
Time bar (total: 10.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 8 |
| 19.2% | 18.7% | 78.8% | 0.2% | 0% | 2.3% | 0% | 9 |
| 19.4% | 18.7% | 77.6% | 0.2% | 0% | 3.5% | 0% | 10 |
| 22.8% | 21.8% | 73.9% | 0.2% | 0% | 4.1% | 0% | 11 |
| 23.3% | 21.8% | 71.8% | 0.2% | 0% | 6.1% | 0% | 12 |
Compiled 21 to 18 computations (14.3% saved)
| 1.4s | 3 825× | 1 | valid |
| 905.0ms | 7 230× | 0 | invalid |
| 695.0ms | 4 431× | 0 | valid |
ival-div: 872.0ms (35.8% of total)ival-pow2: 589.0ms (24.2% of total)ival-asin: 211.0ms (8.7% of total)ival-sqrt: 199.0ms (8.2% of total)ival-sub: 159.0ms (6.5% of total)ival-mult: 141.0ms (5.8% of total)ival-add: 131.0ms (5.4% of total)adjust: 95.0ms (3.9% of total)exact: 16.0ms (0.7% of total)ival-true: 13.0ms (0.5% of total)ival-assert: 6.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 40 | 1 | (2.3412585071460592e+151 1.0200827934086648e-172 2.0727852024388497e-119 -4.556504861450035e-41) | 4 | (7.085069642545647e+219 3.365197620103596e+64 1.2947268873276285e-145 9.894393763380661e+157) | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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 | 125 | (2.6003203376153677e-303 -6.357371908608967e+111 -2.727190001674928e+29 -7.583321195212204e+134) | 0 | - | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 4 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | Om |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (/.f64 t l) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | Omc |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 Om Omc) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | l |
| 0 | 0 | - | 0 | - | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
asin.f64 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) | sensitivity | 129 | 0 |
sqrt.f64 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) | uflow-rescue | 37 | 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 | 59 | |
| ↳ | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) | underflow | 80 | |
| ↳ | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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 | 22 | |
| ↳ | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) | underflow | 80 | |
| ↳ | (/.f64 t l) | underflow | 34 | |
| ↳ | (/.f64 Om Omc) | underflow | 63 | |
| ↳ | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | underflow | 143 | |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) | n/o | 4 | 0 |
| ↳ | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) | overflow | 63 | |
| ↳ | (/.f64 t l) | overflow | 25 | |
| ↳ | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) | overflow | 63 | |
| ↳ | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) | overflow | 63 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 44 | 0 |
| - | 126 | 86 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 44 | 0 | 0 |
| - | 126 | 0 | 86 |
| number | freq |
|---|---|
| 0 | 86 |
| 1 | 170 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 87.0ms | 254× | 1 | valid |
| 29.0ms | 258× | 0 | valid |
Compiled 320 to 68 computations (78.8% saved)
adjust: 24.0ms (27.3% of total)ival-div: 19.0ms (21.6% of total)ival-pow2: 18.0ms (20.5% of total)ival-asin: 8.0ms (9.1% of total)ival-sqrt: 5.0ms (5.7% of total)ival-sub: 4.0ms (4.6% of total)ival-mult: 4.0ms (4.6% of total)ival-add: 3.0ms (3.4% of total)ival-true: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 278 |
| 1 | 192 | 270 |
| 2 | 396 | 270 |
| 3 | 1045 | 270 |
| 4 | 3026 | 270 |
| 5 | 6156 | 270 |
| 0 | 16 | 19 |
| 0 | 26 | 19 |
| 1 | 37 | 19 |
| 2 | 61 | 19 |
| 3 | 126 | 19 |
| 4 | 266 | 19 |
| 5 | 569 | 19 |
| 6 | 1184 | 19 |
| 7 | 2910 | 19 |
| 8 | 5151 | 19 |
| 9 | 7414 | 19 |
| 0 | 8085 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(abs Omc)
(abs Om)
(abs l)
(abs t)
Compiled 19 to 16 computations (15.8% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.5% | (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 | 0.25 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | |
| accuracy | 0.26171875 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) | |
| accuracy | 0.5908948480679557 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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 | 8.326969470145192 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 47.0ms | 127× | 1 | valid |
| 16.0ms | 129× | 0 | valid |
Compiled 200 to 34 computations (83% saved)
ival-div: 9.0ms (26.2% of total)ival-pow2: 7.0ms (20.3% of total)ival-asin: 6.0ms (17.4% of total)ival-sqrt: 4.0ms (11.6% of total)adjust: 3.0ms (8.7% of total)ival-sub: 2.0ms (5.8% of total)ival-add: 2.0ms (5.8% of total)ival-mult: 2.0ms (5.8% 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 t l) #s(literal 2 binary64)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| Outputs |
|---|
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(/ (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 | |
|---|---|---|---|---|
| 31.0ms | 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 (/ t l) 2) (pow (/ Om Omc) 2)) |
| 26.0ms | Omc | @ | 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 (/ t l) 2) (pow (/ Om Omc) 2)) |
| 5.0ms | 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 (/ t l) 2) (pow (/ Om Omc) 2)) |
| 3.0ms | t | @ | 0 | ((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ t l) 2) (pow (/ Om Omc) 2)) |
| 3.0ms | l | @ | 0 | ((+ 1 (* 2 (pow (/ t l) 2))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow (/ t l) 2) (pow (/ Om Omc) 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 t l) #s(literal 2 binary64)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64)))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
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(*.f64 (pow.f64 (*.f64 Om Om) #s(literal 1 binary64)) (pow.f64 (pow.f64 Omc #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) (/.f64 #s(literal -1 binary64) Omc)) |
(*.f64 (*.f64 (pow.f64 Omc #s(literal -2 binary64)) Om) (/.f64 #s(literal 1 binary64) (pow.f64 Om #s(literal -1 binary64)))) |
(*.f64 (*.f64 (pow.f64 Omc #s(literal -2 binary64)) Om) Om) |
(*.f64 (*.f64 (/.f64 Om Omc) Om) (pow.f64 Omc #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 (/.f64 #s(literal -1 binary64) Omc) (pow.f64 Om #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 (neg.f64 Om) Omc)) |
(*.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Omc Om))) |
(*.f64 (sqrt.f64 (/.f64 Om Omc)) (*.f64 (sqrt.f64 (/.f64 Om Omc)) (/.f64 Om Omc))) |
(*.f64 (*.f64 (neg.f64 Om) Om) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Omc) Omc))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 Omc #s(literal -2 binary64)) (/.f64 Om (pow.f64 Om #s(literal -1 binary64)))) |
(*.f64 (pow.f64 Omc #s(literal -2 binary64)) (*.f64 Om Om)) |
(*.f64 (*.f64 Om Om) (*.f64 (pow.f64 Omc #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 Om Om) (*.f64 (/.f64 #s(literal -1 binary64) Omc) (/.f64 #s(literal -1 binary64) Omc))) |
(*.f64 (*.f64 Om Om) (/.f64 #s(literal 1 binary64) (*.f64 Omc Omc))) |
(*.f64 (*.f64 Om Om) (pow.f64 (/.f64 #s(literal -1 binary64) Omc) #s(literal 2 binary64))) |
(*.f64 (*.f64 Om Om) (pow.f64 Omc #s(literal -2 binary64))) |
(*.f64 (pow.f64 Omc #s(literal -1 binary64)) (/.f64 (/.f64 Om Omc) (pow.f64 Om #s(literal -1 binary64)))) |
(*.f64 (pow.f64 Omc #s(literal -1 binary64)) (*.f64 (/.f64 Om Omc) Om)) |
(*.f64 (neg.f64 Om) (/.f64 (neg.f64 Om) (*.f64 Omc Omc))) |
(*.f64 (neg.f64 Om) (/.f64 Om (*.f64 (neg.f64 Omc) Omc))) |
(*.f64 (neg.f64 Om) (/.f64 (/.f64 #s(literal -1 binary64) Omc) (/.f64 Omc Om))) |
(*.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) (neg.f64 Omc))) |
(*.f64 (neg.f64 Om) (*.f64 (/.f64 #s(literal -1 binary64) Omc) (/.f64 Om Omc))) |
(*.f64 (neg.f64 Om) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 Omc Om) (neg.f64 Omc)))) |
(*.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(*.f64 Om (/.f64 (neg.f64 Om) (*.f64 (neg.f64 Omc) Omc))) |
(*.f64 Om (/.f64 Om (*.f64 Omc Omc))) |
(*.f64 Om (*.f64 Om (pow.f64 Omc #s(literal -2 binary64)))) |
(*.f64 Om (*.f64 (*.f64 (pow.f64 Omc #s(literal -2 binary64)) Om) #s(literal 1 binary64))) |
(*.f64 Om (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 Omc Om) Omc))) |
(*.f64 Om (pow.f64 (*.f64 (pow.f64 Omc #s(literal -2 binary64)) Om) #s(literal 1 binary64))) |
(*.f64 Om (*.f64 (pow.f64 Omc #s(literal -2 binary64)) Om)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 Om Omc))) |
(pow.f64 (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 Omc Om) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) #s(literal -1 binary64)) Omc) |
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) #s(literal 1 binary64)) (neg.f64 Omc)) |
(/.f64 (*.f64 (*.f64 (neg.f64 Om) Om) #s(literal 1 binary64)) (*.f64 (neg.f64 Omc) Omc)) |
(/.f64 (*.f64 (*.f64 Om Om) #s(literal 1 binary64)) (*.f64 Omc Omc)) |
(/.f64 (*.f64 (*.f64 (/.f64 Om Omc) Om) #s(literal -1 binary64)) (neg.f64 Omc)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 Om) Om)) (*.f64 (neg.f64 Omc) Omc)) |
(/.f64 (*.f64 (/.f64 Om Omc) #s(literal -1 binary64)) (/.f64 (neg.f64 Omc) Om)) |
(/.f64 (*.f64 (*.f64 (/.f64 Om Omc) Om) #s(literal 1 binary64)) Omc) |
(/.f64 (*.f64 (/.f64 (neg.f64 Om) Omc) Om) (neg.f64 Omc)) |
(/.f64 (*.f64 (pow.f64 Omc #s(literal -2 binary64)) Om) (pow.f64 Om #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 Om Omc) Om) Omc) |
(/.f64 (/.f64 (neg.f64 Om) Omc) (/.f64 (neg.f64 Omc) Om)) |
(/.f64 (*.f64 (neg.f64 Om) Om) (*.f64 (neg.f64 Omc) Omc)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 Omc Om) (/.f64 (neg.f64 Omc) Om))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)))) |
(/.f64 (*.f64 Om Om) (*.f64 Omc Omc)) |
(/.f64 (neg.f64 Om) (*.f64 (/.f64 Omc Om) (neg.f64 Omc))) |
(/.f64 (/.f64 Om Omc) (/.f64 Omc Om)) |
(/.f64 Om (neg.f64 (*.f64 (/.f64 Omc Om) (neg.f64 Omc)))) |
(/.f64 Om (*.f64 (/.f64 Omc Om) Omc)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 Omc) (*.f64 (/.f64 (neg.f64 Om) Omc) Om))) |
(/.f64 #s(literal 1 binary64) (/.f64 Omc (*.f64 (/.f64 Om Omc) Om))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 Omc) Omc) (*.f64 (neg.f64 Om) Om))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 Omc Omc) (*.f64 Om Om))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Omc Om) #s(literal 2 binary64))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
Compiled 21 945 to 3 075 computations (86% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 597 | 17 | 614 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 598 | 17 | 615 |
| Status | Accuracy | Program |
|---|---|---|
| 51.6% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| ▶ | 52.1% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
| 63.2% | (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 63.2% | (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))) | |
| 85.5% | (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))))) | |
| 82.6% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))) | |
| ▶ | 83.3% | (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) (/.f64 t (*.f64 (/.f64 l t) l))))))) |
| 82.6% | (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 #s(literal 1 binary64) (/.f64 l (*.f64 (/.f64 t l) t)))))))) | |
| ▶ | 85.6% | (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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))))) |
| 72.9% | (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 t (/.f64 t (*.f64 l l)))))))) | |
| ▶ | 53.2% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) |
| 81.7% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 Om (/.f64 Om (*.f64 Omc Omc)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) | |
| ▶ | 50.8% | (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))))) |
| 71.6% | (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)))))) | |
| 21.1% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) | |
| 46.2% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) | |
| 40.0% | (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))) |
Compiled 1 024 to 758 computations (26% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (sqrt.f64 (PI.f64)) | |
| cost-diff | 1600 | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| cost-diff | 0 | (/.f64 (-.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))))) | |
| 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 t (*.f64 (/.f64 l t) l)))))) | |
| 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 t (*.f64 (/.f64 l t) l))))))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))) | |
| 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 (-.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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))) | |
| 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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 599 |
| 0 | 104 | 608 |
| 1 | 171 | 598 |
| 2 | 318 | 559 |
| 3 | 690 | 553 |
| 4 | 1561 | 536 |
| 5 | 3519 | 536 |
| 6 | 6760 | 536 |
| 0 | 8267 | 530 |
| 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) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t))))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t))) |
#s(literal -1 binary64) |
(*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)) |
(/.f64 l t) |
l |
t |
(/.f64 (neg.f64 l) t) |
(neg.f64 l) |
(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 t (*.f64 (/.f64 l t) l))))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))) |
(*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))) |
(/.f64 t (*.f64 (/.f64 l t) l)) |
t |
(*.f64 (/.f64 l t) l) |
(/.f64 l t) |
l |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
t |
l |
#s(literal -1 binary64) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))))) |
(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))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t))))))) |
(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))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))) |
(/.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) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))) |
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t))) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
#s(literal -1 binary64) |
(*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)) |
(*.f64 (/.f64 (/.f64 l t) t) (neg.f64 l)) |
(/.f64 l t) |
l |
t |
(/.f64 (neg.f64 l) t) |
(neg.f64 l) |
(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 t (*.f64 (/.f64 l t) l))))))) |
(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))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))) |
(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))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))) |
(/.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) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))) |
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 t (*.f64 (/.f64 l t) l)) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
t |
(*.f64 (/.f64 l t) l) |
(/.f64 l t) |
l |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(-.f64 (*.f64 #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)))))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (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)))))) |
(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 2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) |
#s(literal -2 binary64) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
(/.f64 t l) |
t |
l |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 8.326969470145192 | (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) | |
| accuracy | 28.102221400003536 | (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) | |
| accuracy | 29.646520234891 | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| accuracy | 0.25 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | |
| accuracy | 0.5908948480679557 | (/.f64 (-.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))))) | |
| accuracy | 2.7197300363979013 | (/.f64 t (*.f64 (/.f64 l t) l)) | |
| accuracy | 8.326969470145192 | (sqrt.f64 (/.f64 (-.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)))))) | |
| accuracy | 0.25 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | |
| accuracy | 0.5908948480679557 | (/.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 | 8.326969470145192 | (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 | 30.103742466123105 | #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)) | |
| accuracy | 0.1643608308349676 | (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 | 8.044622316980481 | (/.f64 Om (*.f64 Omc Omc)) | |
| accuracy | 8.326969470145192 | (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 | 30.1074568912133 | #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 | 0.25 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) | |
| accuracy | 0.3164584165685614 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t))) | |
| accuracy | 0.5908948480679557 | (/.f64 (-.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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))) | |
| accuracy | 8.326969470145192 | (sqrt.f64 (/.f64 (-.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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t))))))) |
| 175.0ms | 98× | 2 | valid |
| 152.0ms | 154× | 1 | valid |
| 2.0ms | 4× | 0 | valid |
Compiled 1 170 to 117 computations (90% saved)
ival-div: 42.0ms (21.9% of total)ival-sqrt: 29.0ms (15.1% of total)adjust: 25.0ms (13% of total)ival-mult: 25.0ms (13% of total)ival-acos: 16.0ms (8.3% of total)ival-asin: 16.0ms (8.3% of total)ival-add: 14.0ms (7.3% of total)ival-pow2: 11.0ms (5.7% of total)ival-sub: 6.0ms (3.1% of total)ival-neg: 5.0ms (2.6% of total)ival-pi: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))) |
(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 #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 t (*.f64 (/.f64 l t) l))))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t))) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om (*.f64 Omc Omc)) |
#s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)) |
(/.f64 t (*.f64 (/.f64 l t) l)) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
| Outputs |
|---|
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (* 1/2 (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)))))))))) |
(* 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)) |
(- (* 1/2 (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)) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (/ (* l (sqrt -1/2)) 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 Om) |
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 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)))))))) |
(* -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 | |
|---|---|---|---|---|
| 8.0ms | t | @ | inf | ((+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 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 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l)))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (/ -1 (* (/ l t) (/ (neg l) t))) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (+ 1 (* 2 (pow (/ t l) 2))) (/ t (* (/ l t) l)) (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)))) |
| 7.0ms | t | @ | 0 | ((+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 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 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l)))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (/ -1 (* (/ l t) (/ (neg l) t))) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (+ 1 (* 2 (pow (/ t l) 2))) (/ t (* (/ l t) l)) (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)))) |
| 5.0ms | Om | @ | inf | ((+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 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 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l)))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (/ -1 (* (/ l t) (/ (neg l) t))) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (+ 1 (* 2 (pow (/ t l) 2))) (/ t (* (/ l t) l)) (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)))) |
| 5.0ms | l | @ | 0 | ((+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 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 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l)))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (/ -1 (* (/ l t) (/ (neg l) t))) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (+ 1 (* 2 (pow (/ t l) 2))) (/ t (* (/ l t) l)) (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)))) |
| 3.0ms | l | @ | inf | ((+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 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 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l)))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l)))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ t (* (/ l t) l))))) (+ (* (sqrt (PI)) (* (sqrt (PI)) 1/2)) (neg (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))))) (sqrt (PI)) (PI) (* (sqrt (PI)) 1/2) (/ -1 (* (/ l t) (/ (neg l) t))) (pow (/ Om Omc) 2) (/ Om (* Omc Omc)) (+ 1 (* 2 (pow (/ t l) 2))) (/ t (* (/ l t) l)) (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 | 667 | 6410 |
| 1 | 2101 | 5319 |
| 0 | 8163 | 5017 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (* 1/2 (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)))))))))) |
(* 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)) |
(- (* 1/2 (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)) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (/ (* l (sqrt -1/2)) 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 Om) |
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 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)))))))) |
(* -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 |
|---|
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 (-.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)))) |
(- (* 1/2 (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)))))))) |
(* 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 (-.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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(+ (* -1/2 (* (/ (+ (* 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 Om) |
(neg.f64 Om) |
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(/ (pow Om 2) (pow Omc 2)) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/ 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 (*.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 (/ (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 -1/8 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 (/.f64 Om Omc) Omc)) (sqrt.f64 #s(literal -1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 413 |
| 0 | 104 | 408 |
| 1 | 376 | 364 |
| 2 | 2988 | 364 |
| 0 | 8182 | 349 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))) |
(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 #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 t (*.f64 (/.f64 l t) l))))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(sqrt.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t))) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om (*.f64 Omc Omc)) |
#s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64)) |
(/.f64 t (*.f64 (/.f64 l t) l)) |
(acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
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(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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (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 #s(literal 1/2 binary64) (PI.f64) (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 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 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 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (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 (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 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (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))))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.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)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (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))))))) |
(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))))) |
(*.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 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 t l) #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 #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 (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 #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 (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 #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 (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 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 (*.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 #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 (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 (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 (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 (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 t l) #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 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) (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))) |
Compiled 34 021 to 4 299 computations (87.4% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 942 | 11 | 953 |
| Fresh | 6 | 6 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 952 | 18 | 970 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.0% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
| 51.0% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 53.4% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))))))) | |
| 50.8% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) | |
| 53.2% | (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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)))))))) | |
| ▶ | 83.3% | (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) |
| ▶ | 72.9% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))) |
| 82.6% | (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 #s(literal 1 binary64) (/.f64 l (*.f64 (/.f64 t l) t)))))))) | |
| 73.9% | (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 t (*.f64 (/.f64 l t) l))))))) | |
| 75.8% | (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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))))) | |
| 81.7% | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 Om (/.f64 Om (*.f64 Omc Omc)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) | |
| ▶ | 53.2% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
| ✓ | 50.8% | (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))))) |
| 71.6% | (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)))))) | |
| 21.1% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) | |
| 46.2% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) | |
| 40.0% | (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))) | |
| ▶ | 48.5% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.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))))))) |
Compiled 1 205 to 878 computations (27.1% 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 #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)))))))) | |
| 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 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #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 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #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 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.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)))))) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.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))))))) | |
| 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 (/.f64 Om 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 (/.f64 Om 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 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 654 |
| 0 | 113 | 658 |
| 1 | 201 | 600 |
| 2 | 393 | 594 |
| 3 | 730 | 594 |
| 4 | 1489 | 594 |
| 5 | 3288 | 594 |
| 6 | 6166 | 594 |
| 0 | 8104 | 576 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) |
(sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))) |
(/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))) |
(fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) |
(/.f64 (/.f64 Om Omc) Omc) |
(/.f64 Om Omc) |
Om |
Omc |
(neg.f64 Om) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))) |
(*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))) |
#s(literal 2 binary64) |
(/.f64 t (*.f64 (/.f64 l t) l)) |
t |
(*.f64 (/.f64 l t) l) |
(/.f64 l t) |
l |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om 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 (/.f64 Om 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 (/.f64 Om Omc) Omc) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64)) |
(neg.f64 Om) |
Om |
(/.f64 (/.f64 Om Omc) Omc) |
(/.f64 Om Omc) |
Omc |
#s(literal 1 binary64) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.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))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.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)))))) |
(*.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))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
l |
t |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om 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) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 2 binary64) |
(fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)) |
(/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) |
(*.f64 t #s(literal 2 binary64)) |
t |
(*.f64 l l) |
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 #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)))))))) |
(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 #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))))))) |
(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)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (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 |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 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))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
(/.f64 (/.f64 Om Omc) Omc) |
(/.f64 Om Omc) |
Om |
Omc |
(neg.f64 Om) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))) |
(*.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 t (*.f64 (/.f64 l t) l)) |
(pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
t |
(*.f64 (/.f64 l t) l) |
(/.f64 l t) |
l |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om 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 (/.f64 Om 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 (/.f64 Om 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 (/.f64 Om 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 (/.f64 Om Omc) Omc) |
(/.f64 Om Omc) |
Omc |
#s(literal 1 binary64) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.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 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.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)))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
l |
t |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
#s(literal 2 binary64) |
(fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) |
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) |
(*.f64 t #s(literal 2 binary64)) |
t |
(*.f64 l l) |
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 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) |
(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 #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))))))) |
(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)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (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 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.326969470145192 | (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))))) | |
| accuracy | 28.102221400003536 | (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)))))) | |
| accuracy | 29.10906618398861 | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) | |
| accuracy | 30.1074568912133 | #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)))) | |
| accuracy | 0.5908948480679557 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))) | |
| accuracy | 1.4581080656143524 | (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)) | |
| accuracy | 8.258105683718432 | (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) | |
| accuracy | 8.326969470145192 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)))) | |
| accuracy | 0.17578125 | (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) | |
| accuracy | 0.25 | (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) | |
| accuracy | 0.39453125 | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) | |
| accuracy | 31.269586852926572 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.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)))))) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 Om Omc) Omc) | |
| accuracy | 0.1643608308349676 | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) | |
| accuracy | 8.326969470145192 | (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64)))) | |
| accuracy | 30.1074568912133 | #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))) | |
| accuracy | 0.1643608308349676 | (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) | |
| accuracy | 0.5908948480679557 | (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))) | |
| accuracy | 2.7197300363979013 | (/.f64 t (*.f64 (/.f64 l t) l)) | |
| accuracy | 8.326969470145192 | (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))) |
| 205.0ms | 154× | 1 | valid |
| 184.0ms | 98× | 2 | valid |
| 2.0ms | 4× | 0 | valid |
Compiled 1 214 to 136 computations (88.8% saved)
ival-mult: 53.0ms (17.9% of total)ival-add: 52.0ms (17.6% of total)ival-div: 45.0ms (15.2% of total)ival-sqrt: 31.0ms (10.5% of total)adjust: 29.0ms (9.8% of total)ival-asin: 22.0ms (7.4% of total)ival-cbrt: 20.0ms (6.8% of total)ival-pow2: 16.0ms (5.4% of total)ival-acos: 15.0ms (5.1% of total)ival-sub: 5.0ms (1.7% of total)ival-neg: 5.0ms (1.7% of total)ival-pi: 2.0ms (0.7% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))) |
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) |
(sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))) |
(/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om 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 (/.f64 Om 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 (/.f64 Om Omc) Omc) #s(literal 1 binary64))) |
(neg.f64 Om) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.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))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.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)))))) |
(*.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))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))) |
(-.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)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(PI.f64) |
(/.f64 t (*.f64 (/.f64 l t) l)) |
(/.f64 (/.f64 Om Omc) Omc) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) |
(fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #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)))) |
(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)))))) |
(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))))) |
| Outputs |
|---|
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(asin (sqrt (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4)))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 6)))) (+ (* 8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (/ 1 (pow l 6)))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) |
(+ 1 (+ (* -2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1 (/ (pow Om 2) (pow Omc 2))))) |
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* 4 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (* 2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))))) |
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))) (* 2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (* 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)))))))) |
(/ (pow t 2) (pow l 2)) |
(* 2 (/ t (pow l 2))) |
(acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 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)))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))) t) |
(* 1/2 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 6))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))))) (pow t 2)) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (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 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))) t)) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 6))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 8))) (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))))) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* l (sqrt 1/2)) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (pow l 6)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(- (+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* 4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2)))) |
(- (+ 1 (+ (* -8 (/ (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))))) |
(+ (sqrt (- 1 (/ (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)))))) |
(* -1 Om) |
(+ (* -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)) |
(/ Om (pow Omc 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)))))))) |
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)) |
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(* -1 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2)))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (- (pow Omc 2) (pow Om 2)) (pow Omc 2)) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | t | @ | 0 | ((+ 1 (* 2 (/ t (* (/ l t) l)))) (asin (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ 1 (* 2 (/ t (* (/ l t) l))))))) (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ 1 (* 2 (/ t (* (/ l t) l)))))) (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ 1 (* 2 (/ t (* (/ l 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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (neg Om) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (* (sqrt 1/2) l) t) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* t 2) (* l l)) t) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* t 2) (* l l)) t) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* t 2) (* l l)) t) 1)) (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (/ t (* (/ l t) l)) (/ (/ Om Omc) Omc) (* (sqrt 1/2) l) (* (/ Om Omc) (/ Om Omc)) (/ (* t 2) (* l l)) (+ (* (/ (* t 2) (* l l)) t) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) |
| 11.0ms | l | @ | inf | ((+ 1 (* 2 (/ t (* (/ l t) l)))) (asin (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ 1 (* 2 (/ t (* (/ l t) l))))))) (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ 1 (* 2 (/ t (* (/ l t) l)))))) (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ 1 (* 2 (/ t (* (/ l 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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (neg Om) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (* (sqrt 1/2) l) t) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* t 2) (* l l)) t) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* t 2) (* l l)) t) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* t 2) (* l l)) t) 1)) (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (/ t (* (/ l t) l)) (/ (/ Om Omc) Omc) (* (sqrt 1/2) l) (* (/ Om Omc) (/ Om Omc)) (/ (* t 2) (* l l)) (+ (* (/ (* t 2) (* l l)) t) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) |
| 11.0ms | Om | @ | 0 | ((+ 1 (* 2 (/ t (* (/ l t) l)))) (asin (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ 1 (* 2 (/ t (* (/ l t) l))))))) (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ 1 (* 2 (/ t (* (/ l t) l)))))) (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ 1 (* 2 (/ t (* (/ l 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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (neg Om) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (* (sqrt 1/2) l) t) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* t 2) (* l l)) t) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* t 2) (* l l)) t) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* t 2) (* l l)) t) 1)) (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (/ t (* (/ l t) l)) (/ (/ Om Omc) Omc) (* (sqrt 1/2) l) (* (/ Om Omc) (/ Om Omc)) (/ (* t 2) (* l l)) (+ (* (/ (* t 2) (* l l)) t) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) |
| 6.0ms | t | @ | inf | ((+ 1 (* 2 (/ t (* (/ l t) l)))) (asin (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ 1 (* 2 (/ t (* (/ l t) l))))))) (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ 1 (* 2 (/ t (* (/ l t) l)))))) (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ 1 (* 2 (/ t (* (/ l 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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (neg Om) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (* (sqrt 1/2) l) t) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* t 2) (* l l)) t) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* t 2) (* l l)) t) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* t 2) (* l l)) t) 1)) (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (/ t (* (/ l t) l)) (/ (/ Om Omc) Omc) (* (sqrt 1/2) l) (* (/ Om Omc) (/ Om Omc)) (/ (* t 2) (* l l)) (+ (* (/ (* t 2) (* l l)) t) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) |
| 6.0ms | Omc | @ | 0 | ((+ 1 (* 2 (/ t (* (/ l t) l)))) (asin (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ 1 (* 2 (/ t (* (/ l t) l))))))) (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ 1 (* 2 (/ t (* (/ l t) l)))))) (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ 1 (* 2 (/ t (* (/ l 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))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (neg Om) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (* (/ (* (sqrt 1/2) l) t) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (/ (* (sqrt 1/2) l) t) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* t 2) (* l l)) t) 1)))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* t 2) (* l l)) t) 1))) (/ (- 1 (pow (/ Om Omc) 2)) (+ (* (/ (* t 2) (* l l)) t) 1)) (- 1 (pow (/ Om Omc) 2)) (+ (* (pow (cbrt (PI)) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (pow (cbrt (PI)) 2) (cbrt (PI)) (PI) (/ t (* (/ l t) l)) (/ (/ Om Omc) Omc) (* (sqrt 1/2) l) (* (/ Om Omc) (/ Om Omc)) (/ (* t 2) (* l l)) (+ (* (/ (* t 2) (* l l)) t) 1) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (acos (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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 708 | 6490 |
| 1 | 2566 | 5699 |
| 0 | 8337 | 5477 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 2 (/ (pow t 2) (pow l 2)))) |
(asin (sqrt (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4)))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 6)))) (+ (* 8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (/ 1 (pow l 6)))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) |
(+ 1 (+ (* -2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1 (/ (pow Om 2) (pow Omc 2))))) |
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* 4 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (* 2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))))) |
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))) (* 2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))))) |
(asin (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/2 (* (* (pow t 2) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) |
(/ (* 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)))))))) |
(/ (pow t 2) (pow l 2)) |
(* 2 (/ t (pow l 2))) |
(acos (sqrt (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (+ 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)))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))) t) |
(* 1/2 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 6))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))))) (pow t 2)) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (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 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))) t)) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 6))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 8))) (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))))) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))) (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(* l (sqrt 1/2)) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (pow l 6)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(- (+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* 4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2)))) |
(- (+ 1 (+ (* -8 (/ (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))))) |
(+ (sqrt (- 1 (/ (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)))))) |
(* -1 Om) |
(+ (* -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)) |
(/ Om (pow Omc 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)))))))) |
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)) |
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(* -1 (/ (pow Om 2) (pow Omc 2))) |
(* (pow Om 2) (- (/ 1 (pow Om 2)) (/ 1 (pow Omc 2)))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (- (pow Omc 2) (pow Om 2)) (pow Omc 2)) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t)))) |
| Outputs |
|---|
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 (* -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 (* -1 (/ (pow Om 2) (pow Omc 2))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(*.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 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(fma.f64 (fma.f64 #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) #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 (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 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64)))) (*.f64 t t))))) |
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(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
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(*.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 (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) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.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))) t) (/.f64 (*.f64 l l) (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)))))) (*.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 (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) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))))) |
(*.f64 (fma.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 (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)) (*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (*.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))))) (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 (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) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))))))))) l) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (/.f64 (*.f64 l l) (pow.f64 t #s(literal 4 binary64)))) #s(literal -1/4 binary64))) (*.f64 l l)) |
(* (pow l 2) (+ (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 6))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))))) |
(*.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 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 8))) (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))))) |
(*.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 (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 l l)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.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) |
(* 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)))))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.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))) t) (/.f64 (*.f64 l l) (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)))))) (*.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 (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) |
(* 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))))))))))))) |
(*.f64 (fma.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 (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)) (*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (*.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))))) (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 (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) (/.f64 (*.f64 l l) (sqrt.f64 #s(literal 1/2 binary64))))))))) l) |
(* (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 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (/.f64 (*.f64 l l) (pow.f64 t #s(literal 4 binary64)))) #s(literal -1/4 binary64))) (*.f64 l l)) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) t) (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 4 binary64))) #s(literal -1/4 binary64))) (*.f64 l l))) (*.f64 l l)) |
(* (pow l 2) (+ (* 1/2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))))) (* 1/4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 4))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) t) (*.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 l l)) |
(* l (sqrt 1/2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(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 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (pow l 6)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(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))))) (fma.f64 #s(literal -3 binary64) (*.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)))) (/.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 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* 4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2)))) |
(-.f64 (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 Om Omc) (/.f64 Om Omc) (*.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l))))) |
(- (+ 1 (+ (* -8 (/ (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))))) |
(-.f64 (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))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
(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))))) (fma.f64 #s(literal -3 binary64) (*.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)))) (/.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 Om Omc) (/.f64 Om Omc) (*.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l))))) |
(- (+ 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 Om Omc) (/.f64 Om Omc) (*.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)))))) |
(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 Om) |
(neg.f64 Om) |
(+ (* -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 Om (/.f64 Om (pow.f64 Omc #s(literal 4 binary64)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) #s(literal -1/8 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 l (*.f64 Omc Omc))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) (*.f64 Om Om) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 l (*.f64 Omc Omc))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 l (pow.f64 Omc #s(literal 4 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (*.f64 (*.f64 Om (/.f64 Om (pow.f64 Omc #s(literal 6 binary64)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) #s(literal -1/16 binary64)))) (*.f64 Om Om))) (*.f64 Om Om) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t)) |
(/ Om (pow Omc 2)) |
(/.f64 Om (*.f64 Omc Omc)) |
(/ (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)))) (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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #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 (*.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)) |
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)) |
(*.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 Om (*.f64 Omc t))) |
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t)))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (/.f64 (*.f64 (/.f64 l (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t))))) 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)) |
(* -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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #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 (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))) |
(*.f64 (neg.f64 Om) (*.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(* -1 (* 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))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t))) (neg.f64 Om)) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(*.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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t)))) (neg.f64 Om)) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 Omc #s(literal 5 binary64))) (/.f64 (*.f64 (/.f64 l (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t))))) (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 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 Om #s(literal 3 binary64)) #s(literal -1 binary64)) (sqrt.f64 #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)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/.f64 (fma.f64 (*.f64 (*.f64 Omc Omc) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Om) (/.f64 l (*.f64 (sqrt.f64 #s(literal -1 binary64)) t))) (*.f64 (*.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 Om 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 Omc Omc)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 3 binary64)) t) #s(literal -1 binary64)) (sqrt.f64 #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 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 Om 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 -1/8 binary64) (/.f64 l (pow.f64 Om #s(literal 3 binary64)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) Omc) #s(literal 1/16 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 1/2 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 l (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 Om t))) Omc) |
(/ (- (pow Omc 2) (pow Om 2)) (pow Omc 2)) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 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 (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) (*.f64 Om Om)) (*.f64 (/.f64 l (*.f64 Omc Omc)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (*.f64 (/.f64 l (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -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) (*.f64 Om Om)) (*.f64 (/.f64 l (*.f64 Omc Omc)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (*.f64 (/.f64 l (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 495 |
| 0 | 113 | 489 |
| 1 | 424 | 441 |
| 2 | 3229 | 438 |
| 0 | 9208 | 420 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))) |
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) |
(sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l)))))) |
(/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om 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 (/.f64 Om 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 (/.f64 Om Omc) Omc) #s(literal 1 binary64))) |
(neg.f64 Om) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.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))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.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)))))) |
(*.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))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))) |
(-.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)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(cbrt.f64 (PI.f64)) |
(PI.f64) |
(/.f64 t (*.f64 (/.f64 l t) l)) |
(/.f64 (/.f64 Om Omc) Omc) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) |
(fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #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)))) |
(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)))))) |
(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))))) |
| Outputs |
|---|
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #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 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) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #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 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (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)))) (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) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t l) #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l t) #s(literal -2 binary64)) #s(literal 2 binary64))))) |
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(/.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 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) (-.f64 (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))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (*.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 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) #s(literal 3 binary64))))) (*.f64 (/.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 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) (-.f64 (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))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.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))))))) (-.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))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.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))))))) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.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))))))) (-.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))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.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))))))) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (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)))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (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)))))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))))) |
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) (neg.f64 (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)))))))) |
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (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)))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (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)))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (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)))))))) |
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (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)))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (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)))))))) |
(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 #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 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 (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)))))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 (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)))))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (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)))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (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)))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (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)))))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (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)))))))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
Compiled 41 911 to 4 315 computations (89.7% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 894 | 11 | 905 |
| Fresh | 5 | 7 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 903 | 20 | 923 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.4% | (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 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
| 52.0% | (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 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) | |
| 52.0% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64))))))) | |
| 51.0% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 53.4% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))))))) | |
| 50.8% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) | |
| 53.2% | (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) #s(literal -1 binary64))) | |
| 72.9% | (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))) | |
| ▶ | 85.6% | (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))))) |
| 79.5% | (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om (*.f64 Omc Omc)) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) | |
| 75.8% | (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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))))) | |
| ✓ | 53.2% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
| ✓ | 50.8% | (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))))) |
| ▶ | 71.6% | (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)))))) |
| 21.1% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) | |
| 46.2% | (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)))))) | |
| 48.3% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) | |
| ▶ | 48.3% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
| ▶ | 48.5% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
| 48.4% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
Compiled 1 432 to 1 044 computations (27.1% 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 #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)))))))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) | |
| cost-diff | 0 | (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) | |
| cost-diff | 0 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) | |
| 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)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (/.f64 (/.f64 Om Omc) Omc) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 745 |
| 0 | 121 | 695 |
| 1 | 210 | 666 |
| 2 | 406 | 662 |
| 3 | 822 | 654 |
| 4 | 1840 | 654 |
| 5 | 3972 | 654 |
| 6 | 6313 | 654 |
| 0 | 8035 | 633 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) |
(/.f64 (/.f64 Om Omc) Omc) |
(/.f64 Om Omc) |
Om |
Omc |
(neg.f64 Om) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)) |
(/.f64 t l) |
t |
l |
(*.f64 (/.f64 #s(literal 2 binary64) l) t) |
(/.f64 #s(literal 2 binary64) l) |
#s(literal 2 binary64) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(/.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 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 l t) |
l |
t |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/.f64 Om Omc) |
Om |
Omc |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) |
#s(literal 1 binary64) |
(/.f64 t (*.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 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(/.f64 Om Omc) |
Om |
Omc |
(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 #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)))))))) |
(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 #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))))))) |
(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)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (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 |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #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 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #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 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #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 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
(/.f64 (/.f64 Om Omc) Omc) |
(/.f64 Om Omc) |
Om |
Omc |
(neg.f64 Om) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(/.f64 t l) |
t |
l |
(*.f64 (/.f64 #s(literal 2 binary64) l) t) |
(/.f64 #s(literal 2 binary64) l) |
#s(literal 2 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)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.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)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 #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 (/.f64 (/.f64 t l) l) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 l l)) |
(/.f64 (/.f64 #s(literal 2 binary64) l) l) |
#s(literal 2 binary64) |
(*.f64 l l) |
l |
t |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (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 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) |
(/.f64 l t) |
l |
t |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (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 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (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) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) |
#s(literal 1 binary64) |
(/.f64 t (*.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 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
(*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) |
(pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
(/.f64 Om Omc) |
Om |
Omc |
(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 #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)))))))) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (PI.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)))))))) |
(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 #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))))))) |
(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)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (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 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.326969470145192 | (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))))) | |
| accuracy | 28.102221400003536 | (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)))))) | |
| accuracy | 29.10906618398861 | (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 #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)))))))) | |
| accuracy | 30.1074568912133 | #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)))) | |
| accuracy | 0.25 | (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) | |
| accuracy | 0.3278788691173848 | (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) | |
| accuracy | 0.39453125 | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) | |
| accuracy | 31.269586852926572 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) | |
| accuracy | 0.1643608308349676 | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) | |
| accuracy | 0.25 | (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)) | |
| accuracy | 0.3209762695368841 | (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) | |
| accuracy | 31.269586852926572 | #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) | |
| accuracy | 0.5869885980679557 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) | |
| accuracy | 1.4581080656143524 | (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)) | |
| accuracy | 8.326969470145192 | (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))))) | |
| accuracy | 8.579444214416366 | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) | |
| accuracy | 0.1643608308349676 | (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))))) | |
| accuracy | 0.19921875 | (*.f64 (/.f64 #s(literal 2 binary64) l) t) | |
| accuracy | 0.5908948480679557 | (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))) | |
| accuracy | 8.326969470145192 | (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))) |
| 158.0ms | 154× | 1 | valid |
| 131.0ms | 98× | 2 | valid |
| 2.0ms | 4× | 0 | valid |
Compiled 1 348 to 143 computations (89.4% saved)
ival-div: 46.0ms (20% of total)ival-mult: 45.0ms (19.5% of total)adjust: 28.0ms (12.2% of total)ival-asin: 23.0ms (10% of total)ival-sqrt: 21.0ms (9.1% of total)ival-pow2: 17.0ms (7.4% of total)ival-acos: 15.0ms (6.5% of total)ival-add: 15.0ms (6.5% of total)ival-cbrt: 9.0ms (3.9% of total)ival-sub: 5.0ms (2.2% of total)ival-neg: 5.0ms (2.2% of total)ival-pi: 2.0ms (0.9% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))) |
(/.f64 (/.f64 Om Omc) 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)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(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 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(*.f64 (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)))) |
(*.f64 (/.f64 #s(literal 2 binary64) l) t) |
(*.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 (/.f64 Om Omc) (/.f64 Om Omc)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
#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)))) |
(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)))))) |
(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))))) |
| Outputs |
|---|
(asin (sqrt (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4)))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 6)))) (+ (* 8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (/ 1 (pow l 6)))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) |
(+ 1 (+ (* -2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1 (/ (pow Om 2) (pow Omc 2))))) |
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* 4 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (* 2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))))) |
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))) (* 2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))))) |
(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 (/ (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)))))))) |
(* 2 (/ t l)) |
(* 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))))))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))) t) |
(* 1/2 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 6))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))))) (pow t 2)) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (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)) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))) t)) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 6))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 8))) (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))))) |
(* l (+ (* -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))))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (sqrt 1/2)) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (pow l 6)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(- (+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* 4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2)))) |
(- (+ 1 (+ (* -8 (/ (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))))) |
(+ (sqrt (- 1 (/ (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))))) |
(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)))))) |
(/ Om (pow Omc 2)) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t)) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t)) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t)) |
(/ (pow Om 2) (pow Omc 2)) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)) |
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(+ (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)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | t | @ | inf | ((asin (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ (* (/ t l) (* (/ 2 l) t)) 1)))) (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ (* (/ t l) (* (/ 2 l) t)) 1))) (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ (* (/ t l) (* (/ 2 l) t)) 1)) (/ (/ Om Omc) Omc) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (* (* (/ l t) (sqrt 1/2)) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (* (/ l t) (sqrt 1/2)) (/ 1 (/ t (* (sqrt 1/2) l))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (* (/ 1 (/ t (* (sqrt 1/2) l))) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (+ (* (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (* (sqrt (PI)) (sqrt (PI))) (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (cbrt (* (sqrt (PI)) (sqrt (PI)))) (* (/ 2 l) t) (* (/ 2 (* l l)) t) (+ (* (* (/ 2 (* l l)) t) t) 1) (* (/ Om Omc) (/ Om Omc)) (* (sqrt 1/2) l) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) |
| 6.0ms | Omc | @ | 0 | ((asin (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ (* (/ t l) (* (/ 2 l) t)) 1)))) (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ (* (/ t l) (* (/ 2 l) t)) 1))) (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ (* (/ t l) (* (/ 2 l) t)) 1)) (/ (/ Om Omc) Omc) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (* (* (/ l t) (sqrt 1/2)) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (* (/ l t) (sqrt 1/2)) (/ 1 (/ t (* (sqrt 1/2) l))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (* (/ 1 (/ t (* (sqrt 1/2) l))) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (+ (* (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (* (sqrt (PI)) (sqrt (PI))) (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (cbrt (* (sqrt (PI)) (sqrt (PI)))) (* (/ 2 l) t) (* (/ 2 (* l l)) t) (+ (* (* (/ 2 (* l l)) t) t) 1) (* (/ Om Omc) (/ Om Omc)) (* (sqrt 1/2) l) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) |
| 4.0ms | t | @ | -inf | ((asin (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ (* (/ t l) (* (/ 2 l) t)) 1)))) (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ (* (/ t l) (* (/ 2 l) t)) 1))) (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ (* (/ t l) (* (/ 2 l) t)) 1)) (/ (/ Om Omc) Omc) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (* (* (/ l t) (sqrt 1/2)) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (* (/ l t) (sqrt 1/2)) (/ 1 (/ t (* (sqrt 1/2) l))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (* (/ 1 (/ t (* (sqrt 1/2) l))) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (+ (* (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (* (sqrt (PI)) (sqrt (PI))) (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (cbrt (* (sqrt (PI)) (sqrt (PI)))) (* (/ 2 l) t) (* (/ 2 (* l l)) t) (+ (* (* (/ 2 (* l l)) t) t) 1) (* (/ Om Omc) (/ Om Omc)) (* (sqrt 1/2) l) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) |
| 4.0ms | t | @ | 0 | ((asin (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ (* (/ t l) (* (/ 2 l) t)) 1)))) (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ (* (/ t l) (* (/ 2 l) t)) 1))) (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ (* (/ t l) (* (/ 2 l) t)) 1)) (/ (/ Om Omc) Omc) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (* (* (/ l t) (sqrt 1/2)) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (* (/ l t) (sqrt 1/2)) (/ 1 (/ t (* (sqrt 1/2) l))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (* (/ 1 (/ t (* (sqrt 1/2) l))) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (+ (* (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (* (sqrt (PI)) (sqrt (PI))) (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (cbrt (* (sqrt (PI)) (sqrt (PI)))) (* (/ 2 l) t) (* (/ 2 (* l l)) t) (+ (* (* (/ 2 (* l l)) t) t) 1) (* (/ Om Omc) (/ Om Omc)) (* (sqrt 1/2) l) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) |
| 4.0ms | l | @ | 0 | ((asin (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ (* (/ t l) (* (/ 2 l) t)) 1)))) (sqrt (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ (* (/ t l) (* (/ 2 l) t)) 1))) (/ (+ (* (/ (/ Om Omc) Omc) (neg Om)) 1) (+ (* (/ t l) (* (/ 2 l) t)) 1)) (/ (/ Om Omc) Omc) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (* (* (/ l t) (sqrt 1/2)) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (* (/ l t) (sqrt 1/2)) (/ 1 (/ t (* (sqrt 1/2) l))) (asin (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t)))))))) (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (* (/ 1 (/ t (* (sqrt 1/2) l))) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) (+ (* (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (* (cbrt (PI)) 1/2)) (neg (acos (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))))) (* (sqrt (PI)) (sqrt (PI))) (pow (cbrt (* (sqrt (PI)) (sqrt (PI)))) 2) (cbrt (* (sqrt (PI)) (sqrt (PI)))) (* (/ 2 l) t) (* (/ 2 (* l l)) t) (+ (* (* (/ 2 (* l l)) t) t) 1) (* (/ Om Omc) (/ Om Omc)) (* (sqrt 1/2) l) (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (acos (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× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 772 | 6752 |
| 1 | 2767 | 6025 |
| 0 | 8543 | 5782 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(asin (sqrt (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4)))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 6)))) (+ (* 8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (/ 1 (pow l 6)))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) |
(+ 1 (+ (* -2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1 (/ (pow Om 2) (pow Omc 2))))) |
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* 4 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (* 2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))))) |
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))) (* 2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))))) |
(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 (/ (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)))))))) |
(* 2 (/ t l)) |
(* 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))))))) |
(* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))) t) |
(* 1/2 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))) |
(/ (+ (* -1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (pow t 2)) |
(/ (- (+ (* 1/8 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2)))) (pow t 2)) |
(/ (- (+ (* -1/16 (/ (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 6))) (* 1/2 (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/4 (/ (* (pow l 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 2))))) (pow t 2)) |
(/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (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)) |
(* 2 (/ (pow t 2) (pow l 2))) |
(* (pow t 2) (+ (* 2 (/ 1 (pow l 2))) (/ 1 (pow t 2)))) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))) t)) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(* -1 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) t)) |
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (* (pow l 8) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/8 (/ (* (pow l 2) (+ (* -1/8 (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* 1/64 (/ (* (pow l 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 6) (sqrt 1/2)))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (* l (sqrt 1/2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))) t)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) |
(* (pow l 2) (+ (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 6))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))))) |
(* (pow l 2) (+ (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 8))) (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))))) |
(* l (+ (* -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))))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) (pow l 2)) |
(* l (sqrt 1/2)) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (pow l 4)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (pow l 6)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(- (+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* 4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2)))) |
(- (+ 1 (+ (* -8 (/ (* (pow t 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* -1 (/ (pow Om 2) (pow Omc 2))))) (+ (* -4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))))) |
(+ (sqrt (- 1 (/ (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))))) |
(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)))))) |
(/ Om (pow Omc 2)) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t)) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* -1/8 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 4) t))))) (/ (* l (sqrt 1/2)) t)) |
(+ (* (pow Om 2) (+ (* -1/2 (/ (* l (sqrt 1/2)) (* (pow Omc 2) t))) (* (pow Om 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Omc 4) t))) (* -1/16 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 6) t))))))) (/ (* l (sqrt 1/2)) t)) |
(/ (pow Om 2) (pow Omc 2)) |
(* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (/ (pow Om 2) (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(* (pow Om 2) (- (/ 1 (* (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ 1 (* (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)) |
(* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(* -1 (* (/ (* Om (sqrt -1)) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) |
(* -1 (* Om (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(* -1 (* Om (+ (* -1/8 (* (/ (pow Omc 3) (* (pow Om 4) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/16 (* (/ (pow Omc 5) (* (pow Om 6) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* 1/2 (* (/ Omc (* (pow Om 2) (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (/ (sqrt -1) Omc) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))))) |
(* -1 (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t))) |
(* -1 (* Om (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(* -1 (* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ (pow Omc 2) (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) Omc) |
(/ (+ (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) (* (pow Omc 2) (+ (* 1/2 (* (/ 1 (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Omc 2) (+ (* -1/8 (* (/ 1 (* (pow Om 3) (pow (sqrt -1) 3))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* 1/16 (* (/ (pow Omc 2) (* (pow Om 5) (pow (sqrt -1) 5))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) Omc) |
(/ (+ (* -1 (/ (pow Om 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (/ (pow Omc 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (pow Omc 2)) |
(/ (+ (* 1/2 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* Om (* t (sqrt -1))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* -1/8 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(/ (+ (* (pow Omc 2) (+ (* 1/2 (/ (* l (sqrt 1/2)) (* Om (* t (sqrt -1))))) (* (pow Omc 2) (+ (* -1/8 (/ (* l (sqrt 1/2)) (* (pow Om 3) (* t (pow (sqrt -1) 3))))) (* 1/16 (/ (* (pow Omc 2) (* l (sqrt 1/2))) (* (pow Om 5) (* t (pow (sqrt -1) 5))))))))) (/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) t)) Omc) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (+ (* -1/2 (* (/ (pow Om 2) (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (+ (* -1/8 (* (/ (pow Om 4) (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 6) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t)))) |
| Outputs |
|---|
(asin (sqrt (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
(sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) |
(*.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 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.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 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64)))) (*.f64 t t))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 4)))) (/ 1 (pow l 4)))))) (* -1/2 (* (* (pow t 2) (+ (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (+ (* -1 (/ (pow Om 2) (* (pow Omc 2) (pow l 6)))) (+ (* 8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (/ 1 (pow l 6)))))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 t t) #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 (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 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 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 -4 binary64) (fma.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))))) (*.f64 t t)))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ 1 (* -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 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2))) (* -1 (/ (pow Om 2) (pow Omc 2))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) l) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* 4 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))) (* 2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 6))) (* -4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))))) (* 2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 t t)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64))) (*.f64 t t) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(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 (*.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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 2) (+ (* -1 (* (/ 1 (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (+ (* -1 (/ (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4)))) (pow l 2))) (* 8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 6))))) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* 1/2 (* (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))) (- (/ (pow Om 2) (* (pow Omc 2) (pow l 4))) (+ (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))) (/ 1 (pow l 4))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (*.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 Om (pow.f64 l #s(literal 4 binary64))) (/.f64 Om (*.f64 Omc Omc))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 4 binary64))))) (neg.f64 (*.f64 l l)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) (*.f64 t t) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (neg.f64 (*.f64 l l)))) (*.f64 t t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(- 1 (/ (pow Om 2) (pow Omc 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) |
(- (+ 1 (* -2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2)))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) l) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(- (+ 1 (* (pow t 2) (- (* 4 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
(- (+ 1 (* (pow t 2) (- (* (pow t 2) (- (* -8 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6))) (* -4 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 4))))) (* 2 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow l 2)))))) (/ (pow Om 2) (pow Omc 2))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 t t)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64))) (*.f64 t t) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (*.f64 l l)) #s(literal -2 binary64))) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (/ (pow t 2) (pow l 2)))) |
(fma.f64 (/.f64 #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 #s(literal 4 binary64) (pow.f64 l #s(literal 4 binary64))) t) t (/.f64 #s(literal -2 binary64) (*.f64 l l))) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ (* -8 (/ (pow t 2) (pow l 6))) (* 4 (/ 1 (pow l 4))))) (* 2 (/ 1 (pow l 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 l #s(literal 6 binary64))) #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 l #s(literal 4 binary64)))) (*.f64 t t) (/.f64 #s(literal -2 binary64) (*.f64 l l))) (*.f64 t t) #s(literal 1 binary64)) |
(* (/ (* 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))))) |
(/ (* 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 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(* 2 (/ t l)) |
(*.f64 (/.f64 t l) #s(literal 2 binary64)) |
(* 2 (/ t (pow l 2))) |
(*.f64 (/.f64 (/.f64 t l) l) #s(literal 2 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)) |
(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 (/.f64 #s(literal 2 binary64) (*.f64 l l)) 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))))) |
(/ (+ (* -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) |
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* 1/64 (/ (* (pow l 6) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow (sqrt 1/2) 2)))) (* l (* (pow t 4) (sqrt 1/2)))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (* l (sqrt 1/2)) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) t) |
(/.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) |
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(/.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))))) (neg.f64 t)) |
(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) |
(*.f64 (neg.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 (/ (+ (* -1/8 (* (/ (pow l 3) (* (pow t 2) (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)))) (neg.f64 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)) |
(/.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))))) (neg.f64 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)) |
(/.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))))) (neg.f64 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 (*.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 (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) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (fma.f64 #s(literal 1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/8 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))))) (* (pow l 2) (+ (* -1/2 (* (/ (* t (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))) (* -1/2 (* (/ (* (pow l 2) (* t (+ (* 1/16 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 8))) (* 1/8 (/ (+ (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))) (* 1/64 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) (fma.f64 t (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 l l) (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/8 binary64))) (*.f64 t t)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 8 binary64))) #s(literal 1/16 binary64))) t) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) l))) |
(* (pow l 2) (+ (* -1/4 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 4))) (* 1/2 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om 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 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* 1/8 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 6))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))))) |
(*.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 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 2))) (* (pow l 2) (- (* (pow l 2) (- (* -1/16 (/ (* (pow l 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow t 8))) (* -1/8 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 6))))) (* 1/4 (/ (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2)))) (pow t 4))))))) |
(*.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 (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 l l)) |
(* l (+ (* -1/8 (* (/ (pow l 2) (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.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) |
(* l (+ (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* t (+ (* -1/8 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (pow t 6))) (* 1/64 (/ (- 1 (/ (pow Om 2) (pow Omc 2))) (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/8 (* (/ 1 (* (pow t 3) (sqrt 1/2))) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) t) (fma.f64 #s(literal 1/32 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))) (pow.f64 t #s(literal 6 binary64))) #s(literal -1/8 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) (pow.f64 l #s(literal 3 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))) (*.f64 (/.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) (+ (* -1/8 (* (/ 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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(- (+ 1 (+ (* -1 (/ (pow Om 2) (pow Omc 2))) (* 4 (/ (* (pow t 4) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4))))) (* 2 (/ (* (pow t 2) (+ 1 (* -1 (/ (pow Om 2) (pow Omc 2))))) (pow l 2)))) |
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(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))))) |
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(+ (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))) (+ (* -1 (* (/ (pow t 2) (pow l 2)) (sqrt (- 1 (/ (pow Om 2) (pow Omc 2)))))) (+ (* -1/2 (* (/ (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (pow l 4)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2))))))) (* -1/2 (* (/ (+ (* 8 (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 2) (+ (* -4 (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))) (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2))))))) (pow l 6)) (sqrt (/ 1 (- 1 (/ (pow Om 2) (pow Omc 2)))))))))) |
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(- (+ 1 (* 4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4)))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2)))) |
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(- (+ 1 (* -8 (/ (* (pow t 6) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 6)))) (+ (* -4 (/ (* (pow t 4) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 4))) (+ (* 2 (/ (* (pow t 2) (- 1 (/ (pow Om 2) (pow Omc 2)))) (pow l 2))) (/ (pow Om 2) (pow Omc 2))))) |
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(sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) |
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(+ (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))) (* (pow Om 2) (+ (* -1/2 (* (/ 1 (pow Omc 2)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (pow Om 2) (+ (* -1/8 (* (/ 1 (pow Omc 4)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* -1/16 (* (/ (pow Om 2) (pow Omc 6)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2))))))))))))) |
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(/ 1 (+ 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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(/ Om (pow Omc 2)) |
(/.f64 Om (*.f64 Omc Omc)) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (/ (* l (sqrt 1/2)) t)) |
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(+ (* (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)) |
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(+ (* (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)) |
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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)))) (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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #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 (/.f64 #s(literal 1 binary64) 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)) |
(/ (* Om (* l (* (sqrt -1) (sqrt 1/2)))) (* Omc t)) |
(/.f64 (*.f64 (*.f64 Om (*.f64 l (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 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (*.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 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t)))) Om) |
(* Om (+ (* -1/8 (/ (* (pow Omc 3) (* l (sqrt 1/2))) (* (pow Om 4) (* t (pow (sqrt -1) 3))))) (+ (* 1/16 (/ (* (pow Omc 5) (* l (sqrt 1/2))) (* (pow Om 6) (* t (pow (sqrt -1) 5))))) (+ (* 1/2 (/ (* Omc (* l (sqrt 1/2))) (* (pow Om 2) (* t (sqrt -1))))) (/ (* l (* (sqrt -1) (sqrt 1/2))) (* Omc t)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Omc #s(literal 3 binary64))) (*.f64 (/.f64 l (pow.f64 Om #s(literal 4 binary64))) (/.f64 (/.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 (/.f64 l (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t))))) 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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 Om #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #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) (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 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) 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)))))) |
(*.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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (*.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 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) 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))))))) |
(*.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 (/.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 (/.f64 l (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (pow.f64 Om #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 l (sqrt.f64 #s(literal -1 binary64))) t) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) Omc) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) Om) Om) t)))))) |
(/ (+ (* 1/2 (* (/ (pow Omc 2) (* Om (sqrt -1))) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) (* (* Om (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))))) Omc) |
(/.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 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 Om #s(literal 3 binary64)) #s(literal -1 binary64)) (sqrt.f64 #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)) |
(/ (+ (* 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 (*.f64 Omc Omc) Om)) (*.f64 (/.f64 l (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (/.f64 (*.f64 (*.f64 Om (*.f64 l (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 1/2 binary64) (/.f64 l Om)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 Omc Omc) #s(literal -1/8 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 (pow.f64 Om #s(literal 3 binary64)) t) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 Omc Omc) (/.f64 (*.f64 (*.f64 Om (*.f64 l (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 -1/8 binary64) (/.f64 l (pow.f64 Om #s(literal 3 binary64)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) Omc) Omc) #s(literal 1/16 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 1/2 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 (*.f64 l (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) t)) 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 (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (/ (* l (sqrt 1/2)) t))) |
(fma.f64 (*.f64 (*.f64 Om Om) #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 l Omc) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (*.f64 (/.f64 l (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t))) |
(+ (* -1/2 (/ (* (pow Om 2) (* l (sqrt 1/2))) (* (pow Omc 2) t))) (+ (* -1/8 (/ (* (pow Om 4) (* l (sqrt 1/2))) (* (pow Omc 4) t))) (+ (* -1/16 (/ (* (pow Om 6) (* l (sqrt 1/2))) (* (pow Omc 6) t))) (/ (* l (sqrt 1/2)) t)))) |
(fma.f64 (*.f64 (*.f64 Om Om) #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 l Omc) Omc) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 Om #s(literal 4 binary64))) (*.f64 (/.f64 l (pow.f64 Omc #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 564 |
| 0 | 121 | 512 |
| 1 | 429 | 476 |
| 2 | 3233 | 476 |
| 0 | 9496 | 456 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))) |
(/.f64 (/.f64 Om Omc) 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)))))) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))))) |
#s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
#s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))) |
(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 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(*.f64 (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)))) |
(*.f64 (/.f64 #s(literal 2 binary64) l) t) |
(*.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 (/.f64 Om Omc) (/.f64 Om Omc)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) |
#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)))) |
(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)))))) |
(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))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.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))) (-.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 (pow.f64 (/.f64 t l) #s(literal 6 binary64)) #s(literal 8 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 (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 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 (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 (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 (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 (*.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 (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 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 (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 (sqrt.f64 (neg.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 (neg.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 (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 #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))))) |
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(/.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 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) (-.f64 (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))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (*.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 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) #s(literal 3 binary64))))) (*.f64 (/.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 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) (-.f64 (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))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.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))))))) (-.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))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.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))))))) #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.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))))))) (-.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))))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.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))))))) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (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)))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (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)))))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (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)))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))))) |
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) (neg.f64 (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)))))))) |
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (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)))))))) |
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (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)))))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 (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)))))))) |
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 (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)))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (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)))))))) |
(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 #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 2 binary64)) (neg.f64 (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)))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (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)))))))) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (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)))))))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (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)))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (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)))))))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (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)))))))) |
(acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
Compiled 41 257 to 3 876 computations (90.6% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 797 | 15 | 812 |
| Fresh | 5 | 8 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 1 | 2 |
| Total | 807 | 25 | 832 |
| Status | Accuracy | Program |
|---|---|---|
| 51.7% | (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 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))))) | |
| 52.0% | (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 (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (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)))))))))) | |
| 52.4% | (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 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (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)))))))))) | |
| 50.2% | (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 (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (acos.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)))))))) | |
| 52.0% | (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64))))))) | |
| 51.0% | (fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) | |
| 50.8% | (fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) | |
| 79.5% | (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om (*.f64 Omc Omc)) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) | |
| 75.8% | (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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))))) | |
| ✓ | 50.8% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64))))) |
| 72.3% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (*.f64 l l)) t #s(literal 1 binary64)))))) | |
| 84.7% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) | |
| 82.8% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) t #s(literal 1 binary64)))))) | |
| 24.1% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t)))))) | |
| 49.9% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)))))) | |
| 25.6% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) | |
| 52.6% | (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #s(literal 1 binary64))))) | |
| 46.2% | (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)))))) | |
| 48.5% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) t) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) l)))) | |
| 48.3% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) | |
| 42.9% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) | |
| 48.3% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) | |
| 43.0% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) | |
| ✓ | 48.5% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
| 48.4% | (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
Compiled 2 983 to 1 098 computations (63.2% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 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) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(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) t) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (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 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.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 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) |
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om (*.f64 Omc Omc)) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 l))) (sqrt.f64 (-.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))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 Om (/.f64 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))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 t (/.f64 t (*.f64 l l)))))))) |
(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))) (fma.f64 (*.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.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 #s(literal 1 binary64) (/.f64 l (*.f64 (/.f64 t 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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.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 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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 (/ -1 (* (/ l t) (/ (neg l) t))))))) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))) t) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) l)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #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 (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))))) (acos.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)))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.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 #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 (*.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 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (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)))))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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 (*.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 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.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 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (acos.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)))))))) #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))))))) |
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)) #s(literal -1 binary64)))))))) |
(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 #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 (*.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 #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)))))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
14 calls:
| 21.0ms | Om |
| 19.0ms | t |
| 17.0ms | (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))))))) |
| 16.0ms | (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)))))) |
| 16.0ms | (/.f64 Om Omc) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 2 | t |
| 87.9% | 2 | l |
| 85.6% | 1 | Om |
| 85.6% | 1 | Omc |
| 99.6% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 99.6% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 99.6% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 85.6% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 85.6% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 85.6% | 1 | (/.f64 Om Omc) |
| 99.6% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 99.6% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 99.6% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 99.6% | 2 | (/.f64 t l) |
Compiled 97 to 112 computations (-15.5% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 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) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(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) t) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (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 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.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 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) |
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om (*.f64 Omc Omc)) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 l))) (sqrt.f64 (-.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))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 #s(approx (acos (sqrt (/ (- (pow (/ Om Omc) 2) 1) (+ (* -2 (pow (/ t l) 2)) -1)))) (acos.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om Omc) (/.f64 Om Omc) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal -1 binary64)))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) #s(approx (+ 1 (* 2 (pow (/ t l) 2))) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 Om (/.f64 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))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 t (/.f64 t (*.f64 l l)))))))) |
(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))) (fma.f64 (*.f64 (*.f64 (/.f64 t l) #s(literal 2 binary64)) (neg.f64 t)) (/.f64 #s(literal -1 binary64) l) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.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 #s(literal 1 binary64) (/.f64 l (*.f64 (/.f64 t l) t)))))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
7 calls:
| 13.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 13.0ms | (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))))))) |
| 12.0ms | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 9.0ms | (/.f64 t l) |
| 9.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 99.5% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 99.5% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 99.5% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 99.5% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 99.5% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 99.5% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 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) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(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) t) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (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 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.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 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 t l)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) t #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) |
(asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 Om (*.f64 Omc Omc)) (neg.f64 Om) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (/.f64 l t) l))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
7 calls:
| 9.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 9.0ms | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 6.0ms | (/.f64 t l) |
| 6.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 6.0ms | (*.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)) (+ 1 (* 2 (pow (/ t l) 2)))) #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 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) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(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) t) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
7 calls:
| 5.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 5.0ms | (/.f64 t l) |
| 4.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 4.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 4.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 99.1% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 99.1% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 99.1% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 99.1% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 99.1% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 99.1% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 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) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(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) t) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc))))))) |
7 calls:
| 9.0ms | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 5.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 4.0ms | (/.f64 t l) |
| 4.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 4.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 99.1% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 99.1% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 99.1% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 99.1% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 99.1% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 99.1% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 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) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(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) t) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (neg.f64 Om) (/.f64 Om (*.f64 Omc Omc)) #s(literal 1 binary64)) (*.f64 t t)))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.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)))))) |
7 calls:
| 5.0ms | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 4.0ms | (/.f64 t l) |
| 4.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 4.0ms | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 4.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 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))))))) |
| 97.9% | 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)))))) |
| 97.9% | 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))))) |
| 97.9% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 97.9% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 97.9% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 97.9% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 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) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(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) t) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) |
(asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc))))))) |
7 calls:
| 4.0ms | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 4.0ms | (/.f64 t l) |
| 4.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 4.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om 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 |
|---|---|---|
| 96.0% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 96.0% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 96.0% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 96.0% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 96.0% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 96.0% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 96.0% | 2 | (/.f64 t l) |
Compiled 78 to 75 computations (3.8% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 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) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(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) t) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) |
14 calls:
| 5.0ms | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 5.0ms | Om |
| 4.0ms | Omc |
| 4.0ms | t |
| 4.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 84.7% | 1 | Omc |
| 84.7% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 84.7% | 1 | (/.f64 Om Omc) |
| 84.7% | 1 | Om |
| 84.7% | 1 | l |
| 84.7% | 1 | t |
| 84.7% | 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))))))) |
| 84.7% | 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)))))) |
| 84.7% | 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))))) |
| 84.7% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 84.7% | 1 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 84.7% | 1 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 84.7% | 1 | (/.f64 t l) |
Compiled 97 to 112 computations (-15.5% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 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) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(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) t) (*.f64 l l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) t #s(literal 1 binary64)))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) t #s(literal 1 binary64)))))) |
14 calls:
| 4.0ms | Omc |
| 3.0ms | Om |
| 3.0ms | l |
| 3.0ms | t |
| 3.0ms | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.8% | 1 | l |
| 82.8% | 1 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 82.8% | 1 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 82.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 82.8% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 82.8% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 82.8% | 1 | (/.f64 Om Omc) |
| 82.8% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 82.8% | 1 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 82.8% | 1 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 82.8% | 1 | (/.f64 t l) |
| 82.8% | 1 | t |
| 82.8% | 1 | Omc |
| 82.8% | 1 | Om |
Compiled 97 to 112 computations (-15.5% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 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) #s(approx (+ (* (* (/ 2 (* l l)) t) t) 1) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) t) t #s(literal 1 binary64)))))) |
(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) t) (*.f64 l l)) t #s(literal 1 binary64)))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) |
14 calls:
| 4.0ms | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 3.0ms | Om |
| 3.0ms | t |
| 3.0ms | Omc |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.2% | 2 | t |
| 76.1% | 2 | l |
| 72.3% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 76.5% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 76.5% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 76.5% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 76.5% | 2 | (/.f64 t l) |
| 72.3% | 1 | Om |
| 76.5% | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 76.5% | 2 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))) |
| 76.5% | 2 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 72.3% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 72.3% | 1 | (/.f64 Om Omc) |
| 72.3% | 1 | Omc |
Compiled 97 to 112 computations (-15.5% saved)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #s(literal 1 binary64))))) |
8 calls:
| 2.0ms | l |
| 2.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 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 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| 2.0ms | (/.f64 t l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.2% | 2 | l |
| 75.9% | 2 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 75.9% | 2 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 75.9% | 2 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 75.9% | 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))))))) |
| 75.9% | 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)))))) |
| 75.9% | 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))))) |
| 75.9% | 2 | (/.f64 t l) |
Compiled 79 to 79 computations (0% saved)
Total -1.5b remaining (-5%)
Threshold costs -1.5b (-5%)
| Inputs |
|---|
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #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)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #s(literal 1 binary64))))) |
14 calls:
| 1.0ms | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) |
| 1.0ms | Omc |
| 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 | Om |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 1 | l |
| 52.6% | 1 | Omc |
| 52.6% | 1 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) |
| 52.6% | 1 | (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64)) |
| 52.6% | 1 | (/.f64 Om Omc) |
| 52.6% | 1 | Om |
| 52.6% | 1 | t |
| 52.6% | 1 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))) |
| 52.6% | 1 | (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))) |
| 52.6% | 1 | (pow.f64 (/.f64 t l) #s(literal 2 binary64)) |
| 52.6% | 1 | (/.f64 t l) |
| 52.6% | 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))))))) |
| 52.6% | 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)))))) |
| 52.6% | 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 |
|---|---|---|
| 2.0ms | 1.3229957477373922e+153 | 2.1053948214570344e+155 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3229957477373922e+153 | 2.1053948214570344e+155 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0032742903549672093 | 637848.2062212683 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0032742903549672093 | 637848.2062212683 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0032742903549672093 | 637848.2062212683 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3229957477373922e+153 | 2.1053948214570344e+155 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.437015828952702e+148 | 5.494909506032404e+149 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.325184288573159e-35 | 8.204165616042996e-30 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.325184288573159e-35 | 8.204165616042996e-30 |
Compiled 22 to 23 computations (-4.5% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 817 |
| 1 | 191 | 817 |
| 2 | 319 | 803 |
| 3 | 652 | 791 |
| 4 | 1570 | 778 |
| 5 | 3635 | 778 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 t l) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 5764607523034235/1152921504606846976 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 5764607523034235/1152921504606846976 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 5764607523034235/1152921504606846976 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.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))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 50000000000000002448836328757526028978611350176537194437252118729508413179669237808061576462363823189655653234075513838102671645933129260855113809920 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) t #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) #s(literal 4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) #s(literal 4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #s(literal 1 binary64))))) |
| Outputs |
|---|
(if (<=.f64 (/.f64 t l) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 (neg.f64 l) t)))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 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 #s(literal -1 binary64) (*.f64 (/.f64 l t) (/.f64 l t)))))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (asin.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (/.f64 Om Omc) Omc) (neg.f64 Om) #s(literal 1 binary64)) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 5764607523034235/1152921504606846976 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) l) t) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 5764607523034235/1152921504606846976 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om 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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 5764607523034235/1152921504606846976 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 5764607523034235/1152921504606846976 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om 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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 5764607523034235/1152921504606846976 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 l (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 5764607523034235/1152921504606846976 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #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 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 Om Omc) (/.f64 Om Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.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))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (/.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))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 50000000000000002448836328757526028978611350176537194437252118729508413179669237808061576462363823189655653234075513838102671645933129260855113809920 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (/ -1 (* (/ l t) (/ (neg l) t))))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))) |
(if (<=.f64 (/.f64 t l) #s(literal 50000000000000002448836328757526028978611350176537194437252118729508413179669237808061576462363823189655653234075513838102671645933129260855113809920 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)) #s(literal -1 binary64))))) (asin.f64 #s(approx (sqrt (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2))))) (*.f64 (*.f64 (/.f64 l t) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 Om Om) (*.f64 Omc Omc)))))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (/.f64 t l) (*.f64 (/.f64 #s(literal 2 binary64) l) t) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) t #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) t #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) #s(literal 4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) (fma.f64 (neg.f64 Om) (/.f64 (/.f64 Om Omc) Omc) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))) #s(literal 4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) l) l))))) (asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #s(literal 1 binary64)))))) |
(asin.f64 (sqrt.f64 #s(approx (/ (- 1 (pow (/ Om Omc) 2)) (+ 1 (* 2 (pow (/ t l) 2)))) #s(approx (/ 1 (+ (* (* (/ 2 (* l l)) t) t) 1)) #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 495 |
| 0 | 113 | 489 |
| 1 | 424 | 441 |
| 2 | 3229 | 438 |
| 0 | 9208 | 420 |
| 0 | 73 | 564 |
| 0 | 121 | 512 |
| 1 | 429 | 476 |
| 2 | 3233 | 476 |
| 0 | 9496 | 456 |
| 0 | 772 | 6752 |
| 1 | 2767 | 6025 |
| 0 | 8543 | 5782 |
| 0 | 60 | 413 |
| 0 | 104 | 408 |
| 1 | 376 | 364 |
| 2 | 2988 | 364 |
| 0 | 8182 | 349 |
| 0 | 16 | 73 |
| 0 | 26 | 73 |
| 1 | 100 | 73 |
| 2 | 734 | 73 |
| 3 | 7742 | 73 |
| 0 | 9001 | 69 |
| 0 | 390 | 3487 |
| 1 | 1207 | 2957 |
| 2 | 4656 | 2748 |
| 0 | 8195 | 2632 |
| 0 | 667 | 6410 |
| 1 | 2101 | 5319 |
| 0 | 8163 | 5017 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 975 to 999 computations (49.4% saved)
(abs Om)
(abs Omc)
Compiled 3 986 to 1 832 computations (54% saved)
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