow: 4.0ms (1.4% of total)ival-pi: 2.0ms (0.7% of total)exact: 1.0ms (0.4% 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 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(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))))) |
#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)))) |
(-.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))))) |
(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)))) |
(/.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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) |
(*.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))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) |
(cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) |
(fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 Om (*.f64 Omc Omc)) |
(*.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))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(cbrt.f64 (PI.f64)) |
| 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))) |
(* -1/8 (* (/ (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)) |
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(/ (pow l 2) (* (pow t 3) (sqrt 1/2))) |
(/ l (pow t 3)) |
(acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2))))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow l 6) (pow (sqrt -1) 2)))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 6) (pow (sqrt -1) 4))))) (+ (* -8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 6))) (/ 1 (* (pow l 6) (pow (sqrt -1) 4)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/2 (* (/ (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1)))))))))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(* (/ (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) |
(- (* 1/2 (PI)) (acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t) |
(* -1 (* (/ (* l (sqrt 1/2)) 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 (* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(* -1 (/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(+ (* -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))))))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* (/ (* l (sqrt -1/2)) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(* l (+ (* 1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2)))) (* -1/16 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 8)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(* (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 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* -1 (/ (* (pow t 2) (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow l 6) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(* -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)))) |
(* 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))) (* 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 Om 2) (pow Omc 2)) |
(/ Om (pow Omc 2)) |
(* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/16 (* (/ (pow Om 2) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2)))) |
(/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))) |
(/ (* Om (* (sqrt -1) (+ (* -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 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* 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 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))) |
(/ (+ (* 1/2 (* (/ (pow 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 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) Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/8 (* (/ (pow Omc 2) (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/16 (* (/ (pow Omc 2) (pow Om 5)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/2 (/ (* (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))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/16 (* (/ (pow Om 6) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | l | @ | 0 | ((asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* t (/ (* (/ t l) 2) l)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* t (/ (* (/ t l) 2) l)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* t (/ (* (/ t l) 2) l)) 1)) (- 1 (pow (/ Om Omc) 2)) (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 (* (/ Om Omc) (/ Om Omc))) (asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (/ (* Om Om) (* Omc Omc))) (* (* (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))) (+ (* (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (* (sqrt (PI)) (sqrt (PI))) (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (cbrt (* (sqrt (PI)) (sqrt (PI)))) (+ (* t (/ (* (/ t l) 2) l)) 1) (pow (/ Om Omc) 2) (* (/ Om Omc) (/ Om Omc)) (/ (* Om Om) (* Omc Omc)) (+ (* (/ t l) (* (/ t l) 2)) 1) (/ Om (* Omc Omc)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ l (pow t 3)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1))) (cbrt (PI))) |
| 8.0ms | t | @ | inf | ((asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* t (/ (* (/ t l) 2) l)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* t (/ (* (/ t l) 2) l)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* t (/ (* (/ t l) 2) l)) 1)) (- 1 (pow (/ Om Omc) 2)) (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 (* (/ Om Omc) (/ Om Omc))) (asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (/ (* Om Om) (* Omc Omc))) (* (* (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))) (+ (* (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (* (sqrt (PI)) (sqrt (PI))) (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (cbrt (* (sqrt (PI)) (sqrt (PI)))) (+ (* t (/ (* (/ t l) 2) l)) 1) (pow (/ Om Omc) 2) (* (/ Om Omc) (/ Om Omc)) (/ (* Om Om) (* Omc Omc)) (+ (* (/ t l) (* (/ t l) 2)) 1) (/ Om (* Omc Omc)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ l (pow t 3)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1))) (cbrt (PI))) |
| 5.0ms | Om | @ | 0 | ((asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* t (/ (* (/ t l) 2) l)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* t (/ (* (/ t l) 2) l)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* t (/ (* (/ t l) 2) l)) 1)) (- 1 (pow (/ Om Omc) 2)) (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 (* (/ Om Omc) (/ Om Omc))) (asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (/ (* Om Om) (* Omc Omc))) (* (* (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))) (+ (* (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (* (sqrt (PI)) (sqrt (PI))) (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (cbrt (* (sqrt (PI)) (sqrt (PI)))) (+ (* t (/ (* (/ t l) 2) l)) 1) (pow (/ Om Omc) 2) (* (/ Om Omc) (/ Om Omc)) (/ (* Om Om) (* Omc Omc)) (+ (* (/ t l) (* (/ t l) 2)) 1) (/ Om (* Omc Omc)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ l (pow t 3)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1))) (cbrt (PI))) |
| 5.0ms | t | @ | 0 | ((asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* t (/ (* (/ t l) 2) l)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* t (/ (* (/ t l) 2) l)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* t (/ (* (/ t l) 2) l)) 1)) (- 1 (pow (/ Om Omc) 2)) (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 (* (/ Om Omc) (/ Om Omc))) (asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (/ (* Om Om) (* Omc Omc))) (* (* (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))) (+ (* (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (* (sqrt (PI)) (sqrt (PI))) (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (cbrt (* (sqrt (PI)) (sqrt (PI)))) (+ (* t (/ (* (/ t l) 2) l)) 1) (pow (/ Om Omc) 2) (* (/ Om Omc) (/ Om Omc)) (/ (* Om Om) (* Omc Omc)) (+ (* (/ t l) (* (/ t l) 2)) 1) (/ Om (* Omc Omc)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ l (pow t 3)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1))) (cbrt (PI))) |
| 5.0ms | t | @ | -inf | ((asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* t (/ (* (/ t l) 2) l)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* t (/ (* (/ t l) 2) l)) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* t (/ (* (/ t l) 2) l)) 1)) (- 1 (pow (/ Om Omc) 2)) (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 (* (/ Om Omc) (/ Om Omc))) (asin (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1))) (/ (- 1 (/ (* Om Om) (* Omc Omc))) (+ (* (/ t l) (* (/ t l) 2)) 1)) (- 1 (/ (* Om Om) (* Omc Omc))) (* (* (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))) (+ (* (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (* (sqrt (PI)) (sqrt (PI))) (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (cbrt (* (sqrt (PI)) (sqrt (PI)))) (+ (* t (/ (* (/ t l) 2) l)) 1) (pow (/ Om Omc) 2) (* (/ Om Omc) (/ Om Omc)) (/ (* Om Om) (* Omc Omc)) (+ (* (/ t l) (* (/ t l) 2)) 1) (/ Om (* Omc Omc)) (* (/ l (pow t 3)) (/ l (sqrt 1/2))) (/ l (pow t 3)) (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1))) (cbrt (PI))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 886 | 9523 |
| 1 | 2969 | 8383 |
| 0 | 8830 | 7918 |
| 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))) |
(* -1/8 (* (/ (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)) |
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(/ (pow l 2) (* (pow t 3) (sqrt 1/2))) |
(/ l (pow t 3)) |
(acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2))))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow l 6) (pow (sqrt -1) 2)))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 6) (pow (sqrt -1) 4))))) (+ (* -8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 6))) (/ 1 (* (pow l 6) (pow (sqrt -1) 4)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/2 (* (/ (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1)))))))))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(* (/ (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) |
(- (* 1/2 (PI)) (acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t) |
(* -1 (* (/ (* l (sqrt 1/2)) 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 (* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(* -1 (/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(+ (* -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))))))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* (/ (* l (sqrt -1/2)) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(* l (+ (* 1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2)))) (* -1/16 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 8)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(* (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 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* -1 (/ (* (pow t 2) (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow l 6) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(* -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)))) |
(* 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))) (* 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 Om 2) (pow Omc 2)) |
(/ Om (pow Omc 2)) |
(* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/16 (* (/ (pow Om 2) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2)))) |
(/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc) |
(* Om (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* Omc (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 2) (sqrt -1)))) (/ (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) Omc))))) |
(/ (* Om (* (sqrt -1) (+ (* -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 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* 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 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))) |
(/ (+ (* 1/2 (* (/ (pow 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 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) Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/8 (* (/ (pow Omc 2) (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/16 (* (/ (pow Omc 2) (pow Om 5)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/2 (/ (* (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))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/16 (* (/ (pow Om 6) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
| Outputs |
|---|
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (-.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64)))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 8 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64))) (neg.f64 (*.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) (*.f64 t t) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
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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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(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
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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)) |
(/ (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))) |
(acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
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(* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
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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)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) l (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t)))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (*.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 (sqrt.f64 #s(literal 1/2 binary64)) l (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) t))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.f64 l (pow.f64 t #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) #s(literal 1/2 binary64)) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 l l)) #s(literal 1/2 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 l #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.f64 l (pow.f64 t #s(literal 6 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (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 (*.f64 l l) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 l #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 t t)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 l #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (*.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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(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
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(/ (+ (* -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 (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) |
(* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(/ (+ (* -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) |
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(- (* 1/2 (PI)) (acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
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(* 2 (/ (pow t 2) (pow l 2))) |
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 #s(literal 2 binary64) l)) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
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(* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
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(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
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(* -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)) |
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(* -1 (* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
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(* -1 (/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t)) |
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(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t)) |
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(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t)) |
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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))))))))))))) |
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (fma.f64 t (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 l l) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/8 binary64))) (*.f64 t t)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 8 binary64))) #s(literal 1/16 binary64))) t) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (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 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 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 #s(literal 1/8 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 4 binary64))) #s(literal -1/4 binary64))) (*.f64 l l))) (*.f64 l l)) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 8 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal 1/8 binary64))) (*.f64 l l) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 4 binary64))) #s(literal -1/4 binary64))) (*.f64 l l) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) #s(literal 1/2 binary64))) (*.f64 l l)) |
(* 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))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l)) |
(* (/ (* l (sqrt -1/2)) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))) |
(* l (+ (* 1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 l (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) t))) l) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (fma.f64 #s(literal -1/32 binary64) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 t #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 6 binary64))))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))))) (*.f64 l l) (*.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))))) l) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2)))) (* -1/16 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 8)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))) (fma.f64 t (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 t #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (fma.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 t #s(literal 8 binary64))) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 t #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 6 binary64)))) (*.f64 t t))))) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))))) (*.f64 l l) (*.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))))) l) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (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))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 t #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (pow.f64 l #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal -3 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (pow.f64 l #s(literal 6 binary64))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(-.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (pow.f64 t #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(* (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 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(literal -1 binary64)))) (pow.f64 l #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (fma.f64 (/.f64 t (sqrt.f64 #s(literal -1 binary64))) (/.f64 t (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* -1 (/ (* (pow t 2) (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow l 6) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) #s(literal -8 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 t t)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 l #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(literal -1 binary64)))) (pow.f64 l #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (fma.f64 (/.f64 t (sqrt.f64 #s(literal -1 binary64))) (/.f64 t (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -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 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 2) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 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 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) (*.f64 Om Om) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(* 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) |
(+ (* -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 #s(literal -1/2 binary64) 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)))) (*.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) 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)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) 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))) (*.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 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 #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)) (*.f64 Omc 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)))) (+ (* (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 #s(literal -1/8 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)) (pow.f64 Omc #s(literal 4 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 #s(literal -1/16 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)) (pow.f64 Omc #s(literal 6 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 Om 2) (pow Omc 2)) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/ Om (pow Omc 2)) |
(/.f64 Om (*.f64 Omc Omc)) |
(* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 Om (*.f64 Omc Omc))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 Om (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 Om (pow.f64 Omc #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) Omc)))) (*.f64 Om Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/16 (* (/ (pow Om 2) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 Om (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 Om (pow.f64 Omc #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (*.f64 Om Om))) (*.f64 Om Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) Om) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #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 (/.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 (/ (pow Om 2) (pow Omc 2))) |
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 Omc Omc)) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)) |
(/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc) |
(/.f64 (*.f64 (*.f64 Om (*.f64 l (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #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) Omc) (*.f64 (/.f64 l (*.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)) (sqrt.f64 #s(literal -1 binary64)))) (/.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 Omc #s(literal 3 binary64))) (*.f64 (/.f64 l (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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #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 (*.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 Omc #s(literal 3 binary64))) (*.f64 (/.f64 l (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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (*.f64 (/.f64 l (pow.f64 Om #s(literal 6 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #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 (*.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) (/.f64 Omc (*.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)) (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)) (sqrt.f64 #s(literal -1 binary64))) 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) (/.f64 Omc (*.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)) (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)) (sqrt.f64 #s(literal -1 binary64))) 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 Om #s(literal 6 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (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) (/.f64 Omc (*.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)) (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)) (sqrt.f64 #s(literal -1 binary64))) Omc)))) Om) |
(* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (/.f64 Om Omc)) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc))) Om) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (pow.f64 Om #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Omc)) Om) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (pow.f64 Om #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) Omc)))) Om) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(*.f64 (*.f64 (neg.f64 Om) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(*.f64 (neg.f64 Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc)))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 Omc (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) Omc)) |
(/.f64 (*.f64 (*.f64 Om (*.f64 l (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #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) Omc) (*.f64 (/.f64 l (*.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)) (sqrt.f64 #s(literal -1 binary64)))) (/.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 Omc #s(literal 3 binary64))) (*.f64 (/.f64 l (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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #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 (*.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 Omc #s(literal 3 binary64))) (*.f64 (/.f64 l (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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (*.f64 (/.f64 l (pow.f64 Om #s(literal 6 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) Omc) (*.f64 (/.f64 l (*.f64 Om Om)) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #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 (*.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) (/.f64 Omc (*.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)) (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)) (sqrt.f64 #s(literal -1 binary64))) 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) (/.f64 Omc (*.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)) (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)) (sqrt.f64 #s(literal -1 binary64))) 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 1/16 binary64) (pow.f64 Om #s(literal 6 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (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) (/.f64 Omc (*.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)) (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)) (sqrt.f64 #s(literal -1 binary64))) Omc))))) |
(* -1 (* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(*.f64 (/.f64 (neg.f64 Om) Omc) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(*.f64 (neg.f64 Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc)))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (pow.f64 Om #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Omc))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (pow.f64 Om #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) Omc))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) Om (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 Omc Omc) Om)) (sqrt.f64 #s(literal -1 binary64))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.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))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) Om (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #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 (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (*.f64 Omc Omc))) (*.f64 Omc Omc))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 Omc Omc) (fma.f64 (*.f64 (/.f64 #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)) |
(/ (- (pow Omc 2) (pow Om 2)) (pow Omc 2)) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om 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 (*.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 (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #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 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.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))))) (*.f64 Omc Omc) (*.f64 (*.f64 Om (*.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 (* l (* (sqrt -1) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (* (pow Omc 2) (+ (* 1/2 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* Om (sqrt -1)))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* (pow Omc 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (* (pow Om 5) (pow (sqrt -1) 5))))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (*.f64 Om l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #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 (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 -1/8 binary64) (/.f64 l (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 (*.f64 #s(literal 1/16 binary64) (*.f64 Omc Omc)) (*.f64 (/.f64 l (pow.f64 Om #s(literal 5 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 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) (/.f64 (*.f64 Omc Omc) 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 (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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #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)) (*.f64 Omc Omc)) (pow.f64 Om #s(literal 3 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) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #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)) (pow.f64 Om #s(literal 3 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) Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) Omc) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Omc Omc) Om) Om)) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/8 (* (/ (pow Omc 2) (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Omc Omc) (pow.f64 Om #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) Om))) (*.f64 Omc Omc) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Om)) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/16 (* (/ (pow Omc 2) (pow Om 5)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Om) #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 Omc Omc) (pow.f64 Om #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 3 binary64))))) (*.f64 Omc Omc))) (*.f64 Omc Omc) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Om)) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 Om Om)) (*.f64 Omc Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (pow.f64 Omc #s(literal 4 binary64)))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 2))) (+ (* -1/8 (/ (* (pow Om 4) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (pow Omc 4))) (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 Om Om)) (*.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))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (*.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)))) (*.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 #s(literal -1/2 binary64) (*.f64 Om Om)) (*.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))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (*.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)))) (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 #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)) (*.f64 Omc Omc)) (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 #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)) (*.f64 Omc Omc)) (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)))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 Omc #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 Om (*.f64 Omc Omc))) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/16 (* (/ (pow Om 6) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Om #s(literal 6 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Omc #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 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 Om (*.f64 Omc Omc))) (sqrt.f64 #s(literal -1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 532 |
| 0 | 137 | 471 |
| 1 | 489 | 467 |
| 2 | 3222 | 467 |
| 0 | 9231 | 453 |
| 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 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(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))))) |
#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)))) |
(-.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))))) |
(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)))) |
(/.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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) |
(*.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))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) |
(cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) |
(fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 Om (*.f64 Omc Omc)) |
(*.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))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(cbrt.f64 (PI.f64)) |
| 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 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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)))) (neg.f64 (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 (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 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)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.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)))))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.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))) (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 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 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))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.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 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) (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))))))) |
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (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))))))) |
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 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))))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 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))))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.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))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 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))))))) |
(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 #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 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 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))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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))))))) |
(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))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (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))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 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) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 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)))) |
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (pow.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))) #s(literal 1/2 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 (pow.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))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (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 -1/4 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal -1/4 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 -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (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 -1/2 binary64))) |
(*.f64 #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))))) |
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(pow.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 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.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))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) |
(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 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))))) |
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(*.f64 Om (/.f64 (/.f64 Om Omc) Omc)) |
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(/.f64 (*.f64 (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64)) Omc) |
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(/.f64 Om (/.f64 (*.f64 Omc Omc) Om)) |
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(*.f64 (/.f64 (/.f64 Om Omc) Omc) Om) |
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(*.f64 (/.f64 Om Omc) (*.f64 (/.f64 Om Omc) #s(literal 1 binary64))) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
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(*.f64 Om (pow.f64 (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))) |
(*.f64 Om (*.f64 (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))) |
(*.f64 Om (/.f64 (/.f64 Om Omc) Omc)) |
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(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)) |
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) Om)) (neg.f64 (*.f64 (/.f64 Omc Om) Omc))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64))) (neg.f64 Omc)) |
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) Om))) (neg.f64 Omc)) |
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(/.f64 (neg.f64 (*.f64 Om #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 Omc Omc) Om))) |
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(/.f64 (neg.f64 (*.f64 (/.f64 Om Omc) Om)) (neg.f64 Omc)) |
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(/.f64 (*.f64 Om #s(literal 1 binary64)) (/.f64 (*.f64 Omc 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 (/.f64 Om Omc) Om) #s(literal 1 binary64)) Omc) |
(/.f64 (*.f64 (*.f64 (neg.f64 Om) Om) #s(literal 1 binary64)) (*.f64 (neg.f64 Omc) Omc)) |
(/.f64 (*.f64 (*.f64 Om Om) #s(literal 1 binary64)) (*.f64 Omc Omc)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) Om)) Omc) |
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 Om Om)) (*.f64 Omc Omc)) |
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc) |
(/.f64 (/.f64 (neg.f64 Om) Omc) (neg.f64 (/.f64 Omc Om))) |
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(/.f64 (neg.f64 Om) (neg.f64 (/.f64 (*.f64 Omc Omc) Om))) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(/.f64 (/.f64 Om Omc) (/.f64 Omc Om)) |
(/.f64 Om (/.f64 (*.f64 Omc Omc) Om)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 Omc (*.f64 (/.f64 Om Omc) Om))) |
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(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)))) |
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(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
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(*.f64 (pow.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))) #s(literal -1/4 binary64)) (pow.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))) #s(literal -1/4 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 -1/2 binary64)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.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))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.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)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64)))) (sqrt.f64 (+.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 -1 binary64))))) |
(/.f64 (sqrt.f64 (-.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))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.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 -1 binary64))))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.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 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.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)))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.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))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.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 Om Omc) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #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)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.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)))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))) |
(/.f64 #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))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.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))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) (exp.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) |
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (PI.f64))) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/12 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/9 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2/3 binary64)) |
(pow.f64 (PI.f64) #s(literal 1/3 binary64)) |
(cbrt.f64 (PI.f64)) |
(sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) |
(fabs.f64 (cbrt.f64 (PI.f64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2/3 binary64))) |
(exp.f64 (log.f64 (cbrt.f64 (PI.f64)))) |
Compiled 47 105 to 5 561 computations (88.2% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 010 | 15 | 1 025 |
| Fresh | 8 | 4 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 021 | 22 | 1 043 |
| Status | Accuracy | Program |
|---|---|---|
| 47.8% | (fma.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64))) #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))))))) | |
| 49.1% | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))))))) | |
| 49.5% | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))))))) | |
| 45.2% | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))))))) | |
| 44.5% | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 45.2% | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) | |
| 47.1% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) | |
| ▶ | 43.3% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) |
| 48.7% | (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 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))))) | |
| ▶ | 47.4% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
| ✓ | 73.4% | (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))))) |
| 71.1% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64))))) | |
| 45.7% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 (/.f64 t l) (/.f64 t l))) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) | |
| ▶ | 72.0% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
| ✓ | 48.1% | (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)))))) |
| ✓ | 45.5% | (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))))) |
| ▶ | 49.7% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l))) |
| 37.1% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))) | |
| ▶ | 49.8% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
| 52.2% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.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))) | |
| 17.5% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 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)))))) | |
| 17.6% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (+.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)))))) |
Compiled 1 894 to 1 341 computations (29.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l))) | |
| cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| cost-diff | 5760 | (*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l) | |
| cost-diff | 6080 | (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (cbrt.f64 (PI.f64)) | |
| cost-diff | 0 | (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) | |
| cost-diff | 19584 | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (sqrt.f64 (PI.f64)) | |
| cost-diff | 1600 | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) | |
| 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 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 994 |
| 0 | 150 | 977 |
| 1 | 253 | 939 |
| 2 | 499 | 935 |
| 3 | 1108 | 935 |
| 4 | 3021 | 935 |
| 5 | 4411 | 935 |
| 6 | 7057 | 935 |
| 0 | 8093 | 898 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) |
(/.f64 #s(literal 2 binary64) (*.f64 l l)) |
#s(literal 2 binary64) |
(*.f64 l l) |
l |
t |
(asin.f64 #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) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))))) |
#s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))) |
(acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))) |
(fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) l) |
#s(literal -2 binary64) |
l |
(/.f64 (*.f64 t t) l) |
(*.f64 t t) |
t |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l)) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 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) |
#s(literal 1/2 binary64) |
(pow.f64 t #s(literal -1 binary64)) |
t |
#s(literal -1 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) |
#s(literal -1/8 binary64) |
(/.f64 l (pow.f64 t #s(literal 3 binary64))) |
l |
(pow.f64 t #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 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 (/.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 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) |
#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 (*.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 (*.f64 (/.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))))) l))) |
#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)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) l)) |
(*.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)) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) l) |
(/.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 Omc Omc) |
Omc |
#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 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (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))))))) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(PI.f64) |
#s(literal 2 binary64) |
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))))) |
(neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
#s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))) |
#s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) |
(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 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#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 -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) l) |
#s(literal -2 binary64) |
l |
(/.f64 (*.f64 t t) l) |
(*.f64 (/.f64 t l) t) |
(*.f64 t t) |
t |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 l t) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) (*.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) t) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l)) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 l t) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) (*.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) t) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l) |
(*.f64 (/.f64 l t) (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) l) (*.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) t) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 t #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64)) l) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1/2 binary64))) t)) |
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1/2 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) |
#s(literal 1/2 binary64) |
(pow.f64 t #s(literal -1 binary64)) |
t |
#s(literal -1 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (pow.f64 t #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64)) l)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) l)) |
(*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) |
(*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) #s(literal -1/8 binary64)) |
#s(literal -1/8 binary64) |
(/.f64 l (pow.f64 t #s(literal 3 binary64))) |
l |
(pow.f64 t #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.3122749060263414 | (*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l) | |
| accuracy | 3.7141849048681475 | (/.f64 l (pow.f64 t #s(literal 3 binary64))) | |
| accuracy | 4.260846536193357 | (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) | |
| accuracy | 29.961142350837633 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l)) | |
| accuracy | 6.661327457079101 | (/.f64 (*.f64 t t) l) | |
| accuracy | 11.679349934524001 | (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) | |
| accuracy | 26.14696254861981 | (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))) | |
| accuracy | 31.178360904989834 | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) | |
| accuracy | 11.679349934524001 | (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) | |
| accuracy | 26.14696254861981 | (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) | |
| accuracy | 31.69944195144133 | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) | |
| accuracy | 33.117367643787134 | #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) | |
| accuracy | 0.3635736118980411 | (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 | 0.390625 | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) | |
| accuracy | 6.8643457962912615 | (/.f64 Om (*.f64 Omc Omc)) | |
| accuracy | 29.0801943655496 | #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 | 0.3635736118980411 | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) | |
| accuracy | 1.4095679272063713 | (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) | |
| accuracy | 5.555060407501431 | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) | |
| accuracy | 11.679349934524001 | (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
| 224.0ms | 110× | 2 | valid |
| 188.0ms | 135× | 1 | valid |
| 7.0ms | 11× | 0 | valid |
Compiled 1 750 to 179 computations (89.8% saved)
ival-mult: 80.0ms (23.8% of total)ival-div: 48.0ms (14.3% of total)adjust: 48.0ms (14.3% of total)ival-sqrt: 41.0ms (12.2% of total)ival-acos: 34.0ms (10.1% of total)ival-add: 23.0ms (6.9% of total)ival-pow2: 17.0ms (5.1% of total)ival-asin: 12.0ms (3.6% of total)ival-cbrt: 11.0ms (3.3% of total)ival-pow: 8.0ms (2.4% of total)ival-sub: 6.0ms (1.8% of total)ival-neg: 6.0ms (1.8% of total)ival-pi: 2.0ms (0.6% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(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) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(/.f64 Om (*.f64 Omc Omc)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) |
(/.f64 (*.f64 t t) l) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (/.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))) |
| 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 t 2) (pow l 2)))) |
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2)))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2)))))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (* l (sqrt 1/2)) t) |
(- (* 1/2 (PI)) (acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(* -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)) |
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 3)) |
(* 2 (/ t (pow l 2))) |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2))))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow l 6) (pow (sqrt -1) 2)))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 6) (pow (sqrt -1) 4))))) (+ (* -8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 6))) (/ 1 (* (pow l 6) (pow (sqrt -1) 4)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/2 (* (/ (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1)))))))))) |
(/ (pow t 2) l) |
(* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) |
(/ l (pow t 3)) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(* 1/2 (/ (pow l 2) (pow t 2))) |
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2)) |
(- (* 1/2 (PI)) (acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* (/ (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) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t) |
(* -1 (* (/ (* l (sqrt 1/2)) 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 (* (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 (/ (+ (* -1 (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(* -1 (/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(+ (* -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)))))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (sqrt 1/2)) |
(* (/ (* l (sqrt -1/2)) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(* l (+ (* 1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2)))) (* -1/16 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 8)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2)))) |
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2))))) |
(* (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))))))) |
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* -1 (/ (* (pow t 2) (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow l 6) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(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)))))) |
(+ (* -1/2 (/ (* (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)) |
(+ (* -1/8 (/ (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 (/ (sqrt 1/2) (* (pow Omc 2) t))) (* 1/16 (/ (pow l 2) (* (pow Omc 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 (/ (sqrt 1/2) (* (pow Omc 2) t))) (+ (* 1/16 (/ (pow l 2) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))) (* (pow Om 2) (+ (* -1/8 (/ (sqrt 1/2) (* (pow Omc 4) t))) (* 1/64 (/ (pow l 2) (* (pow Omc 4) (* (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 (/ (sqrt 1/2) (* (pow Omc 2) t))) (+ (* 1/16 (/ (pow l 2) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))) (* (pow Om 2) (+ (* -1/8 (/ (sqrt 1/2) (* (pow Omc 4) t))) (+ (* 1/64 (/ (pow l 2) (* (pow Omc 4) (* (pow t 3) (sqrt 1/2))))) (* (pow Om 2) (+ (* -1/16 (/ (sqrt 1/2) (* (pow Omc 6) t))) (* 1/128 (/ (pow l 2) (* (pow Omc 6) (* (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))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (* l (+ (* -1/2 (/ (sqrt 1/2) (* (pow Omc 2) t))) (* 1/16 (/ (pow l 2) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))))))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* l (+ (* -1/2 (/ (sqrt 1/2) (* (pow Omc 2) t))) (* 1/16 (/ (pow l 2) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (* l (+ (* -1/8 (/ (sqrt 1/2) (* (pow Omc 4) t))) (* 1/64 (/ (pow l 2) (* (pow Omc 4) (* (pow t 3) (sqrt 1/2))))))))))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* l (+ (* -1/2 (/ (sqrt 1/2) (* (pow Omc 2) t))) (* 1/16 (/ (pow l 2) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (+ (* l (+ (* -1/8 (/ (sqrt 1/2) (* (pow Omc 4) t))) (* 1/64 (/ (pow l 2) (* (pow Omc 4) (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (* l (+ (* -1/16 (/ (sqrt 1/2) (* (pow Omc 6) t))) (* 1/128 (/ (pow l 2) (* (pow Omc 6) (* (pow t 3) (sqrt 1/2))))))))))))) |
1/2 |
(+ 1/2 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) |
(/ Om (pow Omc 2)) |
(* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/16 (* (/ (pow Om 2) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)) |
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(* Om (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) |
(* Om (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow Om 4) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* -1/128 (/ (* (pow Omc 5) (pow l 2)) (* (pow Om 6) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2)))))) (+ (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow Om 4) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))) (+ (* 1/16 (/ (* (pow Omc 5) (sqrt 1/2)) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))))))))) |
(* Om (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t))))) |
(* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2)))) |
(* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (+ (/ (* l (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* t (pow (sqrt -1) 3)))) (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2))))))) (pow Om 4)) (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2))))) |
(* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (+ (/ (* l (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* t (pow (sqrt -1) 3)))) (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2))))))) (pow Om 4)) (+ (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2)) (/ (* l (+ (* -1/128 (/ (* (pow Omc 5) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2))))) (* 1/16 (/ (* (pow Omc 5) (sqrt 1/2)) (* t (pow (sqrt -1) 5)))))) (pow Om 6)))))) |
(* -1/2 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (* 1/2 (/ 1 (pow Om 2))) (* 1/2 (/ 1 (pow Omc 2))))) |
(* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* 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 (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t))))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow Om 4) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t))))))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* -1/128 (/ (* (pow Omc 5) (pow l 2)) (* (pow Om 6) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2)))))) (+ (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow Om 4) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))) (+ (* 1/16 (/ (* (pow Omc 5) (sqrt 1/2)) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t))))))))))) |
(* -1 (* Om (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))))) |
(* -1 (* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2))))) |
(* -1 (* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (+ (/ (* l (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* t (pow (sqrt -1) 3)))) (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2))))))) (pow Om 4)) (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2)))))) |
(* -1 (* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (+ (/ (* l (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* t (pow (sqrt -1) 3)))) (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2))))))) (pow Om 4)) (+ (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2)) (/ (* l (+ (* -1/128 (/ (* (pow Omc 5) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2))))) (* 1/16 (/ (* (pow Omc 5) (sqrt 1/2)) (* t (pow (sqrt -1) 5)))))) (pow Om 6))))))) |
(* -1 (* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t)) Omc) |
(/ (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Omc 2) (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) Omc) |
(/ (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Omc 2) (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (sqrt 1/2) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/64 (/ (pow l 2) (* (pow Om 3) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2))))))))))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) Omc) |
(/ (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Omc 2) (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (sqrt 1/2) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (+ (* 1/64 (/ (pow l 2) (* (pow Om 3) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))) (* (pow Omc 2) (+ (* -1/128 (/ (pow l 2) (* (pow Om 5) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2)))))) (* 1/16 (/ (sqrt 1/2) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))))))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) Omc) |
(/ (* l (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) Omc) |
(/ (+ (* l (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) (* (pow Omc 2) (* l (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))))))) Omc) |
(/ (+ (* l (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) (* (pow Omc 2) (+ (* l (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))))) (* (pow Omc 2) (* l (+ (* -1/8 (/ (sqrt 1/2) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/64 (/ (pow l 2) (* (pow Om 3) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))))))))) Omc) |
(/ (+ (* l (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) (* (pow Omc 2) (+ (* l (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))))) (* (pow Omc 2) (+ (* l (+ (* -1/8 (/ (sqrt 1/2) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/64 (/ (pow l 2) (* (pow Om 3) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))))) (* (pow Omc 2) (* l (+ (* -1/128 (/ (pow l 2) (* (pow Om 5) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2)))))) (* 1/16 (/ (sqrt 1/2) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))))))) Omc) |
(/ (+ (* -1/2 (pow Om 2)) (* 1/2 (pow Omc 2))) (pow Omc 2)) |
(/ (+ (* -1/2 (* (/ (pow Omc 2) Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/8 (* (/ (pow Omc 2) (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/16 (* (/ (pow Omc 2) (pow Om 5)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/2 (/ (* (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) (sqrt 1/2)) (* (pow Omc 2) t))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))) (/ (sqrt 1/2) t)))) |
(+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (sqrt 1/2)) (* (pow Omc 4) t))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* 1/64 (/ (* (pow Om 4) (pow l 2)) (* (pow Omc 4) (* (pow t 3) (sqrt 1/2))))) (+ (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))) (/ (sqrt 1/2) t)))))) |
(+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (sqrt 1/2)) (* (pow Omc 4) t))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (sqrt 1/2)) (* (pow Omc 6) t))) (+ (* 1/128 (/ (* (pow Om 6) (pow l 2)) (* (pow Omc 6) (* (pow t 3) (sqrt 1/2))))) (+ (* 1/64 (/ (* (pow Om 4) (pow l 2)) (* (pow Omc 4) (* (pow t 3) (sqrt 1/2))))) (+ (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 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))) (/ (* l (+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) t)) (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (+ (/ (* l (+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) t)) (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2)) (/ (* l (+ (* -1/8 (/ (* (pow Om 4) (sqrt 1/2)) t)) (* 1/64 (/ (* (pow Om 4) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 4)))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (+ (/ (* l (+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) t)) (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2)) (+ (/ (* l (+ (* -1/8 (/ (* (pow Om 4) (sqrt 1/2)) t)) (* 1/64 (/ (* (pow Om 4) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 4)) (/ (* l (+ (* -1/16 (/ (* (pow Om 6) (sqrt 1/2)) t)) (* 1/128 (/ (* (pow Om 6) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 6))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/16 (* (/ (pow Om 6) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | 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 (+ (* (* (/ 2 (* l l)) t) t) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1))) (/ (* (sqrt 1/2) l) t) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (+ (* (sqrt (* (- 1 (pow (/ Om Omc) 2)) 1/2)) (pow t -1)) (* (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (sqrt (- 1 (pow (/ Om Omc) 2))))) (* (+ (* (sqrt (* (- 1 (pow (/ Om Omc) 2)) 1/2)) (pow t -1)) (* (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (sqrt (- 1 (pow (/ Om Omc) 2))))) l) (* (- 1 (pow (/ Om Omc) 2)) 1/2) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (* (/ 2 (* l l)) t) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ Om (* Omc Omc)) (* (sqrt 1/2) l) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (acos (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1)))) (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1))) (/ (* t t) l) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (/ l (pow t 3))) |
| 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 (+ (* (* (/ 2 (* l l)) t) t) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1))) (/ (* (sqrt 1/2) l) t) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (+ (* (sqrt (* (- 1 (pow (/ Om Omc) 2)) 1/2)) (pow t -1)) (* (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (sqrt (- 1 (pow (/ Om Omc) 2))))) (* (+ (* (sqrt (* (- 1 (pow (/ Om Omc) 2)) 1/2)) (pow t -1)) (* (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (sqrt (- 1 (pow (/ Om Omc) 2))))) l) (* (- 1 (pow (/ Om Omc) 2)) 1/2) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (* (/ 2 (* l l)) t) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ Om (* Omc Omc)) (* (sqrt 1/2) l) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (acos (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1)))) (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1))) (/ (* t t) l) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (/ l (pow t 3))) |
| 8.0ms | Om | @ | -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 (+ (* (* (/ 2 (* l l)) t) t) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1))) (/ (* (sqrt 1/2) l) t) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (+ (* (sqrt (* (- 1 (pow (/ Om Omc) 2)) 1/2)) (pow t -1)) (* (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (sqrt (- 1 (pow (/ Om Omc) 2))))) (* (+ (* (sqrt (* (- 1 (pow (/ Om Omc) 2)) 1/2)) (pow t -1)) (* (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (sqrt (- 1 (pow (/ Om Omc) 2))))) l) (* (- 1 (pow (/ Om Omc) 2)) 1/2) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (* (/ 2 (* l l)) t) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ Om (* Omc Omc)) (* (sqrt 1/2) l) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (acos (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1)))) (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1))) (/ (* t t) l) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (/ l (pow t 3))) |
| 7.0ms | 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 (+ (* (* (/ 2 (* l l)) t) t) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1))) (/ (* (sqrt 1/2) l) t) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (+ (* (sqrt (* (- 1 (pow (/ Om Omc) 2)) 1/2)) (pow t -1)) (* (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (sqrt (- 1 (pow (/ Om Omc) 2))))) (* (+ (* (sqrt (* (- 1 (pow (/ Om Omc) 2)) 1/2)) (pow t -1)) (* (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (sqrt (- 1 (pow (/ Om Omc) 2))))) l) (* (- 1 (pow (/ Om Omc) 2)) 1/2) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (* (/ 2 (* l l)) t) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ Om (* Omc Omc)) (* (sqrt 1/2) l) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (acos (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1)))) (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1))) (/ (* t t) l) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (/ l (pow t 3))) |
| 6.0ms | 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 (+ (* (* (/ 2 (* l l)) t) t) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1))) (/ (* (sqrt 1/2) l) t) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (+ (* (sqrt (* (- 1 (pow (/ Om Omc) 2)) 1/2)) (pow t -1)) (* (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (sqrt (- 1 (pow (/ Om Omc) 2))))) (* (+ (* (sqrt (* (- 1 (pow (/ Om Omc) 2)) 1/2)) (pow t -1)) (* (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (sqrt (- 1 (pow (/ Om Omc) 2))))) l) (* (- 1 (pow (/ Om Omc) 2)) 1/2) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (* (/ 2 (* l l)) t) (+ (* (* (/ 2 (* l l)) t) t) 1) (/ Om (* Omc Omc)) (* (sqrt 1/2) l) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (acos (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1)))) (sqrt (/ (+ (* (/ Om Omc) (/ Om Omc)) -1) (+ (* (/ -2 l) (/ (* t t) l)) -1))) (/ (* t t) l) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (/ l (pow t 3))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1148 | 11228 |
| 1 | 3881 | 10120 |
| 0 | 8181 | 9603 |
| 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 t 2) (pow l 2)))) |
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2)))))) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2)))))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (* l (sqrt 1/2)) t) |
(- (* 1/2 (PI)) (acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(* -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)) |
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 3)) |
(* 2 (/ t (pow l 2))) |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2))))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow l 6) (pow (sqrt -1) 2)))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 6) (pow (sqrt -1) 4))))) (+ (* -8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 6))) (/ 1 (* (pow l 6) (pow (sqrt -1) 4)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/2 (* (/ (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1)))))))))) |
(/ (pow t 2) l) |
(* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) |
(/ l (pow t 3)) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(* 1/2 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/2 (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/8 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) (pow t 2)) |
(* 1/2 (/ (pow l 2) (pow t 2))) |
(/ (+ (* -1/4 (/ (pow l 4) (pow t 2))) (* 1/2 (pow l 2))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (pow l 6) (pow t 4))) (* 1/2 (pow l 2))) (* 1/4 (/ (pow l 4) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (pow l 8) (pow t 6))) (* 1/2 (pow l 2))) (+ (* -1/8 (/ (pow l 6) (pow t 4))) (* 1/4 (/ (pow l 4) (pow t 2))))) (pow t 2)) |
(- (* 1/2 (PI)) (acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* (/ (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) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(acos (* (sqrt -1) (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t) |
(/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t) |
(* -1 (* (/ (* l (sqrt 1/2)) 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 (* (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 (/ (+ (* -1 (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(* -1 (/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
(+ (* -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)))))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (sqrt 1/2)) |
(* (/ (* l (sqrt -1/2)) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(* l (+ (* 1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))))) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2)))) (* -1/16 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 8)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (pow t 2) (pow l 2)))) |
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2))))) |
(* (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))))))) |
(* (pow l 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* -1 (/ (* (pow t 2) (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow l 6) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(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)))))) |
(+ (* -1/2 (/ (* (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)) |
(+ (* -1/8 (/ (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 (/ (sqrt 1/2) (* (pow Omc 2) t))) (* 1/16 (/ (pow l 2) (* (pow Omc 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 (/ (sqrt 1/2) (* (pow Omc 2) t))) (+ (* 1/16 (/ (pow l 2) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))) (* (pow Om 2) (+ (* -1/8 (/ (sqrt 1/2) (* (pow Omc 4) t))) (* 1/64 (/ (pow l 2) (* (pow Omc 4) (* (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 (/ (sqrt 1/2) (* (pow Omc 2) t))) (+ (* 1/16 (/ (pow l 2) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))) (* (pow Om 2) (+ (* -1/8 (/ (sqrt 1/2) (* (pow Omc 4) t))) (+ (* 1/64 (/ (pow l 2) (* (pow Omc 4) (* (pow t 3) (sqrt 1/2))))) (* (pow Om 2) (+ (* -1/16 (/ (sqrt 1/2) (* (pow Omc 6) t))) (* 1/128 (/ (pow l 2) (* (pow Omc 6) (* (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))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (* l (+ (* -1/2 (/ (sqrt 1/2) (* (pow Omc 2) t))) (* 1/16 (/ (pow l 2) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))))))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* l (+ (* -1/2 (/ (sqrt 1/2) (* (pow Omc 2) t))) (* 1/16 (/ (pow l 2) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (* l (+ (* -1/8 (/ (sqrt 1/2) (* (pow Omc 4) t))) (* 1/64 (/ (pow l 2) (* (pow Omc 4) (* (pow t 3) (sqrt 1/2))))))))))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (* (pow Om 2) (+ (* l (+ (* -1/2 (/ (sqrt 1/2) (* (pow Omc 2) t))) (* 1/16 (/ (pow l 2) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (+ (* l (+ (* -1/8 (/ (sqrt 1/2) (* (pow Omc 4) t))) (* 1/64 (/ (pow l 2) (* (pow Omc 4) (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (* l (+ (* -1/16 (/ (sqrt 1/2) (* (pow Omc 6) t))) (* 1/128 (/ (pow l 2) (* (pow Omc 6) (* (pow t 3) (sqrt 1/2))))))))))))) |
1/2 |
(+ 1/2 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) |
(/ Om (pow Omc 2)) |
(* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/16 (* (/ (pow Om 2) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)) |
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(* Om (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) |
(* Om (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow Om 4) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* -1/128 (/ (* (pow Omc 5) (pow l 2)) (* (pow Om 6) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2)))))) (+ (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow Om 4) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))) (+ (* 1/16 (/ (* (pow Omc 5) (sqrt 1/2)) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))))))))) |
(* Om (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t))))) |
(* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2)))) |
(* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (+ (/ (* l (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* t (pow (sqrt -1) 3)))) (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2))))))) (pow Om 4)) (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2))))) |
(* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (+ (/ (* l (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* t (pow (sqrt -1) 3)))) (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2))))))) (pow Om 4)) (+ (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2)) (/ (* l (+ (* -1/128 (/ (* (pow Omc 5) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2))))) (* 1/16 (/ (* (pow Omc 5) (sqrt 1/2)) (* t (pow (sqrt -1) 5)))))) (pow Om 6)))))) |
(* -1/2 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (* 1/2 (/ 1 (pow Om 2))) (* 1/2 (/ 1 (pow Omc 2))))) |
(* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* 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 (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t))))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow Om 4) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t))))))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* -1/128 (/ (* (pow Omc 5) (pow l 2)) (* (pow Om 6) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2)))))) (+ (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow Om 4) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))) (+ (* 1/16 (/ (* (pow Omc 5) (sqrt 1/2)) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t))))))))))) |
(* -1 (* Om (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))))) |
(* -1 (* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2))))) |
(* -1 (* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (+ (/ (* l (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* t (pow (sqrt -1) 3)))) (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2))))))) (pow Om 4)) (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2)))))) |
(* -1 (* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (+ (/ (* l (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* t (pow (sqrt -1) 3)))) (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2))))))) (pow Om 4)) (+ (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2)) (/ (* l (+ (* -1/128 (/ (* (pow Omc 5) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2))))) (* 1/16 (/ (* (pow Omc 5) (sqrt 1/2)) (* t (pow (sqrt -1) 5)))))) (pow Om 6))))))) |
(* -1 (* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t)) Omc) |
(/ (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Omc 2) (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) Omc) |
(/ (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Omc 2) (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (sqrt 1/2) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/64 (/ (pow l 2) (* (pow Om 3) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2))))))))))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) Omc) |
(/ (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Omc 2) (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (sqrt 1/2) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (+ (* 1/64 (/ (pow l 2) (* (pow Om 3) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))) (* (pow Omc 2) (+ (* -1/128 (/ (pow l 2) (* (pow Om 5) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2)))))) (* 1/16 (/ (sqrt 1/2) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))))))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) Omc) |
(/ (* l (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) Omc) |
(/ (+ (* l (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) (* (pow Omc 2) (* l (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))))))) Omc) |
(/ (+ (* l (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) (* (pow Omc 2) (+ (* l (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))))) (* (pow Omc 2) (* l (+ (* -1/8 (/ (sqrt 1/2) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/64 (/ (pow l 2) (* (pow Om 3) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))))))))) Omc) |
(/ (+ (* l (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) (* (pow Omc 2) (+ (* l (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))))) (* (pow Omc 2) (+ (* l (+ (* -1/8 (/ (sqrt 1/2) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/64 (/ (pow l 2) (* (pow Om 3) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))))) (* (pow Omc 2) (* l (+ (* -1/128 (/ (pow l 2) (* (pow Om 5) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2)))))) (* 1/16 (/ (sqrt 1/2) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))))))) Omc) |
(/ (+ (* -1/2 (pow Om 2)) (* 1/2 (pow Omc 2))) (pow Omc 2)) |
(/ (+ (* -1/2 (* (/ (pow Omc 2) Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/8 (* (/ (pow Omc 2) (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/16 (* (/ (pow Omc 2) (pow Om 5)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/2 (/ (* (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) (sqrt 1/2)) (* (pow Omc 2) t))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))) (/ (sqrt 1/2) t)))) |
(+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (sqrt 1/2)) (* (pow Omc 4) t))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* 1/64 (/ (* (pow Om 4) (pow l 2)) (* (pow Omc 4) (* (pow t 3) (sqrt 1/2))))) (+ (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))) (/ (sqrt 1/2) t)))))) |
(+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (sqrt 1/2)) (* (pow Omc 4) t))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (sqrt 1/2)) (* (pow Omc 6) t))) (+ (* 1/128 (/ (* (pow Om 6) (pow l 2)) (* (pow Omc 6) (* (pow t 3) (sqrt 1/2))))) (+ (* 1/64 (/ (* (pow Om 4) (pow l 2)) (* (pow Omc 4) (* (pow t 3) (sqrt 1/2))))) (+ (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 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))) (/ (* l (+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) t)) (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (+ (/ (* l (+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) t)) (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2)) (/ (* l (+ (* -1/8 (/ (* (pow Om 4) (sqrt 1/2)) t)) (* 1/64 (/ (* (pow Om 4) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 4)))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (+ (/ (* l (+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) t)) (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2)) (+ (/ (* l (+ (* -1/8 (/ (* (pow Om 4) (sqrt 1/2)) t)) (* 1/64 (/ (* (pow Om 4) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 4)) (/ (* l (+ (* -1/16 (/ (* (pow Om 6) (sqrt 1/2)) t)) (* 1/128 (/ (* (pow Om 6) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 6))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/16 (* (/ (pow Om 6) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
| Outputs |
|---|
(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 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))))) (*.f64 t t))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (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))) |
(-.f64 (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 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(-.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) #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))) |
(-.f64 (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) #s(literal 1 binary64)) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (/ (pow t 2) (pow l 2)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (- (* 4 (/ (pow t 2) (pow l 4))) (* 2 (/ 1 (pow l 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (*.f64 l l))) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 l #s(literal 6 binary64))) #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 l #s(literal 4 binary64)))) (*.f64 t t) (/.f64 #s(literal -2 binary64) (*.f64 l l))) (*.f64 t t) #s(literal 1 binary64)) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -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))))) |
(/ (* l (sqrt 1/2)) t) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) |
(- (* 1/2 (PI)) (acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(- (* 1/2 (PI)) (acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))) |
(* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.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 (/ (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 #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))) |
(* -1/8 (* (/ (pow l 3) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (pow t 3)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 (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))) |
(* 2 (/ t (pow l 2))) |
(*.f64 (/.f64 t (*.f64 l l)) #s(literal 2 binary64)) |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) |
(acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(acos (sqrt (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))) |
(* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (fma.f64 (/.f64 t (sqrt.f64 #s(literal -1 binary64))) (/.f64 t (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2))))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 Om (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 Om (*.f64 Omc Omc)) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 l #s(literal 4 binary64))))) (*.f64 t t)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))) (/.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 l l)))) (*.f64 t t) (*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* (/ 1 (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow t 2) (+ (* 1/2 (* (/ (* (pow t 2) (- (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow l 6) (pow (sqrt -1) 2)))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 6) (pow (sqrt -1) 4))))) (+ (* -8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 6))) (/ 1 (* (pow l 6) (pow (sqrt -1) 4)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/2 (* (/ (- (/ 1 (* (pow l 4) (pow (sqrt -1) 2))) (+ (* 4 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow l 4))) (/ (pow Om 2) (* (pow Omc 2) (* (pow l 4) (pow (sqrt -1) 2)))))) (sqrt -1)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))) (fma.f64 (*.f64 t t) (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 6 binary64))) (/.f64 (*.f64 Om Om) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 6 binary64))) (*.f64 Omc Omc)))) (fma.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 l #s(literal 6 binary64))) #s(literal -8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 Om (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 Om (*.f64 Omc Omc)) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 l #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 t t) (/.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 l l)))) (*.f64 t t) (*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) |
(/ (pow t 2) l) |
(/.f64 (*.f64 t t) l) |
(* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) |
(*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/ l (pow t 3)) |
(/.f64 l (pow.f64 t #s(literal 3 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 #s(literal -1/8 binary64) (/.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t t))) (*.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 (/ (+ (* -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)) |
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(* -1 (/ (+ (* -1 (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
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(* -1 (* (/ (* l (* (sqrt -1) (sqrt 1/2))) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) |
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(* -1 (/ (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) t)) |
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(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) t)) |
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(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ (* 1/16 (* (pow l 8) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* 1/64 (/ (* (pow l 6) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/8 (* (/ (* (pow l 3) (sqrt -1)) (* (pow t 2) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (* l (* (sqrt -1) (sqrt 1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) t)) |
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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))))) |
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
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(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
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(* (pow l 2) (+ (* -1/4 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2))))) |
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(* (pow l 2) (+ (* (pow l 2) (- (* 1/8 (/ (pow l 2) (pow t 6))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
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(* (pow l 2) (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1/16 (/ (pow l 2) (pow t 8))) (* 1/8 (/ 1 (pow t 6))))) (* 1/4 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2))))) |
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(+ (* -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)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(* (/ (* l (sqrt -1/2)) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) |
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(* l (+ (* 1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 l (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) t))) l) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (fma.f64 #s(literal -1/32 binary64) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 t #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 6 binary64))))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/8 binary64))) (*.f64 l l) (*.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))))) l) |
(* l (+ (* (/ (sqrt -1/2) t) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (pow l 2) (+ (* 1/8 (* (/ 1 (* (pow t 3) (sqrt -1/2))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ (* 1/64 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (* (pow t 6) (pow (sqrt -1/2) 2)))) (* 1/8 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 6)))) (* (pow t 2) (pow (sqrt -1/2) 2)))) (* -1/16 (/ (- (/ (pow Om 2) (pow Omc 2)) 1) (pow t 8)))))) (sqrt -1/2)) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))) (fma.f64 t (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 t #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (fma.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 t #s(literal 8 binary64))) #s(literal -1/16 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (pow.f64 t #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (pow.f64 t #s(literal 6 binary64)))) (*.f64 t t))))) (sqrt.f64 #s(literal -1/2 binary64)))))) (*.f64 l l) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/8 binary64))) (*.f64 l l) (*.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))))) l) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.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))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 t l) (/.f64 t l)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (+.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 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 t t))) (pow.f64 l #s(literal 6 binary64))))))) |
(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
(-.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 l l)) #s(literal 2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
(-.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64)))) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64)))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 l l)) #s(literal 2 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(- (+ 1 (* 4 (/ (pow t 4) (pow l 4)))) (* 2 (/ (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 4 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l))) |
(- (+ 1 (* -8 (/ (pow t 6) (pow l 6)))) (+ (* -4 (/ (pow t 4) (pow l 4))) (* 2 (/ (pow t 2) (pow l 2))))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) #s(literal -8 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 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)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 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 3) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 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))) |
(+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))) (pow.f64 l #s(literal 4 binary64)))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (fma.f64 (/.f64 t (sqrt.f64 #s(literal -1 binary64))) (/.f64 t (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (* -1/2 (* (/ (+ (* -8 (* (pow t 6) (- (/ (pow Om 2) (pow Omc 2)) 1))) (* -1 (/ (* (pow t 2) (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow l 6) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* -1/2 (* (/ (+ (* 4 (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1))) (/ (* (pow t 4) (- (/ (pow Om 2) (pow Omc 2)) 1)) (pow (sqrt -1) 2))) (* (pow l 4) (sqrt -1))) (sqrt (/ 1 (- (/ (pow Om 2) (pow Omc 2)) 1))))) (+ (* (sqrt -1) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1))) (* (/ (pow t 2) (* (pow l 2) (sqrt -1))) (sqrt (- (/ (pow Om 2) (pow Omc 2)) 1)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) #s(literal -8 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 t t)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 l #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) #s(literal -1 binary64)))) (pow.f64 l #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64))) (fma.f64 (/.f64 t (sqrt.f64 #s(literal -1 binary64))) (/.f64 t (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (pow l 3) (+ (* -1 (* (/ (sqrt 1/2) (* (pow l 2) t)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(*.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (/.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)))) (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))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t)) |
(fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t)) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) 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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) t) (/.f64 (*.f64 (*.f64 (*.f64 Om Om) l) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) (*.f64 Om Om) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) (*.f64 Om Om) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(+ (* -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)) |
(+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Om 2) (+ (* -1/2 (/ (sqrt 1/2) (* (pow Omc 2) t))) (* 1/16 (/ (pow l 2) (* (pow Omc 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))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 Omc Omc)) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.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 (/ (sqrt 1/2) (* (pow Omc 2) t))) (+ (* 1/16 (/ (pow l 2) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))) (* (pow Om 2) (+ (* -1/8 (/ (sqrt 1/2) (* (pow Omc 4) t))) (* 1/64 (/ (pow l 2) (* (pow Omc 4) (* (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))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 Omc Omc)) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (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 (/.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Om Om)))) (*.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 (/ (sqrt 1/2) (* (pow Omc 2) t))) (+ (* 1/16 (/ (pow l 2) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))) (* (pow Om 2) (+ (* -1/8 (/ (sqrt 1/2) (* (pow Omc 4) t))) (+ (* 1/64 (/ (pow l 2) (* (pow Omc 4) (* (pow t 3) (sqrt 1/2))))) (* (pow Om 2) (+ (* -1/16 (/ (sqrt 1/2) (* (pow Omc 6) t))) (* 1/128 (/ (pow l 2) (* (pow Omc 6) (* (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))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 Omc Omc)) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (/.f64 #s(literal 1/64 binary64) (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 (fma.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Om Om)))) (*.f64 Om Om)))) (*.f64 Om Om) (/.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))) |
(*.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) (* l (+ (* -1/2 (/ (sqrt 1/2) (* (pow Omc 2) t))) (* 1/16 (/ (pow l 2) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))))))) |
(fma.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 Omc Omc)) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (/.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 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) (+ (* l (+ (* -1/2 (/ (sqrt 1/2) (* (pow Omc 2) t))) (* 1/16 (/ (pow l 2) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (* l (+ (* -1/8 (/ (sqrt 1/2) (* (pow Omc 4) t))) (* 1/64 (/ (pow l 2) (* (pow Omc 4) (* (pow t 3) (sqrt 1/2))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (/.f64 #s(literal 1/64 binary64) (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 (/.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 Omc Omc)) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)) (*.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) (+ (* l (+ (* -1/2 (/ (sqrt 1/2) (* (pow Omc 2) t))) (* 1/16 (/ (pow l 2) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (+ (* l (+ (* -1/8 (/ (sqrt 1/2) (* (pow Omc 4) t))) (* 1/64 (/ (pow l 2) (* (pow Omc 4) (* (pow t 3) (sqrt 1/2))))))) (* (pow Om 2) (* l (+ (* -1/16 (/ (sqrt 1/2) (* (pow Omc 6) t))) (* 1/128 (/ (pow l 2) (* (pow Omc 6) (* (pow t 3) (sqrt 1/2))))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 Om Om) l) (fma.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (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 (/.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)) (*.f64 Om Om) (*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 Omc Omc)) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 Omc Omc)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l)) (*.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)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/2 (/ (pow Om 2) (pow Omc 2)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1/2 binary64)) |
(/ Om (pow Omc 2)) |
(/.f64 Om (*.f64 Omc Omc)) |
(* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 Om (*.f64 Omc Omc))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* -1/8 (* (/ (pow Om 2) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 Om (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 Om (pow.f64 Omc #s(literal 4 binary64))))))) (*.f64 Om Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Om 2) (+ (* 1/2 (* (/ 1 (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* 1/16 (* (/ (pow Om 2) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) |
(fma.f64 (fma.f64 (/.f64 (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)) (*.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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 Om (pow.f64 Omc #s(literal 6 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))) (*.f64 Om Om))) (*.f64 Om Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) |
(* (/ (* 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 (pow.f64 Om #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 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 (pow.f64 Om #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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 (neg.f64 (*.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)) |
(/ (* 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 (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 Omc (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc))) Om) |
(* Om (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 Omc (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l l) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc)) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64))))))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow Om 4) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 Omc #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) t) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))))) (fma.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l l) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc)) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))))))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* -1/128 (/ (* (pow Omc 5) (pow l 2)) (* (pow Om 6) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2)))))) (+ (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow Om 4) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))) (+ (* 1/16 (/ (* (pow Omc 5) (sqrt 1/2)) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))))))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 Omc #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) t) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))))) (fma.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 Om Om) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 l l) Omc) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 l l)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 l l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 Om #s(literal 6 binary64)) t)) (/.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc)) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))))))))) Om) |
(* Om (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t))))) |
(*.f64 (*.f64 Om l) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 Omc (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc)))) |
(* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2)))) |
(*.f64 (*.f64 l (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) t) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 l l) Omc)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))))) (*.f64 Om Om)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 Omc (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc))))) Om) |
(* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (+ (/ (* l (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* t (pow (sqrt -1) 3)))) (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2))))))) (pow Om 4)) (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 Omc (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc))) l (*.f64 l (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) t) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) t) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 l l) Omc)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))))) (*.f64 Om Om))))) Om) |
(* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (+ (/ (* l (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* t (pow (sqrt -1) 3)))) (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2))))))) (pow Om 4)) (+ (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2)) (/ (* l (+ (* -1/128 (/ (* (pow Omc 5) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2))))) (* 1/16 (/ (* (pow Omc 5) (sqrt 1/2)) (* t (pow (sqrt -1) 5)))))) (pow Om 6)))))) |
(*.f64 (fma.f64 l (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 Omc (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc))) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) t) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (pow.f64 Om #s(literal 4 binary64)))) (*.f64 l (+.f64 (/.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)) (sqrt.f64 #s(literal 1/2 binary64))) t) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) t) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 l l) Omc)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))))) (*.f64 Om 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) (- (* 1/2 (/ 1 (pow Om 2))) (* 1/2 (/ 1 (pow Omc 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 Om Om)) (/.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Om Om)) |
(* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (/.f64 Om Omc)) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc))) Om) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Omc)) Om) |
(* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))) (/.f64 #s(literal 1 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 (pow.f64 Om #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 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 (pow.f64 Om #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #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))) |
(*.f64 (neg.f64 Om) (*.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) 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 (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 Omc (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc)))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 Omc (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l l) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc)) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64)))))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow Om 4) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 Omc #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) t) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))))) (fma.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 Om Om)) (/.f64 (*.f64 (*.f64 l l) Omc) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc)) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64))))))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow Om 2) (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* -1/128 (/ (* (pow Omc 5) (pow l 2)) (* (pow Om 6) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2)))))) (+ (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow Om 4) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))) (+ (* 1/16 (/ (* (pow Omc 5) (sqrt 1/2)) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (sqrt 1/2)) (* (pow Om 2) (* t (sqrt -1))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t))))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 Omc #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) t) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) Omc) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))))) (fma.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 Om Om) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 l l) Omc) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 l l)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 l l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 Om #s(literal 6 binary64)) t)) (/.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc)) (*.f64 (*.f64 (*.f64 Om Om) t) (sqrt.f64 #s(literal -1 binary64))))))))))) |
(* -1 (* Om (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))))) |
(*.f64 (neg.f64 (*.f64 Om l)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 Omc (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc)))) |
(* -1 (* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2))))) |
(*.f64 (neg.f64 Om) (*.f64 l (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) t) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 l l) Omc)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))))) (*.f64 Om Om)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 Omc (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc)))))) |
(* -1 (* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (+ (/ (* l (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* t (pow (sqrt -1) 3)))) (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2))))))) (pow Om 4)) (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2)))))) |
(*.f64 (neg.f64 Om) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 Omc (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc))) l (*.f64 l (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) t) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (pow.f64 Om #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) t) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 l l) Omc)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))))) (*.f64 Om Om)))))) |
(* -1 (* Om (+ (* l (+ (* -1/8 (/ (* (pow l 2) (sqrt -1)) (* Omc (* (pow t 3) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) (* Omc t)))) (+ (/ (* l (+ (* -1/8 (/ (* (pow Omc 3) (sqrt 1/2)) (* t (pow (sqrt -1) 3)))) (* 1/64 (/ (* (pow Omc 3) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2))))))) (pow Om 4)) (+ (/ (* l (+ (* -1/16 (/ (* Omc (pow l 2)) (* (pow t 3) (* (sqrt -1) (sqrt 1/2))))) (* 1/2 (/ (* Omc (sqrt 1/2)) (* t (sqrt -1)))))) (pow Om 2)) (/ (* l (+ (* -1/128 (/ (* (pow Omc 5) (pow l 2)) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2))))) (* 1/16 (/ (* (pow Omc 5) (sqrt 1/2)) (* t (pow (sqrt -1) 5)))))) (pow Om 6))))))) |
(*.f64 (neg.f64 Om) (fma.f64 l (+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 Omc (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc))) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) t) (/.f64 (*.f64 (pow.f64 Omc #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (pow.f64 Om #s(literal 4 binary64)))) (*.f64 l (+.f64 (/.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)) (sqrt.f64 #s(literal 1/2 binary64))) t) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 Omc #s(literal 5 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))))) (pow.f64 Om #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) t) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 l l) Omc)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))))) (*.f64 Om Om)))))) |
(* -1 (* (/ Om Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) |
(*.f64 (neg.f64 (/.f64 Om Omc)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(*.f64 (neg.f64 Om) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (/.f64 #s(literal 1 binary64) Omc)))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Omc))) |
(* -1 (* Om (+ (* -1/2 (* (/ Omc (pow Om 2)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/8 (* (/ (pow Omc 3) (pow Om 4)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* -1/16 (* (/ (pow Omc 5) (pow Om 6)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (/ 1 Omc) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))))) |
(*.f64 (neg.f64 Om) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 Omc (*.f64 Om Om)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Omc #s(literal 3 binary64)) (pow.f64 Om #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Omc #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))) (/.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 #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)) |
(/ (+ (* 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) |
(/ (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t)) Omc) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 Om (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 #s(literal 1/2 binary64))) t)) Omc) |
(/ (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Omc 2) (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) Omc) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 Om (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) t)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 l l)) (*.f64 (*.f64 Om (pow.f64 t #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 #s(literal 1/2 binary64))) t))) Omc) |
(/ (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Omc 2) (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (sqrt 1/2) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/64 (/ (pow l 2) (* (pow Om 3) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2))))))))))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) Omc) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 Om (*.f64 l l)) (pow.f64 t #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 Om (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 Om #s(literal 3 binary64))) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.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 (sqrt.f64 #s(literal 1/2 binary64)) Om)))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 #s(literal 1/2 binary64))) t))) Omc) |
(/ (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (+ (* (pow Omc 2) (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (+ (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (sqrt 1/2) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (+ (* 1/64 (/ (pow l 2) (* (pow Om 3) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))) (* (pow Omc 2) (+ (* -1/128 (/ (pow l 2) (* (pow Om 5) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2)))))) (* 1/16 (/ (sqrt 1/2) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))))))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) Omc) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 Om (*.f64 l l)) (pow.f64 t #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 Om (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 Om #s(literal 3 binary64)) t)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (pow.f64 Om #s(literal 5 binary64))) (/.f64 (*.f64 l l) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 Om #s(literal 5 binary64)) t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 Omc Omc) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 l l)) (*.f64 (pow.f64 Om #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64))))))) (*.f64 Omc Omc) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) t)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om)))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 #s(literal 1/2 binary64))) t))) Omc) |
(/ (* l (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) Omc) |
(*.f64 l (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 Om (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 #s(literal 1/2 binary64))) t)) Omc)) |
(/ (+ (* l (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) (* (pow Omc 2) (* l (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 Om (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 #s(literal 1/2 binary64))) t)) l (*.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) t)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 l l)) (*.f64 (*.f64 Om (pow.f64 t #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))) Omc) |
(/ (+ (* l (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) (* (pow Omc 2) (+ (* l (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))))) (* (pow Omc 2) (* l (+ (* -1/8 (/ (sqrt 1/2) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/64 (/ (pow l 2) (* (pow Om 3) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 Om #s(literal 3 binary64))) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 Om #s(literal 3 binary64)) t) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) t)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 l l)) (*.f64 (*.f64 Om (pow.f64 t #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) l)) (*.f64 Omc Omc) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 Om (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 #s(literal 1/2 binary64))) t)) l)) Omc) |
(/ (+ (* l (+ (* -1/8 (/ (* Om (* (pow l 2) (sqrt -1))) (* (pow t 3) (sqrt 1/2)))) (/ (* Om (* (sqrt -1) (sqrt 1/2))) t))) (* (pow Omc 2) (+ (* l (+ (* -1/16 (/ (pow l 2) (* Om (* (pow t 3) (* (sqrt -1) (sqrt 1/2)))))) (* 1/2 (/ (sqrt 1/2) (* Om (* t (sqrt -1))))))) (* (pow Omc 2) (+ (* l (+ (* -1/8 (/ (sqrt 1/2) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/64 (/ (pow l 2) (* (pow Om 3) (* (pow t 3) (* (pow (sqrt -1) 3) (sqrt 1/2)))))))) (* (pow Omc 2) (* l (+ (* -1/128 (/ (pow l 2) (* (pow Om 5) (* (pow t 3) (* (pow (sqrt -1) 5) (sqrt 1/2)))))) (* 1/16 (/ (sqrt 1/2) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 Omc Omc) l) (fma.f64 (/.f64 #s(literal -1/128 binary64) (pow.f64 Om #s(literal 5 binary64))) (/.f64 (*.f64 l l) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 Om #s(literal 5 binary64)) t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 Om #s(literal 3 binary64))) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 Om #s(literal 3 binary64)) t) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) l)) (*.f64 Omc Omc) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) t)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 l l)) (*.f64 (*.f64 Om (pow.f64 t #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) l)) (*.f64 Omc Omc) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 Om (*.f64 l l)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) (sqrt.f64 #s(literal 1/2 binary64))) t)) l)) Omc) |
(/ (+ (* -1/2 (pow Om 2)) (* 1/2 (pow Omc 2))) (pow Omc 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 Om Om) (*.f64 #s(literal 1/2 binary64) (*.f64 Omc Omc))) (*.f64 Omc Omc)) |
(/ (+ (* -1/2 (* (/ (pow Omc 2) Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) Omc) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 Omc Omc) Om) Om)) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/8 (* (/ (pow Omc 2) (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))) Omc) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 Omc Omc) (pow.f64 Om #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) Om)))) (*.f64 Omc Omc) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Om)) Omc) |
(/ (+ (* Om (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))) (* (pow Omc 2) (+ (* -1/2 (* (/ 1 Om) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (pow Om 3)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* -1/16 (* (/ (pow Omc 2) (pow Om 5)) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))))))) Omc) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Om) #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 Omc Omc) (pow.f64 Om #s(literal 5 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 Om #s(literal 3 binary64)))))) (*.f64 Omc Omc))) (*.f64 Omc Omc) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) Om)) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) Omc) (/.f64 (*.f64 Om Om) Omc) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))))))) |
(+ (* -1/2 (/ (* (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t)))) |
(fma.f64 (/.f64 #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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) #s(literal -1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))) |
(+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow Omc 2) t))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))) (/ (sqrt 1/2) t)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) t) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 Om 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))) (fma.f64 (*.f64 (*.f64 Om Om) (/.f64 (*.f64 l l) (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 Omc Omc)))) #s(literal 1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) |
(+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (sqrt 1/2)) (* (pow Omc 4) t))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* 1/64 (/ (* (pow Om 4) (pow l 2)) (* (pow Omc 4) (* (pow t 3) (sqrt 1/2))))) (+ (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))) (/ (sqrt 1/2) t)))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) t) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 Om Om) Omc)) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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 #s(literal 1/64 binary64) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (pow.f64 Om #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 Om Om) (/.f64 (*.f64 l l) (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 Omc Omc)))) #s(literal 1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))))) |
(+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (sqrt 1/2)) (* (pow Omc 4) t))) (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (+ (* -1/16 (/ (* (pow Om 6) (sqrt 1/2)) (* (pow Omc 6) t))) (+ (* 1/128 (/ (* (pow Om 6) (pow l 2)) (* (pow Omc 6) (* (pow t 3) (sqrt 1/2))))) (+ (* 1/64 (/ (* (pow Om 4) (pow l 2)) (* (pow Omc 4) (* (pow t 3) (sqrt 1/2))))) (+ (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow Omc 2) (* (pow t 3) (sqrt 1/2))))) (/ (sqrt 1/2) t)))))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) t) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 Om Om) Omc)) (fma.f64 #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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 #s(literal -1/16 binary64) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (fma.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 Omc #s(literal 6 binary64))) (*.f64 (pow.f64 Om #s(literal 6 binary64)) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64))))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (pow.f64 Om #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 Om Om) (/.f64 (*.f64 l l) (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 Omc Omc)))) #s(literal 1/16 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))) (/ (* l (+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) t)) (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2))) |
(*.f64 l (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 l Om) (*.f64 l Om)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 Om Om) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) #s(literal -1/2 binary64))) (*.f64 Omc 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 1/2) t))) (+ (/ (* l (+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) t)) (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2)) (/ (* l (+ (* -1/8 (/ (* (pow Om 4) (sqrt 1/2)) t)) (* 1/64 (/ (* (pow Om 4) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 4)))) |
(fma.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 (*.f64 l (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) #s(literal -1/8 binary64))) (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 l Om) (*.f64 l Om)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 Om Om) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) #s(literal -1/2 binary64))) (*.f64 Omc Omc))))) |
(+ (* l (+ (* -1/8 (/ (pow l 2) (* (pow t 3) (sqrt 1/2)))) (/ (sqrt 1/2) t))) (+ (/ (* l (+ (* -1/2 (/ (* (pow Om 2) (sqrt 1/2)) t)) (* 1/16 (/ (* (pow Om 2) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 2)) (+ (/ (* l (+ (* -1/8 (/ (* (pow Om 4) (sqrt 1/2)) t)) (* 1/64 (/ (* (pow Om 4) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 4)) (/ (* l (+ (* -1/16 (/ (* (pow Om 6) (sqrt 1/2)) t)) (* 1/128 (/ (* (pow Om 6) (pow l 2)) (* (pow t 3) (sqrt 1/2)))))) (pow Omc 6))))) |
(fma.f64 l (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 l Om) (*.f64 l Om)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 Om Om) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) #s(literal -1/2 binary64))) (*.f64 Omc 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))) (*.f64 l (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 Om #s(literal 6 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 Om #s(literal 6 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) #s(literal -1/16 binary64))) (pow.f64 Omc #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 Om #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) #s(literal -1/8 binary64))) (pow.f64 Omc #s(literal 4 binary64)))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1)))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 Om (*.f64 Omc Omc))) (sqrt.f64 #s(literal -1 binary64))))) |
(+ (* -1/8 (* (/ (pow Om 4) (* (pow Omc 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/16 (* (/ (pow Om 6) (* (pow Omc 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (+ (* 1/2 (* (/ (pow Om 2) (* (pow Omc 2) (sqrt -1))) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))) (* (sqrt -1) (sqrt (/ 1 (- (* -2 (/ (pow t 2) (pow l 2))) 1))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 Om #s(literal 4 binary64)) (pow.f64 Omc #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (pow.f64 Om #s(literal 6 binary64)) (pow.f64 Omc #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 Om (sqrt.f64 #s(literal -1 binary64))) (/.f64 Om (*.f64 Omc Omc))) (sqrt.f64 #s(literal -1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 675 |
| 0 | 150 | 648 |
| 1 | 555 | 623 |
| 2 | 4091 | 623 |
| 0 | 8482 | 598 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(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) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) |
(/.f64 Om (*.f64 Omc Omc)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))) |
(/.f64 (*.f64 t t) l) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (/.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))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 t t)) |
(*.f64 (*.f64 (neg.f64 t) t) (pow.f64 (neg.f64 l) #s(literal -1 binary64))) |
(*.f64 (*.f64 t t) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (/.f64 t l) t) |
(*.f64 t (/.f64 t l)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 t l) t)) |
(pow.f64 (/.f64 (/.f64 l (*.f64 t t)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 l (*.f64 t t)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 t) t)) (neg.f64 (neg.f64 l))) |
(/.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 l t)) |
(/.f64 (*.f64 (*.f64 t t) #s(literal 1 binary64)) l) |
(/.f64 (*.f64 (neg.f64 t) t) (neg.f64 l)) |
(/.f64 (*.f64 t t) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 t t)))) |
(/.f64 t (/.f64 l t)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (*.f64 t t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t t))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 t) t) l)) |
(neg.f64 (/.f64 (*.f64 t t) (neg.f64 l))) |
(exp.f64 (*.f64 (log.f64 (/.f64 l (*.f64 t t))) #s(literal -1 binary64))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) #s(literal -1/8 binary64))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) t)) l)) |
(*.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64)) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) |
(*.f64 (*.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) #s(literal -1/8 binary64)) l) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/8 binary64)) |
(*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) #s(literal -1/8 binary64))) |
(*.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) #s(literal -1/8 binary64)) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 l (pow.f64 t #s(literal 3 binary64))))) |
(*.f64 l (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) #s(literal -1/8 binary64)))) |
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) #s(literal -1/8 binary64)) l)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 l) (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) #s(literal -1/8 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) #s(literal -1/8 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) l) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 t #s(literal 3 binary64))) |
(/.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) l)) (pow.f64 t #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) #s(literal -1/8 binary64)) (neg.f64 l)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) #s(literal -1/8 binary64)) l)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (neg.f64 l) (*.f64 #s(literal -1/8 binary64) l)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 (*.f64 l (*.f64 #s(literal -1/8 binary64) l)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) l)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) l) (neg.f64 l)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) l) l) (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) l) #s(literal 1 binary64)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) |
(/.f64 (*.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) #s(literal -1/8 binary64)) l) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) #s(literal -1/8 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 l (pow.f64 t #s(literal 3 binary64))) #s(literal -1/8 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 (neg.f64 l) (pow.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 l (*.f64 t t))) |
(*.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 (neg.f64 (neg.f64 l)) (neg.f64 (neg.f64 (pow.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 (/.f64 l (*.f64 t t)) t) |
(/.f64 (neg.f64 l) (neg.f64 (pow.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 (neg.f64 (pow.f64 t #s(literal 3 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) #s(literal -1 binary64))) |
Compiled 56 028 to 4 665 computations (91.7% saved)
30 alts after pruning (25 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 907 | 17 | 924 |
| Fresh | 6 | 8 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 2 | 3 |
| Total | 916 | 30 | 946 |
| Status | Accuracy | Program |
|---|---|---|
| 47.8% | (fma.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64))) #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))))))) | |
| 49.1% | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))))))) | |
| 49.5% | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))))))) | |
| 45.2% | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))))))) | |
| 44.5% | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 45.2% | (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) | |
| 48.3% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (*.f64 (/.f64 t l) t) #s(literal -1 binary64)))))))) | |
| ✓ | 47.4% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
| 43.6% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (acos.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)))))))) | |
| 45.7% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 (/.f64 t l) (/.f64 t l))) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) | |
| 78.4% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64)))))) | |
| 80.7% | (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 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) | |
| ✓ | 72.0% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
| 78.4% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 t l)) t #s(literal 1 binary64)))))) | |
| 27.9% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l))))))) | |
| ✓ | 48.1% | (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)))))) |
| 41.7% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) | |
| 27.7% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 l l) t)))))) | |
| 47.6% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #s(literal 1 binary64))))) | |
| ✓ | 45.5% | (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))))) |
| 52.1% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) | |
| 49.6% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64)) (/.f64 l (pow.f64 t #s(literal 3 binary64)))))) l))) | |
| 37.1% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))) | |
| ✓ | 49.8% | (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)))))) |
| 49.1% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) | |
| 49.8% | (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)))))) | |
| 49.8% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (pow.f64 t #s(literal -1/2 binary64))) (pow.f64 t #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) | |
| 52.2% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) t)))) | |
| 49.8% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 l (/.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)))))) | |
| 21.3% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #s(approx (+ (* (sqrt (* (- 1 (pow (/ Om Omc) 2)) 1/2)) (pow t -1)) (* (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (sqrt (- 1 (pow (/ Om Omc) 2))))) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 l 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))) |
Compiled 4 074 to 1 368 computations (66.4% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #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 (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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 l l) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 t l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 l (/.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)))))) |
(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 #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)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) 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 (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 (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) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 (/.f64 t l) (/.f64 t l))) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (acos.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)))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) t)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(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 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 t l) t) l)))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 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 #s(approx (+ (* (sqrt (* (- 1 (pow (/ Om Omc) 2)) 1/2)) (pow t -1)) (* (* (* -1/8 (/ l (pow t 3))) (/ l (sqrt 1/2))) (sqrt (- 1 (pow (/ Om Omc) 2))))) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 l 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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (pow.f64 t #s(literal -1/2 binary64))) (pow.f64 t #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #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))))))) |
(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 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (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)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) #s(approx (* (* (sqrt (+ (* (neg Om) (/ Om (* Omc Omc))) 1)) (+ (* (* (/ l (pow t 3)) (/ l (sqrt 1/2))) -1/8) (/ (sqrt 1/2) t))) l) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (+.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)))))) |
(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))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (*.f64 (/.f64 t l) t) #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 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) #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 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) l))) |
(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 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 t #s(literal 3 binary64)))) (/.f64 l (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) l))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (fma.f64 (pow.f64 t #s(literal -1/2 binary64)) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/8 binary64)) (/.f64 l (pow.f64 t #s(literal 3 binary64)))))) l))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) #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))))))) |
(fma.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) #s(literal 3 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (-.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))))) #s(literal 3 binary64)))))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #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:
| 49.0ms | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 38.0ms | Omc |
| 34.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 28.0ms | l |
| 26.0ms | (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 |
|---|---|---|
| 87.0% | 2 | t |
| 88.6% | 2 | l |
| 81.2% | 1 | Om |
| 81.2% | 1 | Omc |
| 99.3% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 99.3% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 99.3% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 81.2% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 81.2% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 81.2% | 1 | (/.f64 Om Omc) |
| 99.3% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 99.3% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 99.3% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 99.3% | 2 | (/.f64 t l) |
Compiled 97 to 112 computations (-15.5% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #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 (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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 l l) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 t l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 l (/.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)))))) |
(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 #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)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) 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 (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 (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) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 (/.f64 t l) (/.f64 t l))) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (acos.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)))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) t)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(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 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) l) #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 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 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))) |
7 calls:
| 34.0ms | (/.f64 t l) |
| 11.0ms | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 9.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 8.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 8.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 99.2% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 99.2% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 99.2% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 99.2% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 99.2% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 99.2% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #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 (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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 l l) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 t l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 l (/.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)))))) |
(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 #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)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) 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 (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 (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) (*.f64 (neg.f64 t) (/.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 l t)))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 (/.f64 t l) (/.f64 t l))) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)))) (acos.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)))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) t)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(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 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #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:
| 23.0ms | (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)))))) |
| 21.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 8.0ms | (/.f64 t l) |
| 8.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 7.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 98.7% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 98.7% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 98.7% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 98.7% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 98.7% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 98.7% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #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 (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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 l l) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 t l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) t) l) t #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 l (/.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)))))) |
(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)))))) |
| 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 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 l (/.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)))))) |
7 calls:
| 13.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 4.0ms | (/.f64 t l) |
| 4.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 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))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 97.2% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 97.2% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 97.2% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 97.2% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 97.2% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 97.2% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #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 (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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 l l) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 t l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) t) l) 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) (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
14 calls:
| 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)))))) |
| 6.0ms | Om |
| 4.0ms | Omc |
| 4.0ms | l |
| 4.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 80.7% | 1 | (/.f64 Om Omc) |
| 80.7% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 80.7% | 1 | Om |
| 80.7% | 1 | Omc |
| 80.7% | 1 | t |
| 80.7% | 1 | l |
| 80.7% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 80.7% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 80.7% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 80.7% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 80.7% | 1 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 80.7% | 1 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 80.7% | 1 | (/.f64 t l) |
Compiled 97 to 112 computations (-15.5% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #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 (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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 l l) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 t l)) 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) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 t l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l))))))) |
14 calls:
| 38.0ms | (/.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) |
| 3.0ms | l |
| 3.0ms | Om |
| 3.0ms | Omc |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 78.4% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 78.4% | 1 | (/.f64 Om Omc) |
| 78.4% | 1 | l |
| 78.4% | 1 | Om |
| 80.3% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 80.3% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 80.3% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 80.3% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 80.3% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 80.3% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 78.4% | 1 | t |
| 78.4% | 1 | Omc |
| 80.3% | 2 | (/.f64 t l) |
Compiled 97 to 112 computations (-15.5% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #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 (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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 l l) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l))))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
14 calls:
| 50.0ms | (/.f64 t l) |
| 29.0ms | Om |
| 5.0ms | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 3.0ms | l |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 72.0% | 1 | (/.f64 Om Omc) |
| 74.9% | 2 | l |
| 72.0% | 1 | Omc |
| 72.0% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 73.8% | 2 | t |
| 72.0% | 1 | Om |
| 75.9% | 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))))))) |
| 75.9% | 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)))))) |
| 75.9% | 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))))) |
| 76.0% | 3 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 76.0% | 3 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 76.0% | 3 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 76.0% | 3 | (/.f64 t l) |
Compiled 97 to 112 computations (-15.5% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #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 (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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 l l) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
| 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)))))) |
8 calls:
| 11.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 3.0ms | l |
| 3.0ms | (/.f64 t l) |
| 3.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 3.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.1% | 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))))))) |
| 74.1% | 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)))))) |
| 74.1% | 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))))) |
| 74.1% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 74.1% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 74.1% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 74.1% | 2 | (/.f64 t l) |
| 72.0% | 1 | l |
Compiled 79 to 79 computations (0% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #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 (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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 l l) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) |
| 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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 l l) t)))))) |
14 calls:
| 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))))))) |
| 2.0ms | Omc |
| 2.0ms | t |
| 2.0ms | l |
| 2.0ms | Om |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.1% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 49.9% | 2 | (/.f64 Om Omc) |
| 48.1% | 1 | Om |
| 48.1% | 1 | Omc |
| 58.9% | 2 | l |
| 48.1% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 63.6% | 2 | t |
| 73.2% | 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))))))) |
| 73.2% | 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)))))) |
| 73.2% | 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))))) |
| 73.2% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 73.2% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 73.2% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 73.2% | 2 | (/.f64 t l) |
Compiled 97 to 112 computations (-15.5% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (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)) (+ (* (/ 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)))))) |
10 calls:
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 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 | t |
| 2.0ms | l |
| 2.0ms | (/.f64 t l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.1% | 1 | (/.f64 Om Omc) |
| 48.1% | 1 | l |
| 48.1% | 1 | t |
| 48.1% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 48.1% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 48.1% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 48.1% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 48.1% | 1 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 48.1% | 1 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 48.1% | 1 | (/.f64 t l) |
Compiled 83 to 88 computations (-6% saved)
Total -1.4b remaining (-4.1%)
Threshold costs -1.4b (-4.1%)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #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))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #s(literal 1 binary64))))) |
14 calls:
| 17.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 1.0ms | Om |
| 1.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 1.0ms | Omc |
| 1.0ms | (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 |
|---|---|---|
| 47.6% | 1 | (/.f64 Om Omc) |
| 47.6% | 1 | Om |
| 47.6% | 1 | Omc |
| 47.6% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 47.6% | 1 | (/.f64 t l) |
| 47.6% | 1 | t |
| 47.6% | 1 | l |
| 47.6% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 47.6% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 47.6% | 1 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 47.6% | 1 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 47.6% | 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))))))) |
| 47.6% | 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)))))) |
| 47.6% | 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 | 8.52513602889863e+146 | 6.279604936599054e+148 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.416118422842838e+101 | 7.80342594523857e+104 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.52513602889863e+146 | 6.279604936599054e+148 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.52513602889863e+146 | 6.279604936599054e+148 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.26793230553124e+126 | 5.502446617935569e+132 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 1.681398689859153e-185 | 5.225123312971846e-182 |
| 26.0ms | 24× | 1 | valid |
| 10.0ms | 104× | 0 | valid |
Compiled 638 to 471 computations (26.2% saved)
ival-asin: 22.0ms (68.3% of total)ival-div: 3.0ms (9.3% of total)ival-pow2: 3.0ms (9.3% of total)adjust: 1.0ms (3.1% of total)ival-sub: 1.0ms (3.1% of total)ival-sqrt: 1.0ms (3.1% of total)ival-add: 1.0ms (3.1% of total)ival-mult: 1.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.401579912886972e-9 | 1.4770527271583844e-7 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 192.52172091981305 | 724242.2235110439 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 767 |
| 1 | 212 | 750 |
| 2 | 360 | 750 |
| 3 | 745 | 750 |
| 4 | 1632 | 750 |
| 5 | 2908 | 750 |
| 6 | 5485 | 750 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 t l) #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 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 999999999999999977049513265245336628446842719924150006129995974731993452180789911303261294481511546880 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 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 t l) #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 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 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 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 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 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 l (/.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))))))) |
(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 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 t l) #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 (/.f64 #s(literal 2 binary64) l) (/.f64 t l)) t #s(literal 1 binary64)))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l)))))))) |
(if (<=.f64 l #s(literal 7774106816228693/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l))))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 3022314549036573/302231454903657293676544 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 200 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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 l l) t))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #s(literal 1 binary64))))) |
| Outputs |
|---|
(if (<=.f64 (/.f64 t l) #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 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 999999999999999977049513265245336628446842719924150006129995974731993452180789911303261294481511546880 binary64)) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 t (/.f64 (*.f64 (/.f64 t l) #s(literal 2 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 t l) #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 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 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 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 #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 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 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 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 l (/.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))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 l (/.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))))))) |
(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 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 t l) #s(literal 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 (/.f64 #s(literal 2 binary64) l) (/.f64 t l)) t #s(literal 1 binary64)))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 t l)) 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)) (pow.f64 #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l))) #s(literal -1 binary64)))))) |
(if (<=.f64 l #s(literal 7774106816228693/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l))))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))))) |
(if (<=.f64 l #s(literal 7774106816228693/149502054158244092924433911175587146134101311725520811805218980426523448679093940601025751001247626027946551200107541538756647476310030352326743206124657514520641361489437161884315621531536712531968 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (pow.f64 #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l))) #s(literal -1 binary64))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (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 3022314549036573/302231454903657293676544 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 3022314549036573/302231454903657293676544 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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (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 200 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)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 l l) t))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ t l) (* (/ t l) 2)) 1)) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 669 | 6416 |
| 1 | 2107 | 5325 |
| 0 | 8188 | 5023 |
| 0 | 886 | 9523 |
| 1 | 2969 | 8383 |
| 0 | 8830 | 7918 |
| 0 | 390 | 3487 |
| 1 | 1207 | 2957 |
| 2 | 4656 | 2748 |
| 0 | 8195 | 2632 |
| 0 | 88 | 675 |
| 0 | 150 | 648 |
| 1 | 555 | 623 |
| 2 | 4091 | 623 |
| 0 | 8482 | 598 |
| 0 | 16 | 73 |
| 0 | 26 | 73 |
| 1 | 100 | 73 |
| 2 | 734 | 73 |
| 3 | 7742 | 73 |
| 0 | 9001 | 69 |
| 0 | 59 | 389 |
| 0 | 103 | 364 |
| 1 | 378 | 348 |
| 2 | 2854 | 348 |
| 0 | 8815 | 333 |
| 0 | 1148 | 11228 |
| 1 | 3881 | 10120 |
| 0 | 8181 | 9603 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 715 to 794 computations (53.7% saved)
(abs Om)
(abs Omc)
Compiled 3 856 to 1 706 computations (55.8% saved)
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