Time bar (total: 12.0s)
| 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 24 to 20 computations (16.7% saved)
| 1.5s | 8256× | body | 256 | valid |
| 1.3s | 7453× | body | 256 | invalid |
| 2× | egg-herbie |
| 1468× | rational.json-simplify-35 |
| 1156× | rational.json-simplify-51 |
| 1036× | rational.json-simplify-48 |
| 990× | rational.json-simplify-2 |
| 860× | rational.json-simplify-61 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 399 |
| 1 | 120 | 399 |
| 2 | 196 | 399 |
| 3 | 391 | 399 |
| 4 | 930 | 399 |
| 5 | 1599 | 399 |
| 6 | 2667 | 399 |
| 7 | 4312 | 399 |
| 8 | 6050 | 399 |
| 0 | 4 | 4 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
3 |
| Outputs |
|---|
0 |
1 |
2 |
3 |
| Inputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 l t) 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 t Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 Om l) 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om t) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 Omc l) 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 l Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t Om) 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om l) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t Omc) 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Omc Om) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 l t) 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 t Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 Om l) 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om t) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 Omc l) 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 l Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t Om) 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om l) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t Omc) 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (/.f64 Om l) 2) -1) (-.f64 -1 (*.f64 2 (pow.f64 (/.f64 t Omc) 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Omc Om) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
Compiled 27 to 23 computations (14.8% saved)
| 1× | egg-herbie |
| 2172× | rational.json-simplify-35 |
| 878× | rational.json-simplify-51 |
| 866× | rational.json-simplify-2 |
| 794× | rational.json-simplify-55 |
| 742× | rational.json-simplify-48 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 57 |
| 1 | 32 | 57 |
| 2 | 48 | 57 |
| 3 | 92 | 57 |
| 4 | 208 | 57 |
| 5 | 570 | 57 |
| 6 | 901 | 57 |
| 7 | 1722 | 57 |
| 8 | 3088 | 57 |
| 9 | 5098 | 57 |
| 10 | 7462 | 57 |
| 1× | node limit |
| Inputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| Outputs |
|---|
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
Compiled 23 to 19 computations (17.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 9.4b | (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
Compiled 23 to 19 computations (17.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (/.f64 Om Omc) 2) |
| ✓ | 0.2b | (pow.f64 (/.f64 t l) 2) |
| ✓ | 0.8b | (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| ✓ | 8.4b | (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
Compiled 103 to 62 computations (39.8% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | Om | @ | inf | (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 3.0ms | l | @ | 0 | (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 2.0ms | l | @ | inf | (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 2.0ms | t | @ | inf | (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 1.0ms | t | @ | 0 | (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 1× | batch-egg-rewrite |
| 1440× | rational.json-simplify-35 |
| 1174× | bool.json-1 |
| 1174× | bool.json-2 |
| 1148× | rational.json-1 |
| 1148× | rational.json-2 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 136 |
| 1 | 195 | 136 |
| 2 | 556 | 136 |
| 3 | 1318 | 136 |
| 4 | 3423 | 136 |
| 5 | 7989 | 136 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(pow.f64 (/.f64 t l) 2) |
(pow.f64 (/.f64 Om Omc) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 4)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 t l) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 t l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 t l) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 t l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (pow.f64 (/.f64 t l) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 t l) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 t l) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (/.f64 t l) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (/.f64 t l) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 t l) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 t l) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 t l) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 t l) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 t l) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (/.f64 t l) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (pow.f64 (/.f64 t l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (pow.f64 (/.f64 t l) 2) (pow.f64 (/.f64 t l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (/.f64 t l) 2) (pow.f64 (/.f64 t l) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 Om Omc) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 Om Omc) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 Om Omc) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 Om Omc) 2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 Om Omc) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (pow.f64 (/.f64 Om Omc) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 Om Omc) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (/.f64 Om Omc) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (/.f64 Om Omc) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 Om Omc) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (/.f64 Om Omc) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (/.f64 Om Omc) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (/.f64 Om Omc) 2) 4)) (*.f64 2 (*.f64 (pow.f64 (/.f64 Om Omc) 2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (pow.f64 (/.f64 Om Omc) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (pow.f64 (/.f64 Om Omc) 2) (pow.f64 (/.f64 Om Omc) 2))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (/.f64 Om Omc) 2) (pow.f64 (/.f64 Om Omc) 2)))))) |
| 1× | egg-herbie |
| 2130× | rational.json-simplify-2 |
| 1752× | rational.json-simplify-35 |
| 928× | rational.json-simplify-51 |
| 890× | rational.json-simplify-1 |
| 846× | rational.json-simplify-38 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 322 | 15917 |
| 1 | 756 | 15591 |
| 2 | 1585 | 14649 |
| 3 | 3292 | 14065 |
| 4 | 4644 | 14065 |
| 5 | 5655 | 14065 |
| 6 | 5848 | 14065 |
| 7 | 6050 | 14065 |
| 8 | 6369 | 14065 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))) |
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (+.f64 (*.f64 1/16 (*.f64 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))))) |
(*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) |
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))))) |
(+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))))) |
(+.f64 (*.f64 -1/16 (*.f64 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))))))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 Omc (*.f64 (sqrt.f64 -1) Om)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))))))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))) |
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))) |
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))) |
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(+.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) |
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(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(+.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 0) |
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(-.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 0) |
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 2)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 1) |
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 1/2) |
(*.f64 1/2 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 2) 2) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 1) |
(/.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 2) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 4))) 16) |
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 0) |
(+.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))) |
(-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 0) |
(*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))) |
(*.f64 2 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 2)) |
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 1) |
(*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))) 1/2) |
(*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))))) |
(*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 2) 2) |
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 1) |
(/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))) 2) |
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 4)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 4))) 16) |
(+.f64 (pow.f64 (/.f64 t l) 2) 0) |
(+.f64 0 (pow.f64 (/.f64 t l) 2)) |
(-.f64 (pow.f64 (/.f64 t l) 2) 0) |
(*.f64 1 (pow.f64 (/.f64 t l) 2)) |
(*.f64 2 (/.f64 (pow.f64 (/.f64 t l) 2) 2)) |
(*.f64 (pow.f64 (/.f64 t l) 2) 1) |
(*.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 1/2) |
(*.f64 (*.f64 (pow.f64 (/.f64 t l) 2) 4) 1/4) |
(*.f64 4 (/.f64 (pow.f64 (/.f64 t l) 2) 4)) |
(*.f64 1/2 (*.f64 2 (pow.f64 (/.f64 t l) 2))) |
(*.f64 1/4 (*.f64 (pow.f64 (/.f64 t l) 2) 4)) |
(*.f64 (/.f64 (pow.f64 (/.f64 t l) 2) 2) 2) |
(*.f64 (/.f64 (pow.f64 (/.f64 t l) 2) 4) 4) |
(/.f64 (pow.f64 (/.f64 t l) 2) 1) |
(/.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) |
(/.f64 (*.f64 (pow.f64 (/.f64 t l) 2) 4) 4) |
(/.f64 (*.f64 (pow.f64 (/.f64 t l) 2) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (/.f64 t l) 2) 8)) 16) |
(+.f64 (pow.f64 (/.f64 Om Omc) 2) 0) |
(+.f64 0 (pow.f64 (/.f64 Om Omc) 2)) |
(-.f64 1 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) |
(-.f64 (pow.f64 (/.f64 Om Omc) 2) 0) |
(-.f64 0 (-.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1)) |
(-.f64 (+.f64 (pow.f64 (/.f64 Om Omc) 2) -1) -1) |
(*.f64 1 (pow.f64 (/.f64 Om Omc) 2)) |
(*.f64 2 (/.f64 (pow.f64 (/.f64 Om Omc) 2) 2)) |
(*.f64 (pow.f64 (/.f64 Om Omc) 2) 1) |
(*.f64 (*.f64 2 (pow.f64 (/.f64 Om Omc) 2)) 1/2) |
(*.f64 1/2 (*.f64 2 (pow.f64 (/.f64 Om Omc) 2))) |
(*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) 2) 2) |
(/.f64 (pow.f64 (/.f64 Om Omc) 2) 1) |
(/.f64 (*.f64 2 (pow.f64 (/.f64 Om Omc) 2)) 2) |
(/.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (/.f64 Om Omc) 2) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (/.f64 Om Omc) 2) 4)) (*.f64 2 (*.f64 (pow.f64 (/.f64 Om Omc) 2) 4))) 16) |
| Outputs |
|---|
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)) -1/8)))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)))))) |
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4)) -1/8))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)) -1/16)))) |
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))))) |
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(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(+.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 0) |
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
(-.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 0) |
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 2)) |
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 1) |
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 1/2) |
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
(*.f64 1/2 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))) |
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 2) 2) |
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 1) |
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
(/.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 2) |
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 4) 4) |
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 4)) 8) |
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) 4))) 16) |
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
(+.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 0) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(+.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(-.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 0) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(*.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(*.f64 2 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 2)) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 1) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))) 1/2) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 2) 2) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 1) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))) 2) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 4) 4) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 4)) 8) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 4)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) 4))) 16) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(+.f64 (pow.f64 (/.f64 t l) 2) 0) |
(pow.f64 (/.f64 t l) 2) |
(+.f64 0 (pow.f64 (/.f64 t l) 2)) |
(pow.f64 (/.f64 t l) 2) |
(-.f64 (pow.f64 (/.f64 t l) 2) 0) |
(pow.f64 (/.f64 t l) 2) |
(*.f64 1 (pow.f64 (/.f64 t l) 2)) |
(pow.f64 (/.f64 t l) 2) |
(*.f64 2 (/.f64 (pow.f64 (/.f64 t l) 2) 2)) |
(pow.f64 (/.f64 t l) 2) |
(*.f64 (pow.f64 (/.f64 t l) 2) 1) |
(pow.f64 (/.f64 t l) 2) |
(*.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 1/2) |
(pow.f64 (/.f64 t l) 2) |
(*.f64 (*.f64 (pow.f64 (/.f64 t l) 2) 4) 1/4) |
(pow.f64 (/.f64 t l) 2) |
(*.f64 4 (/.f64 (pow.f64 (/.f64 t l) 2) 4)) |
(pow.f64 (/.f64 t l) 2) |
(*.f64 1/2 (*.f64 2 (pow.f64 (/.f64 t l) 2))) |
(pow.f64 (/.f64 t l) 2) |
(*.f64 1/4 (*.f64 (pow.f64 (/.f64 t l) 2) 4)) |
(pow.f64 (/.f64 t l) 2) |
(*.f64 (/.f64 (pow.f64 (/.f64 t l) 2) 2) 2) |
(pow.f64 (/.f64 t l) 2) |
(*.f64 (/.f64 (pow.f64 (/.f64 t l) 2) 4) 4) |
(pow.f64 (/.f64 t l) 2) |
(/.f64 (pow.f64 (/.f64 t l) 2) 1) |
(pow.f64 (/.f64 t l) 2) |
(/.f64 (*.f64 2 (pow.f64 (/.f64 t l) 2)) 2) |
(pow.f64 (/.f64 t l) 2) |
(/.f64 (*.f64 (pow.f64 (/.f64 t l) 2) 4) 4) |
(pow.f64 (/.f64 t l) 2) |
(/.f64 (*.f64 (pow.f64 (/.f64 t l) 2) 8) 8) |
(pow.f64 (/.f64 t l) 2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (/.f64 t l) 2) 8)) 16) |
(pow.f64 (/.f64 t l) 2) |
(+.f64 (pow.f64 (/.f64 Om Omc) 2) 0) |
(pow.f64 (/.f64 Om Omc) 2) |
(+.f64 0 (pow.f64 (/.f64 Om Omc) 2)) |
(pow.f64 (/.f64 Om Omc) 2) |
(-.f64 1 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2))) |
(pow.f64 (/.f64 Om Omc) 2) |
(-.f64 (pow.f64 (/.f64 Om Omc) 2) 0) |
(pow.f64 (/.f64 Om Omc) 2) |
(-.f64 0 (-.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) 1)) |
(pow.f64 (/.f64 Om Omc) 2) |
(-.f64 (+.f64 (pow.f64 (/.f64 Om Omc) 2) -1) -1) |
(pow.f64 (/.f64 Om Omc) 2) |
(*.f64 1 (pow.f64 (/.f64 Om Omc) 2)) |
(pow.f64 (/.f64 Om Omc) 2) |
(*.f64 2 (/.f64 (pow.f64 (/.f64 Om Omc) 2) 2)) |
(pow.f64 (/.f64 Om Omc) 2) |
(*.f64 (pow.f64 (/.f64 Om Omc) 2) 1) |
(pow.f64 (/.f64 Om Omc) 2) |
(*.f64 (*.f64 2 (pow.f64 (/.f64 Om Omc) 2)) 1/2) |
(pow.f64 (/.f64 Om Omc) 2) |
(*.f64 1/2 (*.f64 2 (pow.f64 (/.f64 Om Omc) 2))) |
(pow.f64 (/.f64 Om Omc) 2) |
(*.f64 (/.f64 (pow.f64 (/.f64 Om Omc) 2) 2) 2) |
(pow.f64 (/.f64 Om Omc) 2) |
(/.f64 (pow.f64 (/.f64 Om Omc) 2) 1) |
(pow.f64 (/.f64 Om Omc) 2) |
(/.f64 (*.f64 2 (pow.f64 (/.f64 Om Omc) 2)) 2) |
(pow.f64 (/.f64 Om Omc) 2) |
(/.f64 (*.f64 (pow.f64 (/.f64 Om Omc) 2) 4) 4) |
(pow.f64 (/.f64 Om Omc) 2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (/.f64 Om Omc) 2) 4)) 8) |
(pow.f64 (/.f64 Om Omc) 2) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (/.f64 Om Omc) 2) 4)) (*.f64 2 (*.f64 (pow.f64 (/.f64 Om Omc) 2) 4))) 16) |
(pow.f64 (/.f64 Om Omc) 2) |
Compiled 13256 to 10802 computations (18.5% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 9 | 209 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 200 | 10 | 210 |
| Status | Error | Program |
|---|---|---|
| 27.2b | (asin.f64 (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2)))) | |
| 45.4b | (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) | |
| 44.9b | (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (neg.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) | |
| ▶ | 45.4b | (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
| ▶ | 45.0b | (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 l (neg.f64 (/.f64 (sqrt.f64 1/2) t))))) |
| 45.4b | (asin.f64 (*.f64 l (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (/.f64 (sqrt.f64 1/2) t)))) | |
| ▶ | 45.0b | (asin.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) |
| ✓ | 9.4b | (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| ▶ | 21.3b | (asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
| ▶ | 37.8b | (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
Compiled 451 to 379 computations (16% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))) |
| ✓ | 0.4b | (asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
| ✓ | 8.4b | (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) |
| ✓ | 15.2b | (/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
Compiled 83 to 67 computations (19.3% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | l | @ | inf | (/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
| 2.0ms | t | @ | 0 | (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))) |
| 1.0ms | l | @ | 0 | (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) |
| 1.0ms | t | @ | inf | (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) |
| 1.0ms | t | @ | 0 | (/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
| 1× | batch-egg-rewrite |
| 2062× | bool.json-1 |
| 2062× | bool.json-2 |
| 1582× | bool.json-3 |
| 872× | rational.json-simplify-35 |
| 778× | rational.json-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 142 |
| 1 | 156 | 142 |
| 2 | 433 | 142 |
| 3 | 954 | 142 |
| 4 | 2339 | 142 |
| 5 | 6233 | 142 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 t 2) (pow.f64 l 2)) |
(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 t 2) (/.f64 1/2 (pow.f64 l 2))) (*.f64 (pow.f64 t 2) (/.f64 1/2 (pow.f64 l 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 t 2) (/.f64 1/2 (pow.f64 l 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t 2) (/.f64 1 (pow.f64 l 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t 2) (*.f64 2 (/.f64 1/2 (pow.f64 l 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t 2) (*.f64 (*.f64 2 (/.f64 1 (pow.f64 l 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t 2) (*.f64 (/.f64 2 (pow.f64 l 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (pow.f64 t 2) (neg.f64 (pow.f64 l 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (pow.f64 t 2) (neg.f64 (pow.f64 l 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 t 2)) (/.f64 1/2 (pow.f64 l 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 t 2)) (*.f64 (/.f64 1 (pow.f64 l 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 t 2)) (*.f64 (*.f64 (/.f64 1 (pow.f64 l 2)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 t 2)) (*.f64 (*.f64 2 (/.f64 1/2 (pow.f64 l 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 t 2) 4) (/.f64 2 (*.f64 (pow.f64 l 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 t 2) 4) (*.f64 (/.f64 2 (*.f64 (pow.f64 l 2) 8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 t 2) 4) (*.f64 1/4 (/.f64 1 (pow.f64 l 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 t 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 l 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (pow.f64 t 2) (/.f64 1/2 (pow.f64 l 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 l 2)) (pow.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 t 2)) (/.f64 -1 (pow.f64 l 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 t 2)) (*.f64 (/.f64 -1 (pow.f64 l 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (pow.f64 l 2))) (/.f64 (pow.f64 t 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (pow.f64 l 2))) (*.f64 (/.f64 (pow.f64 t 2) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (pow.f64 l 2))) (*.f64 (pow.f64 t 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 t 2) (/.f64 1/2 (pow.f64 l 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 l 2)) (*.f64 2 (pow.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (pow.f64 l 2)) 1/2) (*.f64 2 (pow.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 t 2) (neg.f64 (pow.f64 l 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 t 2) 2) (*.f64 2 (/.f64 1 (pow.f64 l 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (pow.f64 l 2) 8)) (*.f64 (pow.f64 t 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 l 2)) (neg.f64 (pow.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (pow.f64 l 2)) (/.f64 1/2 (pow.f64 l 2))) (pow.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 t 2) (neg.f64 (pow.f64 l 2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 4)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))))) |
| 1× | egg-herbie |
| 1142× | rational.json-simplify-2 |
| 1032× | rational.json-simplify-35 |
| 872× | rational.json-simplify-41 |
| 820× | rational.json-simplify-50 |
| 736× | rational.json-simplify-46 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 295 | 6378 |
| 1 | 647 | 6344 |
| 2 | 1265 | 6344 |
| 3 | 2566 | 6290 |
| 4 | 4684 | 6290 |
| 5 | 5902 | 6290 |
| 6 | 6699 | 6286 |
| 7 | 7983 | 6286 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) (*.f64 1/2 (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 l 4))) (pow.f64 (/.f64 -1 (pow.f64 l 2)) 2)) (pow.f64 t 4))))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 t 6) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 l 6))) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 l 4))) (pow.f64 (/.f64 -1 (pow.f64 l 2)) 2)) (pow.f64 l 2)))))) (*.f64 1/2 (*.f64 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 l 4))) (pow.f64 (/.f64 -1 (pow.f64 l 2)) 2)) (pow.f64 t 4)))))) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (*.f64 -1/8 (/.f64 (pow.f64 l 3) (*.f64 (sqrt.f64 1/2) (pow.f64 t 3))))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 l 6)) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 l 3) (sqrt.f64 1/2))) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 t 5) l)))) (*.f64 -1/8 (/.f64 (pow.f64 l 3) (*.f64 (sqrt.f64 1/2) (pow.f64 t 3)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 l 8)) (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 l 6)) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 l 3) (sqrt.f64 1/2))) 2)) (pow.f64 l 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 t 7) l)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 l 6)) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 l 3) (sqrt.f64 1/2))) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 t 5) l)))) (*.f64 -1/8 (/.f64 (pow.f64 l 3) (*.f64 (sqrt.f64 1/2) (pow.f64 t 3))))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 l 3) (*.f64 (sqrt.f64 1/2) (pow.f64 t 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 l 3) (*.f64 (sqrt.f64 1/2) (pow.f64 t 3)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 l 6)) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 l 3) (sqrt.f64 1/2))) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 t 5) l)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 l 3) (*.f64 (sqrt.f64 1/2) (pow.f64 t 3)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 l 6)) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 l 3) (sqrt.f64 1/2))) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 t 5) l)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 l 8)) (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 l 6)) (pow.f64 (*.f64 -1/8 (/.f64 (pow.f64 l 3) (sqrt.f64 1/2))) 2)) (pow.f64 l 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 t 7) l))))))) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (*.f64 -1/8 (/.f64 (pow.f64 l 3) (*.f64 (sqrt.f64 1/2) (pow.f64 t 3))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 6))) (pow.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 t 3))) 2)) (*.f64 (pow.f64 l 5) t)) (sqrt.f64 1/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (*.f64 -1/8 (/.f64 (pow.f64 l 3) (*.f64 (sqrt.f64 1/2) (pow.f64 t 3)))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 6))) (pow.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 t 3))) 2)) (*.f64 (pow.f64 l 5) t)) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 t 8))) (*.f64 -1/8 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 t 6))) (pow.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 t 3))) 2)) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 t 2))))) (*.f64 (pow.f64 l 7) t)) (sqrt.f64 1/2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (*.f64 -1/8 (/.f64 (pow.f64 l 3) (*.f64 (sqrt.f64 1/2) (pow.f64 t 3))))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -4 (pow.f64 t 4)) (pow.f64 (*.f64 -1 (pow.f64 t 2)) 2)) (pow.f64 l 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 8 (pow.f64 t 6)) (*.f64 (+.f64 (*.f64 -4 (pow.f64 t 4)) (pow.f64 (*.f64 -1 (pow.f64 t 2)) 2)) (pow.f64 t 2))) (pow.f64 l 6))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -4 (pow.f64 t 4)) (pow.f64 (*.f64 -1 (pow.f64 t 2)) 2)) (pow.f64 l 4)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -4 (pow.f64 t 4)) (pow.f64 (*.f64 -1 (pow.f64 t 2)) 2)) (pow.f64 l 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 8 (pow.f64 t 6)) (*.f64 (+.f64 (*.f64 -4 (pow.f64 t 4)) (pow.f64 (*.f64 -1 (pow.f64 t 2)) 2)) (pow.f64 t 2))) (pow.f64 l 6))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -4 (pow.f64 t 4)) (pow.f64 (*.f64 -1 (pow.f64 t 2)) 2)) (pow.f64 l 4)))))) |
1 |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) 1) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 t 4) (pow.f64 l 4))))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) (+.f64 1 (+.f64 (*.f64 -8 (/.f64 (pow.f64 t 6) (pow.f64 l 6))) (*.f64 4 (/.f64 (pow.f64 t 4) (pow.f64 l 4)))))) |
(*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) (*.f64 -1/4 (/.f64 (pow.f64 l 4) (pow.f64 t 4)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 l 6) (pow.f64 t 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) (*.f64 -1/4 (/.f64 (pow.f64 l 4) (pow.f64 t 4))))) |
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 l 8) (pow.f64 t 8))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 l 6) (pow.f64 t 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) (*.f64 -1/4 (/.f64 (pow.f64 l 4) (pow.f64 t 4)))))) |
(*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) (*.f64 -1/4 (/.f64 (pow.f64 l 4) (pow.f64 t 4)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 l 6) (pow.f64 t 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) (*.f64 -1/4 (/.f64 (pow.f64 l 4) (pow.f64 t 4))))) |
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 l 8) (pow.f64 t 8))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 l 6) (pow.f64 t 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) (*.f64 -1/4 (/.f64 (pow.f64 l 4) (pow.f64 t 4)))))) |
(*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) (*.f64 -1/4 (/.f64 (pow.f64 l 4) (pow.f64 t 4)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 l 6) (pow.f64 t 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) (*.f64 -1/4 (/.f64 (pow.f64 l 4) (pow.f64 t 4))))) |
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 l 8) (pow.f64 t 8))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 l 6) (pow.f64 t 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) (*.f64 -1/4 (/.f64 (pow.f64 l 4) (pow.f64 t 4)))))) |
1 |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) 1) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 t 4) (pow.f64 l 4))))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) (+.f64 1 (+.f64 (*.f64 -8 (/.f64 (pow.f64 t 6) (pow.f64 l 6))) (*.f64 4 (/.f64 (pow.f64 t 4) (pow.f64 l 4)))))) |
1 |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) 1) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) (+.f64 1 (*.f64 4 (/.f64 (pow.f64 t 4) (pow.f64 l 4))))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) (+.f64 1 (+.f64 (*.f64 -8 (/.f64 (pow.f64 t 6) (pow.f64 l 6))) (*.f64 4 (/.f64 (pow.f64 t 4) (pow.f64 l 4)))))) |
(+.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 0) |
(+.f64 0 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) |
(+.f64 (*.f64 (pow.f64 t 2) (/.f64 1/2 (pow.f64 l 2))) (*.f64 (pow.f64 t 2) (/.f64 1/2 (pow.f64 l 2)))) |
(-.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 0) |
(*.f64 2 (*.f64 (pow.f64 t 2) (/.f64 1/2 (pow.f64 l 2)))) |
(*.f64 (pow.f64 t 2) (/.f64 1 (pow.f64 l 2))) |
(*.f64 (pow.f64 t 2) (*.f64 2 (/.f64 1/2 (pow.f64 l 2)))) |
(*.f64 (pow.f64 t 2) (*.f64 (*.f64 2 (/.f64 1 (pow.f64 l 2))) 1/2)) |
(*.f64 (pow.f64 t 2) (*.f64 (/.f64 2 (pow.f64 l 2)) 1/2)) |
(*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 1) |
(*.f64 1 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) |
(*.f64 (/.f64 2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) 1/2) |
(*.f64 -1 (/.f64 (pow.f64 t 2) (neg.f64 (pow.f64 l 2)))) |
(*.f64 -1 (*.f64 (/.f64 (pow.f64 t 2) (neg.f64 (pow.f64 l 2))) 1)) |
(*.f64 (*.f64 2 (pow.f64 t 2)) (/.f64 1/2 (pow.f64 l 2))) |
(*.f64 (*.f64 2 (pow.f64 t 2)) (*.f64 (/.f64 1 (pow.f64 l 2)) 1/2)) |
(*.f64 (*.f64 2 (pow.f64 t 2)) (*.f64 (*.f64 (/.f64 1 (pow.f64 l 2)) 1/2) 1)) |
(*.f64 (*.f64 2 (pow.f64 t 2)) (*.f64 (*.f64 2 (/.f64 1/2 (pow.f64 l 2))) 1/2)) |
(*.f64 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4) 1/4) |
(*.f64 (*.f64 (pow.f64 t 2) 4) (/.f64 2 (*.f64 (pow.f64 l 2) 8))) |
(*.f64 (*.f64 (pow.f64 t 2) 4) (*.f64 (/.f64 2 (*.f64 (pow.f64 l 2) 8)) 1)) |
(*.f64 (*.f64 (pow.f64 t 2) 4) (*.f64 1/4 (/.f64 1 (pow.f64 l 2)))) |
(*.f64 (*.f64 (pow.f64 t 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 l 2)))) |
(*.f64 4 (/.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)) |
(*.f64 4 (*.f64 (/.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4) 1)) |
(*.f64 4 (*.f64 (*.f64 (pow.f64 t 2) (/.f64 1/2 (pow.f64 l 2))) 1/2)) |
(*.f64 (/.f64 1 (pow.f64 l 2)) (pow.f64 t 2)) |
(*.f64 (neg.f64 (pow.f64 t 2)) (/.f64 -1 (pow.f64 l 2))) |
(*.f64 (neg.f64 (pow.f64 t 2)) (*.f64 (/.f64 -1 (pow.f64 l 2)) 1)) |
(*.f64 (*.f64 2 (/.f64 1 (pow.f64 l 2))) (/.f64 (pow.f64 t 2) 2)) |
(*.f64 (*.f64 2 (/.f64 1 (pow.f64 l 2))) (*.f64 (/.f64 (pow.f64 t 2) 2) 1)) |
(*.f64 (*.f64 2 (/.f64 1 (pow.f64 l 2))) (*.f64 (pow.f64 t 2) 1/2)) |
(*.f64 (*.f64 (pow.f64 t 2) (/.f64 1/2 (pow.f64 l 2))) 2) |
(*.f64 1/2 (/.f64 2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) |
(*.f64 (/.f64 1/2 (pow.f64 l 2)) (*.f64 2 (pow.f64 t 2))) |
(*.f64 (*.f64 (/.f64 1 (pow.f64 l 2)) 1/2) (*.f64 2 (pow.f64 t 2))) |
(*.f64 (/.f64 (pow.f64 t 2) (neg.f64 (pow.f64 l 2))) -1) |
(*.f64 (/.f64 (pow.f64 t 2) 2) (*.f64 2 (/.f64 1 (pow.f64 l 2)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4) 4) |
(*.f64 1/4 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)) |
(*.f64 (/.f64 2 (*.f64 (pow.f64 l 2) 8)) (*.f64 (pow.f64 t 2) 4)) |
(*.f64 (/.f64 -1 (pow.f64 l 2)) (neg.f64 (pow.f64 t 2))) |
(*.f64 (+.f64 (/.f64 1/2 (pow.f64 l 2)) (/.f64 1/2 (pow.f64 l 2))) (pow.f64 t 2)) |
(neg.f64 (/.f64 (pow.f64 t 2) (neg.f64 (pow.f64 l 2)))) |
(+.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 0) |
(+.f64 0 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(-.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 0) |
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 2)) |
(*.f64 2 (*.f64 (/.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 2) 1)) |
(*.f64 1 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 1) |
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 1/2) |
(*.f64 1/2 (*.f64 2 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 2) 2) |
(/.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 1) |
(/.f64 (*.f64 2 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 2) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 4))) 16) |
(+.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 0) |
(+.f64 0 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))) |
(-.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 0) |
(*.f64 2 (/.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 2)) |
(*.f64 2 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 2) 1)) |
(*.f64 1 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))) |
(*.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 1) |
(*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))) 1/2) |
(*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))))) |
(*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 2) 2) |
(/.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 1) |
(/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))) 2) |
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 4)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 4))) 16) |
(+.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) 0) |
(+.f64 0 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(-.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) 0) |
(*.f64 2 (/.f64 1 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(*.f64 2 (*.f64 (/.f64 1 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) 1)) |
(*.f64 1 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(*.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) 1) |
(*.f64 (*.f64 2 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 1/2) |
(*.f64 1/2 (*.f64 2 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(*.f64 (/.f64 1 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) 2) |
| Outputs |
|---|
1 |
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(sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(*.f64 1 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 1) |
(sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 1/2) |
(sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(*.f64 1/2 (*.f64 2 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))) |
(sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 2) 2) |
(sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(/.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 1) |
(sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(/.f64 (*.f64 2 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 2) |
(sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 4) 4) |
(sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 4)) 8) |
(sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 4))) 16) |
(sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(+.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 0) |
(asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(+.f64 0 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))) |
(asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(-.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 0) |
(asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(*.f64 2 (/.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 2)) |
(asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(*.f64 2 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 2) 1)) |
(asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(*.f64 1 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))) |
(asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(*.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 1) |
(asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))) 1/2) |
(asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))))) |
(asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 2) 2) |
(asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(/.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 1) |
(asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))))) 2) |
(asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 4) 4) |
(asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 4)) 8) |
(asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 4)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) 4))) 16) |
(asin.f64 (sqrt.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(+.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) 0) |
(/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) |
(+.f64 0 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) |
(-.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) 0) |
(/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) |
(*.f64 2 (/.f64 1 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(*.f64 2 (*.f64 (/.f64 1 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) 1)) |
(*.f64 2 (/.f64 1 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(*.f64 1 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
(/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) |
(*.f64 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) 1) |
(/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) |
(*.f64 (*.f64 2 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) 1/2) |
(/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) |
(*.f64 1/2 (*.f64 2 (/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))))) |
(/.f64 2 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) |
(*.f64 (/.f64 1 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4))) 2) |
(*.f64 2 (/.f64 1 (+.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) 4)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
| ✓ | 0.7b | (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
| ✓ | 17.0b | (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
Compiled 51 to 39 computations (23.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | Om | @ | 0 | (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
| 1.0ms | Omc | @ | 0 | (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
| 1.0ms | Om | @ | inf | (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
| 0.0ms | Om | @ | inf | (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
| 0.0ms | Omc | @ | 0 | (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
| 1× | batch-egg-rewrite |
| 1986× | bool.json-1 |
| 1986× | bool.json-2 |
| 1626× | bool.json-3 |
| 702× | rational.json-simplify-35 |
| 598× | rational.json-simplify-49 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 81 |
| 1 | 131 | 81 |
| 2 | 359 | 81 |
| 3 | 771 | 81 |
| 4 | 1800 | 81 |
| 5 | 5644 | 81 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 Om 2) (/.f64 1 (pow.f64 Omc 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 Om 2) (*.f64 (*.f64 2 (/.f64 1 (pow.f64 Omc 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 Om 2) (*.f64 (/.f64 2 (pow.f64 Omc 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 Omc 2) (/.f64 (/.f64 1 (pow.f64 Om 2)) (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 Om 2)) (/.f64 1/2 (pow.f64 Omc 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 Om 2) 4) (/.f64 2 (*.f64 (pow.f64 Omc 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 Om 2) 4) (*.f64 (/.f64 2 (*.f64 (pow.f64 Omc 2) 8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 Om 2) 4) (*.f64 1/4 (/.f64 1 (pow.f64 Omc 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 Om 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 Omc 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 Om 2) (*.f64 (pow.f64 Omc 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 Omc 2)) (pow.f64 Om 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 Omc 2)) (/.f64 1 (/.f64 1 (pow.f64 Om 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 Om 2)) (/.f64 -1 (pow.f64 Omc 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 Om 2)) (*.f64 (/.f64 -1 (pow.f64 Omc 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (/.f64 1 (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (/.f64 2 (*.f64 2 (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (pow.f64 Om 2) (neg.f64 (pow.f64 Omc 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (pow.f64 Om 2) (neg.f64 (pow.f64 Omc 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 2 (pow.f64 Om 2)) (neg.f64 (*.f64 2 (pow.f64 Omc 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2))) (/.f64 1 (*.f64 2 (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2))) (/.f64 1/2 (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 Om 2) 4) (pow.f64 Omc 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 Om 2) 8) (/.f64 1 (*.f64 (pow.f64 Omc 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 Om 2)) (/.f64 (pow.f64 Omc 2) (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 Om 2)) (/.f64 (*.f64 2 (pow.f64 Omc 2)) (*.f64 2 (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 Omc 2)) (*.f64 2 (pow.f64 Om 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 Om 2) -2) (/.f64 1/2 (neg.f64 (pow.f64 Omc 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 Om 2) -2) (/.f64 1 (*.f64 (pow.f64 Omc 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 Om 2) -2) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 Omc 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (pow.f64 Omc 2))) (*.f64 (pow.f64 Om 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 Om 2) (neg.f64 (pow.f64 Omc 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 Omc 2) (/.f64 1/2 (pow.f64 Om 2))) (/.f64 2 (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 Om 2)) (/.f64 (*.f64 2 (pow.f64 Omc 2)) (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 Omc 2)) (*.f64 (pow.f64 Om 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 Om 2)) (/.f64 (neg.f64 (pow.f64 Omc 2)) (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (pow.f64 Omc 2) 8)) (*.f64 (pow.f64 Om 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 Omc 2)) (neg.f64 (pow.f64 Om 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 Om 2)) (/.f64 (pow.f64 Omc 2) (*.f64 2 (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 Om 2) 1/2) (/.f64 2 (pow.f64 Omc 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 (pow.f64 Om 2) 4) (pow.f64 Omc 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (pow.f64 Omc 2)) (/.f64 1/2 (pow.f64 Omc 2))) (pow.f64 Om 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 Om 2) (neg.f64 (pow.f64 Omc 2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))))) |
| 1× | egg-herbie |
| 1494× | rational.json-simplify-53 |
| 1336× | rational.json-simplify-54 |
| 1242× | rational.json-simplify-2 |
| 864× | rational.json-simplify-1 |
| 774× | rational.json-simplify-35 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 4168 |
| 1 | 507 | 4154 |
| 2 | 1182 | 3924 |
| 3 | 3665 | 3882 |
| 4 | 5879 | 3882 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) |
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) |
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))) |
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) |
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))) |
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))) |
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))))) |
(/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) |
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) |
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))) |
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))))) |
(+.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) 0) |
(+.f64 0 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) |
(-.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) 0) |
(*.f64 2 (/.f64 1/2 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)))) |
(*.f64 (pow.f64 Om 2) (/.f64 1 (pow.f64 Omc 2))) |
(*.f64 (pow.f64 Om 2) (*.f64 (*.f64 2 (/.f64 1 (pow.f64 Omc 2))) 1/2)) |
(*.f64 (pow.f64 Om 2) (*.f64 (/.f64 2 (pow.f64 Omc 2)) 1/2)) |
(*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 1 (pow.f64 Om 2)) (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2))))) |
(*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) 1) |
(*.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) |
(*.f64 (*.f64 2 (pow.f64 Om 2)) (/.f64 1/2 (pow.f64 Omc 2))) |
(*.f64 (/.f64 2 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2))) 1/2) |
(*.f64 (*.f64 (pow.f64 Om 2) 4) (/.f64 2 (*.f64 (pow.f64 Omc 2) 8))) |
(*.f64 (*.f64 (pow.f64 Om 2) 4) (*.f64 (/.f64 2 (*.f64 (pow.f64 Omc 2) 8)) 1)) |
(*.f64 (*.f64 (pow.f64 Om 2) 4) (*.f64 1/4 (/.f64 1 (pow.f64 Omc 2)))) |
(*.f64 (*.f64 (pow.f64 Om 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 Omc 2)))) |
(*.f64 4 (/.f64 (pow.f64 Om 2) (*.f64 (pow.f64 Omc 2) 4))) |
(*.f64 4 (/.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) 4)) |
(*.f64 (/.f64 1 (pow.f64 Omc 2)) (pow.f64 Om 2)) |
(*.f64 (/.f64 1 (pow.f64 Omc 2)) (/.f64 1 (/.f64 1 (pow.f64 Om 2)))) |
(*.f64 (neg.f64 (pow.f64 Om 2)) (/.f64 -1 (pow.f64 Omc 2))) |
(*.f64 (neg.f64 (pow.f64 Om 2)) (*.f64 (/.f64 -1 (pow.f64 Omc 2)) 1)) |
(*.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (/.f64 1 (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2))))) |
(*.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (/.f64 2 (*.f64 2 (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2)))))) |
(*.f64 -1 (/.f64 (pow.f64 Om 2) (neg.f64 (pow.f64 Omc 2)))) |
(*.f64 -1 (*.f64 (/.f64 (pow.f64 Om 2) (neg.f64 (pow.f64 Omc 2))) 1)) |
(*.f64 -1 (/.f64 (*.f64 2 (pow.f64 Om 2)) (neg.f64 (*.f64 2 (pow.f64 Omc 2))))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2))) (/.f64 1 (*.f64 2 (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2)))))) |
(*.f64 (*.f64 2 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2))) (/.f64 1/2 (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 Om 2) 4) (pow.f64 Omc 2)) 1/4) |
(*.f64 (*.f64 (pow.f64 Om 2) 8) (/.f64 1 (*.f64 (pow.f64 Omc 2) 8))) |
(*.f64 (/.f64 1 (pow.f64 Om 2)) (/.f64 (pow.f64 Omc 2) (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2))))) |
(*.f64 (/.f64 1 (pow.f64 Om 2)) (/.f64 (*.f64 2 (pow.f64 Omc 2)) (*.f64 2 (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2)))))) |
(*.f64 (/.f64 1/2 (pow.f64 Omc 2)) (*.f64 2 (pow.f64 Om 2))) |
(*.f64 1/2 (/.f64 2 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)))) |
(*.f64 (*.f64 (pow.f64 Om 2) -2) (/.f64 1/2 (neg.f64 (pow.f64 Omc 2)))) |
(*.f64 (*.f64 (pow.f64 Om 2) -2) (/.f64 1 (*.f64 (pow.f64 Omc 2) -2))) |
(*.f64 (*.f64 (pow.f64 Om 2) -2) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 Omc 2))))) |
(*.f64 (*.f64 2 (/.f64 1 (pow.f64 Omc 2))) (*.f64 (pow.f64 Om 2) 1/2)) |
(*.f64 (/.f64 (pow.f64 Om 2) (neg.f64 (pow.f64 Omc 2))) -1) |
(*.f64 (*.f64 (pow.f64 Omc 2) (/.f64 1/2 (pow.f64 Om 2))) (/.f64 2 (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2))))) |
(*.f64 (/.f64 1/2 (pow.f64 Om 2)) (/.f64 (*.f64 2 (pow.f64 Omc 2)) (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2))))) |
(*.f64 (/.f64 1/2 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2))) 2) |
(*.f64 (/.f64 2 (pow.f64 Omc 2)) (*.f64 (pow.f64 Om 2) 1/2)) |
(*.f64 (/.f64 -1 (pow.f64 Om 2)) (/.f64 (neg.f64 (pow.f64 Omc 2)) (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2))))) |
(*.f64 (/.f64 2 (*.f64 (pow.f64 Omc 2) 8)) (*.f64 (pow.f64 Om 2) 4)) |
(*.f64 (/.f64 -1 (pow.f64 Omc 2)) (neg.f64 (pow.f64 Om 2))) |
(*.f64 (/.f64 2 (pow.f64 Om 2)) (/.f64 (pow.f64 Omc 2) (*.f64 2 (*.f64 (pow.f64 Omc 2) (/.f64 (/.f64 (pow.f64 Omc 2) (pow.f64 Om 2)) (pow.f64 Om 2)))))) |
(*.f64 (*.f64 (pow.f64 Om 2) 1/2) (/.f64 2 (pow.f64 Omc 2))) |
(*.f64 1/4 (/.f64 (*.f64 (pow.f64 Om 2) 4) (pow.f64 Omc 2))) |
(*.f64 (+.f64 (/.f64 1/2 (pow.f64 Omc 2)) (/.f64 1/2 (pow.f64 Omc 2))) (pow.f64 Om 2)) |
(neg.f64 (/.f64 (pow.f64 Om 2) (neg.f64 (pow.f64 Omc 2)))) |
(+.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 0) |
(+.f64 0 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(-.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 0) |
(*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1/2)) |
(*.f64 1 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1) |
(*.f64 4 (/.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4)) |
(*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 1/2) |
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4) 1/4) |
(*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) |
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1/2) 2) |
(/.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1) |
(/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 2) |
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4))) 16) |
(+.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 0) |
(+.f64 0 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(-.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 0) |
(*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 1/2)) |
(*.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 1) |
(*.f64 4 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4)) |
(*.f64 (*.f64 2 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1/2) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4) 1/4) |
(*.f64 1/2 (*.f64 2 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 1/2) 2) |
(/.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 1) |
(/.f64 (*.f64 2 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 2) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4))) 16) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) |
(*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) |
(*.f64 (sqrt.f64 -1) (/.f64 Om Omc)) |
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) |
(+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (*.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om))) |
(+.f64 (*.f64 (sqrt.f64 -1) (/.f64 Om Omc)) (*.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)))) |
(+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (*.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)))) |
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))) |
(+.f64 (*.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om)) (+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))))) |
(+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (*.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om)))) |
(+.f64 (*.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1))) (+.f64 (*.f64 (sqrt.f64 -1) (/.f64 Om Omc)) (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))))) |
(+.f64 (+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (*.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)))) (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))))) |
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))) |
(+.f64 (*.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))))))) |
(+.f64 (*.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om)) (+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (+.f64 (*.f64 (sqrt.f64 -1) (/.f64 Om Omc)) (*.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (+.f64 (*.f64 (sqrt.f64 -1) (/.f64 Om Omc)) (*.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)))) (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))))) |
(+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (+.f64 (*.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) |
(*.f64 -1 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc))) |
(neg.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc))) |
(neg.f64 (*.f64 (sqrt.f64 -1) (/.f64 Om Omc))) |
(*.f64 (sqrt.f64 -1) (neg.f64 (/.f64 Om Omc))) |
(*.f64 (/.f64 (sqrt.f64 -1) Omc) (neg.f64 Om)) |
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))) |
(+.f64 (*.f64 -1 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc))) (*.f64 -1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om))) |
(+.f64 (neg.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc))) (*.f64 -1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om))) |
(+.f64 (neg.f64 (*.f64 (sqrt.f64 -1) (/.f64 Om Omc))) (*.f64 -1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)))) |
(+.f64 (*.f64 (sqrt.f64 -1) (neg.f64 (/.f64 Om Omc))) (*.f64 -1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 -1) Omc) (neg.f64 Om)) (*.f64 -1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)))) |
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))) |
(+.f64 (*.f64 -1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om)) (+.f64 (*.f64 -1 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc))) (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) 1/8))) |
(+.f64 (neg.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc))) (+.f64 (*.f64 -1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om)) (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) 1/8))) |
(+.f64 (neg.f64 (*.f64 (sqrt.f64 -1) (/.f64 Om Omc))) (+.f64 (*.f64 -1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1))) (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) 1/8))) |
(+.f64 (*.f64 (sqrt.f64 -1) (neg.f64 (/.f64 Om Omc))) (+.f64 (*.f64 -1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1))) (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) 1/8))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 -1) Omc) (neg.f64 Om)) (+.f64 (*.f64 -1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1))) (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) 1/8))) |
(+.f64 (*.f64 -1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))))) |
(+.f64 (*.f64 -1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om)) (+.f64 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) 1/8) (+.f64 (*.f64 -1 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc))) (*.f64 -1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) 1/8) (+.f64 (+.f64 (neg.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc))) (*.f64 -1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om))) (*.f64 -1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))))) |
(+.f64 (+.f64 (neg.f64 (*.f64 (sqrt.f64 -1) (/.f64 Om Omc))) (*.f64 -1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)))) (+.f64 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) 1/8) (*.f64 -1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))))) |
(+.f64 (+.f64 (*.f64 (sqrt.f64 -1) (neg.f64 (/.f64 Om Omc))) (*.f64 -1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)))) (+.f64 (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) 1/8) (*.f64 -1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 -1) Omc) (neg.f64 Om)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (+.f64 (*.f64 -1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1))) (*.f64 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))) 1/8)))) |
(/.f64 (*.f64 (sqrt.f64 -1) Om) Omc) |
(*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) |
(*.f64 (sqrt.f64 -1) (/.f64 Om Omc)) |
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)) |
(+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (*.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om))) |
(+.f64 (*.f64 (sqrt.f64 -1) (/.f64 Om Omc)) (*.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)))) |
(+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (*.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)))) |
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc))) |
(+.f64 (*.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om)) (+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))))) |
(+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (*.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om)))) |
(+.f64 (*.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1))) (+.f64 (*.f64 (sqrt.f64 -1) (/.f64 Om Omc)) (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))))) |
(+.f64 (+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (*.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)))) (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))))) |
(+.f64 (*.f64 1/2 (/.f64 Omc (*.f64 (sqrt.f64 -1) Om))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (/.f64 (*.f64 (sqrt.f64 -1) Om) Omc)))) |
(+.f64 (*.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5))))))) |
(+.f64 (*.f64 1/2 (/.f64 (/.f64 Omc (sqrt.f64 -1)) Om)) (+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (+.f64 (*.f64 (sqrt.f64 -1) (/.f64 Om Omc)) (*.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3)))) (+.f64 (+.f64 (*.f64 (sqrt.f64 -1) (/.f64 Om Omc)) (*.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1)))) (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))))) |
(+.f64 (*.f64 Om (/.f64 (sqrt.f64 -1) Omc)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 Omc 5) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 Om 5)))) (+.f64 (*.f64 1/2 (/.f64 (/.f64 Omc Om) (sqrt.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 Omc 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 Om 3))))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))))) |
(+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 Om 4) (pow.f64 Omc 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/16 (/.f64 (pow.f64 Om 6) (pow.f64 Omc 6)))))) |
(+.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) 0) |
(/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
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(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4))) 16) |
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(+.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 0) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(+.f64 0 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(-.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 0) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 1/2)) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(*.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 1) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(*.f64 4 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4)) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(*.f64 (*.f64 2 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1/2) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4) 1/4) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(*.f64 1/2 (*.f64 2 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 1/2) 2) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(/.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 1) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(/.f64 (*.f64 2 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 2) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4) 4) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4)) 8) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) 4))) 16) |
(sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
| 0.0b | (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) | |
| ✓ | 0.3b | (*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
| 17.0b | (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
Compiled 89 to 62 computations (30.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | Om | @ | -inf | (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
| 1.0ms | l | @ | 0 | (*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
| 0.0ms | t | @ | 0 | (*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
| 0.0ms | t | @ | -inf | (*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
| 0.0ms | l | @ | -inf | (*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
| 1× | batch-egg-rewrite |
| 1282× | rational.json-simplify-35 |
| 1058× | bool.json-1 |
| 1058× | bool.json-2 |
| 1032× | rational.json-1 |
| 1032× | rational.json-2 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 72 |
| 1 | 201 | 72 |
| 2 | 539 | 72 |
| 3 | 1206 | 72 |
| 4 | 3024 | 72 |
| 5 | 7970 | 72 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (/.f64 t l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 t (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 l t) (/.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 t l) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 t (/.f64 2 l)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (/.f64 t l) (sqrt.f64 1/2)) (/.f64 (/.f64 t l) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 l l) (/.f64 (+.f64 t t) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 l l) (+.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (/.f64 2 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 2 t)) (/.f64 2 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 2 t)) (+.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l 4) (+.f64 (/.f64 (+.f64 t t) (sqrt.f64 1/2)) (/.f64 (+.f64 t t) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 t (/.f64 2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (*.f64 t (/.f64 2 l)) (sqrt.f64 1/2)) (/.f64 (*.f64 t (/.f64 2 l)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 l) (/.f64 t (neg.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l t) 4) (+.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 2 (*.f64 t (/.f64 2 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 4 (/.f64 t l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l -2) (+.f64 (/.f64 t (neg.f64 (sqrt.f64 1/2))) (/.f64 t (neg.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) 4)) (+.f64 (*.f64 4 (/.f64 t l)) (*.f64 4 (/.f64 t l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) (/.f64 1/2 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t l)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) 2) (/.f64 t (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (/.f64 t l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (sqrt.f64 1/2) t)) (+.f64 (/.f64 1 l) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) 4))) (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t l)) (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t l))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2))) (+.f64 (neg.f64 (/.f64 t l)) (neg.f64 (/.f64 t l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) 1/2) (*.f64 t (/.f64 2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 -1 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 2) t) (/.f64 2 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) 2)) (-.f64 0 (*.f64 t (/.f64 2 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) t)) (-.f64 0 (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sqrt.f64 1/2))) (/.f64 t l))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 1/2) (/.f64 l t))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (*.f64 (sqrt.f64 1/2) (/.f64 l t))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 4)) (*.f64 2 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))))))) |
| 1× | egg-herbie |
| 1178× | rational.json-simplify-47 |
| 1134× | rational.json-simplify-44 |
| 1108× | rational.json-simplify-51 |
| 1036× | rational.json-simplify-35 |
| 704× | rational.json-simplify-41 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 4532 |
| 1 | 432 | 4532 |
| 2 | 1150 | 4532 |
| 3 | 4937 | 4532 |
| 4 | 7260 | 4532 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(+.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0) |
(/.f64 (sqrt.f64 1/2) (/.f64 t l)) |
(/.f64 l (/.f64 t (sqrt.f64 1/2))) |
(/.f64 (/.f64 l t) (/.f64 1 (sqrt.f64 1/2))) |
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1) |
(/.f64 1 (/.f64 (/.f64 t l) (sqrt.f64 1/2))) |
(/.f64 2 (/.f64 (*.f64 t (/.f64 2 l)) (sqrt.f64 1/2))) |
(/.f64 2 (+.f64 (/.f64 (/.f64 t l) (sqrt.f64 1/2)) (/.f64 (/.f64 t l) (sqrt.f64 1/2)))) |
(/.f64 (+.f64 l l) (/.f64 (+.f64 t t) (sqrt.f64 1/2))) |
(/.f64 (+.f64 l l) (+.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (/.f64 2 t))) 2) |
(/.f64 (*.f64 l (/.f64 2 t)) (/.f64 2 (sqrt.f64 1/2))) |
(/.f64 (*.f64 l (/.f64 2 t)) (+.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 1 (sqrt.f64 1/2)))) |
(/.f64 (*.f64 l 4) (+.f64 (/.f64 (+.f64 t t) (sqrt.f64 1/2)) (/.f64 (+.f64 t t) (sqrt.f64 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 t (/.f64 2 l))) |
(/.f64 4 (+.f64 (/.f64 (*.f64 t (/.f64 2 l)) (sqrt.f64 1/2)) (/.f64 (*.f64 t (/.f64 2 l)) (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 l) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(/.f64 (*.f64 (/.f64 l t) 4) (+.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 2 (sqrt.f64 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 2 (*.f64 t (/.f64 2 l)))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 4 (/.f64 t l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) 4)) 4) |
(/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 l)) |
(/.f64 (*.f64 l -2) (+.f64 (/.f64 t (neg.f64 (sqrt.f64 1/2))) (/.f64 t (neg.f64 (sqrt.f64 1/2))))) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) 4))) 8) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) 4)) (+.f64 (*.f64 4 (/.f64 t l)) (*.f64 4 (/.f64 t l)))) |
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) (/.f64 1/2 l)) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t l)) 4) |
(/.f64 (/.f64 (sqrt.f64 1/2) 2) (/.f64 t (+.f64 l l))) |
(/.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (/.f64 t l))) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (sqrt.f64 1/2) t)) (+.f64 (/.f64 1 l) (/.f64 1 l))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) 4))) (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) 4)))) 16) |
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t l)) (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t l))) 8) |
(/.f64 (+.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2))) (+.f64 (neg.f64 (/.f64 t l)) (neg.f64 (/.f64 t l)))) |
(/.f64 (/.f64 (sqrt.f64 1/2) 1/2) (*.f64 t (/.f64 2 l))) |
(/.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 -1 l)) |
(/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) t) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 2) t) (/.f64 2 l)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) 2)) (-.f64 0 (*.f64 t (/.f64 2 l)))) |
(/.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) t)) (-.f64 0 (/.f64 1 l))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 1/2))) (/.f64 t l)) |
(+.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 0) |
(+.f64 0 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) |
(-.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 0) |
(*.f64 1/2 (*.f64 2 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))) |
(*.f64 1 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) |
(*.f64 2 (/.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 2)) |
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 1) |
(*.f64 (*.f64 2 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) 1/2) |
(*.f64 (/.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 2) 2) |
(/.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 1) |
(/.f64 (*.f64 2 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) 2) |
(/.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 4)) (*.f64 2 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 4))) 16) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(+.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (sqrt.f64 1/2) (/.f64 t l)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 l (/.f64 t (sqrt.f64 1/2))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (/.f64 l t) (/.f64 1 (sqrt.f64 1/2))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 1 (/.f64 (/.f64 t l) (sqrt.f64 1/2))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 2 (/.f64 (*.f64 t (/.f64 2 l)) (sqrt.f64 1/2))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 2 (+.f64 (/.f64 (/.f64 t l) (sqrt.f64 1/2)) (/.f64 (/.f64 t l) (sqrt.f64 1/2)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (+.f64 l l) (/.f64 (+.f64 t t) (sqrt.f64 1/2))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (+.f64 l l) (+.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (/.f64 2 t))) 2) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 l (/.f64 2 t)) (/.f64 2 (sqrt.f64 1/2))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 l (/.f64 2 t)) (+.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 1 (sqrt.f64 1/2)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 l 4) (+.f64 (/.f64 (+.f64 t t) (sqrt.f64 1/2)) (/.f64 (+.f64 t t) (sqrt.f64 1/2)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 t (/.f64 2 l))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 4 (+.f64 (/.f64 (*.f64 t (/.f64 2 l)) (sqrt.f64 1/2)) (/.f64 (*.f64 t (/.f64 2 l)) (sqrt.f64 1/2)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 l) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (/.f64 l t) 4) (+.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 2 (sqrt.f64 1/2)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 2 (*.f64 t (/.f64 2 l)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 4 (/.f64 t l))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) 4)) 4) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 l)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 l -2) (+.f64 (/.f64 t (neg.f64 (sqrt.f64 1/2))) (/.f64 t (neg.f64 (sqrt.f64 1/2))))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) 4))) 8) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) 4)) (+.f64 (*.f64 4 (/.f64 t l)) (*.f64 4 (/.f64 t l)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) (/.f64 1/2 l)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t l)) 4) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (/.f64 (sqrt.f64 1/2) 2) (/.f64 t (+.f64 l l))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (/.f64 t l))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (sqrt.f64 1/2) t)) (+.f64 (/.f64 1 l) (/.f64 1 l))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) 4))) (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) 4)))) 16) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t l)) (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t l))) 8) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (+.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2))) (+.f64 (neg.f64 (/.f64 t l)) (neg.f64 (/.f64 t l)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (/.f64 (sqrt.f64 1/2) 1/2) (*.f64 t (/.f64 2 l))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 -1 l)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 2) t) (/.f64 2 l)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) 2)) (-.f64 0 (*.f64 t (/.f64 2 l)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) t)) (-.f64 0 (/.f64 1 l))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 1/2))) (/.f64 t l)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(+.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 0) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(+.f64 0 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(-.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 0) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(*.f64 1/2 (*.f64 2 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(*.f64 1 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(*.f64 2 (/.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 2)) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 1) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(*.f64 (*.f64 2 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) 1/2) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(*.f64 (/.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 2) 2) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(/.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 1) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(/.f64 (*.f64 2 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) 2) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(/.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 4) 4) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 4)) 8) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 4)) (*.f64 2 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 4))) 16) |
(asin.f64 (*.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) | |
| ✓ | 0.2b | (*.f64 l (neg.f64 (/.f64 (sqrt.f64 1/2) t))) |
| ✓ | 0.5b | (/.f64 (sqrt.f64 1/2) t) |
| 17.0b | (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
Compiled 98 to 74 computations (24.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | t | @ | inf | (*.f64 l (neg.f64 (/.f64 (sqrt.f64 1/2) t))) |
| 0.0ms | l | @ | inf | (*.f64 l (neg.f64 (/.f64 (sqrt.f64 1/2) t))) |
| 0.0ms | t | @ | -inf | (/.f64 (sqrt.f64 1/2) t) |
| 0.0ms | t | @ | 0 | (/.f64 (sqrt.f64 1/2) t) |
| 0.0ms | t | @ | 0 | (*.f64 l (neg.f64 (/.f64 (sqrt.f64 1/2) t))) |
| 1× | batch-egg-rewrite |
| 1632× | bool.json-1 |
| 1632× | bool.json-2 |
| 1594× | rational.json-1 |
| 1594× | rational.json-2 |
| 1234× | bool.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 1 | 103 | 32 |
| 2 | 309 | 32 |
| 3 | 799 | 32 |
| 4 | 2290 | 32 |
| 5 | 5832 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 l (neg.f64 (/.f64 (sqrt.f64 1/2) t))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 1/2) t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 1/2) t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sqrt.f64 1/2) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 1/2 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 1/2 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 1/2) (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 t) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 -1/2 t) (neg.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (sqrt.f64 1/2) (*.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 1/2 (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 -1/2 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 t) (neg.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 t) (*.f64 (sqrt.f64 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 t) (*.f64 (sqrt.f64 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1 t)) (*.f64 (sqrt.f64 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (+.f64 t t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 t t)) (*.f64 (sqrt.f64 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 t) (/.f64 1/2 t)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (sqrt.f64 1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (sqrt.f64 1/2) t) (/.f64 (sqrt.f64 1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (sqrt.f64 1/2) t) (/.f64 (sqrt.f64 1/2) t)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 t (neg.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 l l) (/.f64 (*.f64 t -2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 l -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 l) (-.f64 0 (/.f64 t (neg.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (*.f64 (/.f64 (sqrt.f64 1/2) t) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l -2) (/.f64 (+.f64 t t) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 l (*.f64 (/.f64 (sqrt.f64 1/2) t) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 l) t) (/.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 l) (/.f64 1/2 t)) (/.f64 1/2 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 l t) (/.f64 -1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 1/2 t)) (/.f64 -1/2 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 l 2) (/.f64 (/.f64 t -2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 l (*.f64 (/.f64 (sqrt.f64 1/2) t) -4))) (*.f64 2 (*.f64 l (*.f64 (/.f64 (sqrt.f64 1/2) t) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 l 1/2) (/.f64 (*.f64 t -2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 l) 1/2) (/.f64 (+.f64 t t) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 l) -1) (/.f64 t (neg.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 l) 2) (/.f64 t (*.f64 (sqrt.f64 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 l) (neg.f64 t)) (/.f64 -1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 l) (/.f64 1 (sqrt.f64 1/2))) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 l)) (/.f64 t (neg.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))))))) |
| 1× | egg-herbie |
| 1230× | rational.json-simplify-2 |
| 1016× | rational.json-simplify-35 |
| 968× | rational.json-simplify-47 |
| 926× | rational.json-simplify-44 |
| 832× | rational.json-simplify-1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 1534 |
| 1 | 378 | 1432 |
| 2 | 1053 | 1432 |
| 3 | 4214 | 1432 |
| 4 | 5913 | 1432 |
| 5 | 6950 | 1432 |
| 6 | 7893 | 1432 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(+.f64 (/.f64 (sqrt.f64 1/2) t) 0) |
(+.f64 0 (/.f64 (sqrt.f64 1/2) t)) |
(-.f64 (/.f64 (sqrt.f64 1/2) t) 0) |
(*.f64 1/2 (*.f64 (sqrt.f64 1/2) (/.f64 2 t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 1 t)) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) 1) |
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) -1) |
(*.f64 1 (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 1/2 t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 1/2 (/.f64 1 t))) |
(*.f64 2 (/.f64 (sqrt.f64 1/2) (+.f64 t t))) |
(*.f64 2 (*.f64 (/.f64 1/2 t) (sqrt.f64 1/2))) |
(*.f64 2 (*.f64 (/.f64 -1/2 t) (neg.f64 (sqrt.f64 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) 1/2) |
(*.f64 -2 (/.f64 (sqrt.f64 1/2) (*.f64 t -2))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 1/2 (+.f64 t t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 -1/2 t)) |
(*.f64 (/.f64 1 t) (sqrt.f64 1/2)) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 -1 t)) |
(*.f64 (/.f64 -1 t) (neg.f64 (sqrt.f64 1/2))) |
(*.f64 (/.f64 -1/2 t) (*.f64 (sqrt.f64 1/2) -2)) |
(*.f64 (/.f64 1/2 t) (*.f64 (sqrt.f64 1/2) 2)) |
(*.f64 (*.f64 1/2 (/.f64 1 t)) (*.f64 (sqrt.f64 1/2) 2)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t -2)) -2) |
(*.f64 (/.f64 (sqrt.f64 1/2) (+.f64 t t)) 2) |
(*.f64 (/.f64 1/2 (+.f64 t t)) (*.f64 (sqrt.f64 1/2) 4)) |
(*.f64 (+.f64 (/.f64 1/2 t) (/.f64 1/2 t)) (sqrt.f64 1/2)) |
(neg.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(+.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0) |
(/.f64 l (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 1) |
(/.f64 (+.f64 l l) (/.f64 (*.f64 t -2) (sqrt.f64 1/2))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 l -2)) 2) |
(/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2))) |
(/.f64 (neg.f64 l) (-.f64 0 (/.f64 t (neg.f64 (sqrt.f64 1/2))))) |
(/.f64 (*.f64 l (*.f64 (/.f64 (sqrt.f64 1/2) t) -4)) 4) |
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) -1) |
(/.f64 (*.f64 l -2) (/.f64 (+.f64 t t) (sqrt.f64 1/2))) |
(/.f64 (*.f64 2 (*.f64 l (*.f64 (/.f64 (sqrt.f64 1/2) t) -4))) 8) |
(/.f64 (/.f64 (neg.f64 l) t) (/.f64 1 (sqrt.f64 1/2))) |
(/.f64 (*.f64 (neg.f64 l) (/.f64 1/2 t)) (/.f64 1/2 (sqrt.f64 1/2))) |
(/.f64 (/.f64 l t) (/.f64 -1 (sqrt.f64 1/2))) |
(/.f64 (*.f64 l (/.f64 1/2 t)) (/.f64 -1/2 (sqrt.f64 1/2))) |
(/.f64 (/.f64 l 2) (/.f64 (/.f64 t -2) (sqrt.f64 1/2))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 l (*.f64 (/.f64 (sqrt.f64 1/2) t) -4))) (*.f64 2 (*.f64 l (*.f64 (/.f64 (sqrt.f64 1/2) t) -4)))) 16) |
(/.f64 (/.f64 l 1/2) (/.f64 (*.f64 t -2) (sqrt.f64 1/2))) |
(/.f64 (/.f64 (neg.f64 l) 1/2) (/.f64 (+.f64 t t) (sqrt.f64 1/2))) |
(/.f64 (/.f64 (neg.f64 l) -1) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(/.f64 (/.f64 (neg.f64 l) 2) (/.f64 t (*.f64 (sqrt.f64 1/2) 2))) |
(/.f64 (/.f64 (neg.f64 l) (neg.f64 t)) (/.f64 -1 (sqrt.f64 1/2))) |
(/.f64 (/.f64 (neg.f64 l) (/.f64 1 (sqrt.f64 1/2))) t) |
(/.f64 (neg.f64 (neg.f64 l)) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(+.f64 (/.f64 (sqrt.f64 1/2) t) 0) |
(/.f64 (sqrt.f64 1/2) t) |
(+.f64 0 (/.f64 (sqrt.f64 1/2) t)) |
(/.f64 (sqrt.f64 1/2) t) |
(-.f64 (/.f64 (sqrt.f64 1/2) t) 0) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 1/2 (*.f64 (sqrt.f64 1/2) (/.f64 2 t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 1 t)) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) 1) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) -1) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 1 (/.f64 (sqrt.f64 1/2) t)) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 1/2 t)) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 1/2 (/.f64 1 t))) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 2 (/.f64 (sqrt.f64 1/2) (+.f64 t t))) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 2 (*.f64 (/.f64 1/2 t) (sqrt.f64 1/2))) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 2 (*.f64 (/.f64 -1/2 t) (neg.f64 (sqrt.f64 1/2)))) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) 1/2) |
(*.f64 1/2 (*.f64 (sqrt.f64 1/2) (/.f64 2 t))) |
(*.f64 -2 (/.f64 (sqrt.f64 1/2) (*.f64 t -2))) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 1/2 (+.f64 t t))) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 -1/2 t)) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (/.f64 1 t) (sqrt.f64 1/2)) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 -1 t)) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (/.f64 -1 t) (neg.f64 (sqrt.f64 1/2))) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (/.f64 -1/2 t) (*.f64 (sqrt.f64 1/2) -2)) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (/.f64 1/2 t) (*.f64 (sqrt.f64 1/2) 2)) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (*.f64 1/2 (/.f64 1 t)) (*.f64 (sqrt.f64 1/2) 2)) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t -2)) -2) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (/.f64 (sqrt.f64 1/2) (+.f64 t t)) 2) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (/.f64 1/2 (+.f64 t t)) (*.f64 (sqrt.f64 1/2) 4)) |
(/.f64 (sqrt.f64 1/2) t) |
(*.f64 (+.f64 (/.f64 1/2 t) (/.f64 1/2 t)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/2 t) (/.f64 1/2 t))) |
(neg.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(/.f64 (sqrt.f64 1/2) t) |
(+.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 l (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 1) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (+.f64 l l) (/.f64 (*.f64 t -2) (sqrt.f64 1/2))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 l -2)) 2) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (neg.f64 l) (-.f64 0 (/.f64 t (neg.f64 (sqrt.f64 1/2))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 l (*.f64 (/.f64 (sqrt.f64 1/2) t) -4)) 4) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) -1) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 l -2) (/.f64 (+.f64 t t) (sqrt.f64 1/2))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 2 (*.f64 l (*.f64 (/.f64 (sqrt.f64 1/2) t) -4))) 8) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 (neg.f64 l) t) (/.f64 1 (sqrt.f64 1/2))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 (neg.f64 l) (/.f64 1/2 t)) (/.f64 1/2 (sqrt.f64 1/2))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 l t) (/.f64 -1 (sqrt.f64 1/2))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 l (/.f64 1/2 t)) (/.f64 -1/2 (sqrt.f64 1/2))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 l 2) (/.f64 (/.f64 t -2) (sqrt.f64 1/2))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 l (*.f64 (/.f64 (sqrt.f64 1/2) t) -4))) (*.f64 2 (*.f64 l (*.f64 (/.f64 (sqrt.f64 1/2) t) -4)))) 16) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 l 1/2) (/.f64 (*.f64 t -2) (sqrt.f64 1/2))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 (neg.f64 l) 1/2) (/.f64 (+.f64 t t) (sqrt.f64 1/2))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 (neg.f64 l) -1) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 (neg.f64 l) 2) (/.f64 t (*.f64 (sqrt.f64 1/2) 2))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 (neg.f64 l) (neg.f64 t)) (/.f64 -1 (sqrt.f64 1/2))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 (neg.f64 l) (/.f64 1 (sqrt.f64 1/2))) t) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (neg.f64 (neg.f64 l)) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) | |
| ✓ | 0.2b | (/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
| ✓ | 0.4b | (*.f64 (sqrt.f64 1/2) l) |
| 17.0b | (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
Compiled 112 to 85 computations (24.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | l | @ | -inf | (*.f64 (sqrt.f64 1/2) l) |
| 0.0ms | l | @ | inf | (*.f64 (sqrt.f64 1/2) l) |
| 0.0ms | t | @ | inf | (/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
| 0.0ms | l | @ | 0 | (*.f64 (sqrt.f64 1/2) l) |
| 0.0ms | t | @ | -inf | (/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
| 1× | batch-egg-rewrite |
| 1526× | bool.json-1 |
| 1526× | bool.json-2 |
| 1494× | rational.json-1 |
| 1494× | rational.json-2 |
| 1494× | rational.json-4 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 92 | 28 |
| 2 | 282 | 28 |
| 3 | 721 | 28 |
| 4 | 2115 | 28 |
| 5 | 5291 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 1/2) l) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) l) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (sqrt.f64 1/2) (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 1/2) l) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 1/2) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 l 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/2) l) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 l 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 1/2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 1/2) l) (*.f64 (sqrt.f64 1/2) l))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 1/2) l) (*.f64 (sqrt.f64 1/2) l)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) (+.f64 t t)) (/.f64 (*.f64 (sqrt.f64 1/2) l) (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 1/2) (*.f64 l (/.f64 2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 l t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 (sqrt.f64 1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) l) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) (/.f64 1/2 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) (*.f64 1/2 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) t) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) l) (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 t) (*.f64 (sqrt.f64 1/2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 l (/.f64 1/2 t)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 1/2 l) (/.f64 (sqrt.f64 1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 l (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 1 t) (*.f64 1/2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (/.f64 2 t))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l 4)) (/.f64 1 (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 (/.f64 1 t) (*.f64 1/2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (*.f64 (sqrt.f64 1/2) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l t) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (*.f64 1/2 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (/.f64 2 t)) (*.f64 1/2 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (/.f64 1/2 t)) (*.f64 (sqrt.f64 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 t) (*.f64 (sqrt.f64 1/2) (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 1/2)) (*.f64 l (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 l) (*.f64 (sqrt.f64 1/2) (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1 t)) (*.f64 (sqrt.f64 1/2) (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) (*.f64 1/2 l)) (*.f64 (sqrt.f64 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) (*.f64 1/2 (sqrt.f64 1/2))) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) (+.f64 t t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 t 4)) (*.f64 (sqrt.f64 1/2) (*.f64 l 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 t) (*.f64 (sqrt.f64 1/2) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) t))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 1/2) (/.f64 l t))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (*.f64 (sqrt.f64 1/2) (/.f64 l t))))))) |
| 1× | egg-herbie |
| 1232× | rational.json-simplify-1 |
| 996× | rational.json-simplify-2 |
| 874× | rational.json-simplify-51 |
| 776× | rational.json-simplify-44 |
| 678× | rational.json-simplify-41 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 925 |
| 1 | 262 | 925 |
| 2 | 605 | 925 |
| 3 | 1433 | 925 |
| 4 | 4500 | 925 |
| 5 | 5998 | 925 |
| 6 | 6972 | 925 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (sqrt.f64 1/2) l) 0) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) l)) |
(+.f64 -1 (-.f64 1 (*.f64 (sqrt.f64 1/2) (neg.f64 l)))) |
(-.f64 (*.f64 (sqrt.f64 1/2) l) 0) |
(-.f64 0 (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) 1) |
(/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) 2) |
(/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l 4)) 4) |
(/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) -1) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 l 4))) 8) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) l) -2) -2) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 l 4)))) 16) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(+.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) (+.f64 t t)) (/.f64 (*.f64 (sqrt.f64 1/2) l) (+.f64 t t))) |
(-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0) |
(*.f64 1/2 (*.f64 (sqrt.f64 1/2) (*.f64 l (/.f64 2 t)))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) l) (/.f64 1 t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1) |
(*.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) (/.f64 1/2 t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) (*.f64 1/2 (/.f64 1 t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) l) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) l) (+.f64 t t))) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2)) |
(*.f64 2 (*.f64 (/.f64 1/2 t) (*.f64 (sqrt.f64 1/2) l))) |
(*.f64 2 (*.f64 (*.f64 l (/.f64 1/2 t)) (sqrt.f64 1/2))) |
(*.f64 2 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) l)) |
(*.f64 2 (*.f64 (*.f64 1/2 l) (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 l (/.f64 1/2 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 1 t) (*.f64 1/2 l))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (/.f64 2 t))) 1/2) |
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l 4)) (/.f64 1 (*.f64 t 4))) |
(*.f64 (+.f64 l l) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t))) |
(*.f64 (+.f64 l l) (*.f64 (/.f64 1 t) (*.f64 1/2 (sqrt.f64 1/2)))) |
(*.f64 (+.f64 l l) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 1 t) (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (/.f64 l t) (sqrt.f64 1/2)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) (/.f64 -1 t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (*.f64 1/2 l)) |
(*.f64 (*.f64 l (/.f64 2 t)) (*.f64 1/2 (sqrt.f64 1/2))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) (+.f64 l l)) |
(*.f64 (*.f64 l (/.f64 1/2 t)) (*.f64 (sqrt.f64 1/2) 2)) |
(*.f64 (/.f64 1/2 t) (*.f64 (sqrt.f64 1/2) (+.f64 l l))) |
(*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (*.f64 l (/.f64 2 t))) |
(*.f64 (*.f64 1/2 l) (*.f64 (sqrt.f64 1/2) (/.f64 2 t))) |
(*.f64 (*.f64 1/2 (/.f64 1 t)) (*.f64 (sqrt.f64 1/2) (+.f64 l l))) |
(*.f64 (*.f64 (/.f64 1 t) (*.f64 1/2 l)) (*.f64 (sqrt.f64 1/2) 2)) |
(*.f64 (*.f64 (/.f64 1 t) (*.f64 1/2 (sqrt.f64 1/2))) (+.f64 l l)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) t) -1) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) (+.f64 t t)) 2) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2) 2) |
(*.f64 (/.f64 1 (*.f64 t 4)) (*.f64 (sqrt.f64 1/2) (*.f64 l 4))) |
(*.f64 (/.f64 -1 t) (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) t)) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 1/2) l) 0) |
(*.f64 (sqrt.f64 1/2) l) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (sqrt.f64 1/2) l) |
(+.f64 -1 (-.f64 1 (*.f64 (sqrt.f64 1/2) (neg.f64 l)))) |
(*.f64 (sqrt.f64 1/2) l) |
(-.f64 (*.f64 (sqrt.f64 1/2) l) 0) |
(*.f64 (sqrt.f64 1/2) l) |
(-.f64 0 (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) l) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) 1) |
(*.f64 (sqrt.f64 1/2) l) |
(/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) 2) |
(*.f64 (sqrt.f64 1/2) l) |
(/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l 4)) 4) |
(*.f64 (sqrt.f64 1/2) l) |
(/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) -1) |
(*.f64 (sqrt.f64 1/2) l) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 l 4))) 8) |
(*.f64 (sqrt.f64 1/2) l) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) l) -2) -2) |
(*.f64 (sqrt.f64 1/2) l) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 l 4)))) 16) |
(*.f64 (sqrt.f64 1/2) l) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) l) |
(+.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) (+.f64 t t)) (/.f64 (*.f64 (sqrt.f64 1/2) l) (+.f64 t t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 1/2 (*.f64 (sqrt.f64 1/2) (*.f64 l (/.f64 2 t)))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) l) (/.f64 1 t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) (/.f64 1/2 t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) (*.f64 1/2 (/.f64 1 t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) l) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) l) (+.f64 t t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 2 (*.f64 (/.f64 1/2 t) (*.f64 (sqrt.f64 1/2) l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 2 (*.f64 (*.f64 l (/.f64 1/2 t)) (sqrt.f64 1/2))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 2 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 2 (*.f64 (*.f64 1/2 l) (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 l (/.f64 1/2 t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 1 t) (*.f64 1/2 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (/.f64 2 t))) 1/2) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l 4)) (/.f64 1 (*.f64 t 4))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (+.f64 l l) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (+.f64 l l) (*.f64 (/.f64 1 t) (*.f64 1/2 (sqrt.f64 1/2)))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (+.f64 l l) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 1 t) (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 l t) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) (/.f64 -1 t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (*.f64 1/2 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 l (/.f64 2 t)) (*.f64 1/2 (sqrt.f64 1/2))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) (+.f64 l l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 l (/.f64 1/2 t)) (*.f64 (sqrt.f64 1/2) 2)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 1/2 t) (*.f64 (sqrt.f64 1/2) (+.f64 l l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (*.f64 l (/.f64 2 t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 1/2 l) (*.f64 (sqrt.f64 1/2) (/.f64 2 t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 1/2 (/.f64 1 t)) (*.f64 (sqrt.f64 1/2) (+.f64 l l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (/.f64 1 t) (*.f64 1/2 l)) (*.f64 (sqrt.f64 1/2) 2)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (/.f64 1 t) (*.f64 1/2 (sqrt.f64 1/2))) (+.f64 l l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) t) -1) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) (+.f64 t t)) 2) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2) 2) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 1 (*.f64 t 4)) (*.f64 (sqrt.f64 1/2) (*.f64 l 4))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 -1 t) (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
Compiled 25648 to 20655 computations (19.5% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 916 | 16 | 932 |
| Fresh | 4 | 0 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 924 | 18 | 942 |
| Status | Error | Program |
|---|---|---|
| 42.6b | (asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) | |
| 38.4b | (asin.f64 (-.f64 1 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))) | |
| 37.8b | (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) | |
| ▶ | 41.7b | (asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
| ▶ | 45.4b | (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) t))) |
| 45.3b | (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 l)))) | |
| 45.4b | (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) (/.f64 1/2 l)))) | |
| 45.0b | (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2))))) | |
| 45.4b | (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (/.f64 1 (/.f64 (/.f64 t l) (sqrt.f64 1/2))))) | |
| 45.0b | (asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 l (neg.f64 (*.f64 (/.f64 1 t) (sqrt.f64 1/2)))))) | |
| 42.6b | (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) | |
| 41.7b | (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) | |
| ▶ | 42.6b | (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
| 41.7b | (asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) | |
| ✓ | 9.4b | (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| ✓ | 21.3b | (asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
| ▶ | 47.2b | (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
| ▶ | 33.6b | (asin.f64 1) |
Compiled 576 to 486 computations (15.6% saved)
Compiled 7 to 7 computations (0% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
| ✓ | 0.2b | (*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
| 0.5b | (/.f64 (sqrt.f64 1/2) t) |
Compiled 26 to 19 computations (26.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | l | @ | -inf | (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
| 0.0ms | l | @ | 0 | (*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
| 0.0ms | t | @ | -inf | (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
| 0.0ms | l | @ | 0 | (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
| 0.0ms | l | @ | inf | (*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
| 1× | batch-egg-rewrite |
| 1544× | rational.json-simplify-50 |
| 700× | rational.json-simplify-44 |
| 670× | rational.json-simplify-49 |
| 664× | rational.json-simplify-35 |
| 642× | rational.json-simplify-47 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 1 | 99 | 38 |
| 2 | 278 | 38 |
| 3 | 634 | 38 |
| 4 | 1589 | 38 |
| 5 | 5994 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (/.f64 2 l))) (/.f64 (sqrt.f64 1/2) (*.f64 t (/.f64 2 l))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 t (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (*.f64 t (/.f64 1/2 (sqrt.f64 1/2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 t (sqrt.f64 1/2)) (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 l t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (/.f64 t l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (*.f64 (/.f64 t l) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (*.f64 -1 (/.f64 t (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (-.f64 0 (/.f64 t (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 (/.f64 1 l) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 1/2 (/.f64 2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (*.f64 l (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 t (*.f64 l (sqrt.f64 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 t (/.f64 2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 t (/.f64 2 l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 -2 (/.f64 t (neg.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) (*.f64 1/2 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x or (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))))))) |
| 1× | egg-herbie |
| 1900× | rational.json-simplify-35 |
| 1034× | rational.json-simplify-51 |
| 1030× | rational.json-simplify-44 |
| 954× | rational.json-simplify-50 |
| 886× | rational.json-simplify-47 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 451 | 4959 |
| 1 | 1814 | 4907 |
| 2 | 6497 | 4907 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(+.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) 0) |
(+.f64 0 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (/.f64 2 l))) (/.f64 (sqrt.f64 1/2) (*.f64 t (/.f64 2 l)))) |
(-.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) 0) |
(/.f64 l (/.f64 t (sqrt.f64 1/2))) |
(/.f64 1/2 (/.f64 (*.f64 t (/.f64 1/2 (sqrt.f64 1/2))) l)) |
(/.f64 1/2 (/.f64 (/.f64 t (sqrt.f64 1/2)) (+.f64 l l))) |
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 1/2)) (/.f64 l t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t l)) |
(/.f64 (sqrt.f64 1/2) (*.f64 (/.f64 t l) 1)) |
(/.f64 (sqrt.f64 1/2) (*.f64 -1 (/.f64 t (neg.f64 l)))) |
(/.f64 (sqrt.f64 1/2) (-.f64 0 (/.f64 t (neg.f64 l)))) |
(/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 l)) |
(/.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 (/.f64 1 l) 1)) |
(/.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 1/2 (/.f64 2 l))) |
(/.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)) 1) |
(/.f64 1 (/.f64 t (*.f64 l (sqrt.f64 1/2)))) |
(/.f64 1 (*.f64 (/.f64 t (*.f64 l (sqrt.f64 1/2))) 1)) |
(/.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 t (/.f64 2 l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 t (/.f64 2 l)) 1)) |
(/.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 -2 (/.f64 t (neg.f64 l)))) |
(/.f64 2 (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 t l))) |
(/.f64 2 (*.f64 2 (/.f64 t (*.f64 l (sqrt.f64 1/2))))) |
(/.f64 2 (*.f64 (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 t l)) 1)) |
(/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 1/2 t)) (/.f64 2 l)) |
(/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 1/2 t)) (*.f64 2 (/.f64 1 l))) |
(/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 1/2 t)) (*.f64 (/.f64 2 l) 1)) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 (*.f64 t 4) l)) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 4 (/.f64 t l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 (*.f64 t 4) (/.f64 1 l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 2 (*.f64 t (/.f64 2 l)))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 (+.f64 t t) (/.f64 2 l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 -4 (/.f64 t (neg.f64 l)))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 4 (/.f64 l t))) |
(/.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) (*.f64 1/2 t))) 2) |
(/.f64 (+.f64 l l) (*.f64 t (/.f64 2 (sqrt.f64 1/2)))) |
(/.f64 (/.f64 1 t) (/.f64 (/.f64 1 (sqrt.f64 1/2)) l)) |
(/.f64 (/.f64 1 t) (*.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 1 l))) |
(/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 t (neg.f64 l))) |
(/.f64 (neg.f64 (sqrt.f64 1/2)) (*.f64 (/.f64 t (neg.f64 l)) 1)) |
(/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 (+.f64 t t) (neg.f64 (+.f64 l l)))) |
(/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 -1 (/.f64 l t))) |
(/.f64 (neg.f64 (sqrt.f64 1/2)) (-.f64 0 (/.f64 t l))) |
(/.f64 (/.f64 t (sqrt.f64 1/2)) (*.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2))) (/.f64 1 l))) |
(/.f64 -1 (/.f64 (/.f64 t (neg.f64 (sqrt.f64 1/2))) l)) |
(/.f64 -1 (*.f64 (/.f64 t (neg.f64 (sqrt.f64 1/2))) (/.f64 1 l))) |
(/.f64 -1 (-.f64 0 (/.f64 t (*.f64 l (sqrt.f64 1/2))))) |
(/.f64 (*.f64 t (/.f64 2 (sqrt.f64 1/2))) (*.f64 (*.f64 2 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2)))) (/.f64 1 l))) |
(/.f64 (*.f64 t (/.f64 2 (sqrt.f64 1/2))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2))) (/.f64 2 l))) |
(/.f64 4 (*.f64 2 (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 t l)))) |
(/.f64 4 (/.f64 (/.f64 (*.f64 t 4) (sqrt.f64 1/2)) l)) |
(/.f64 4 (*.f64 (/.f64 (*.f64 t 4) (sqrt.f64 1/2)) (/.f64 1 l))) |
(/.f64 4 (*.f64 (*.f64 t (/.f64 2 (sqrt.f64 1/2))) (/.f64 2 l))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 l 4)) 4) |
(/.f64 (*.f64 l 4) (/.f64 (*.f64 t 4) (sqrt.f64 1/2))) |
(/.f64 (*.f64 l 4) (*.f64 (/.f64 (*.f64 t 4) (sqrt.f64 1/2)) 1)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) 4) (/.f64 4 l)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) 4) (*.f64 4 (/.f64 1 l))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) 4) (*.f64 2 (/.f64 2 l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 8) (/.f64 (*.f64 t 8) l)) |
(/.f64 (*.f64 (sqrt.f64 1/2) 8) (*.f64 8 (/.f64 t l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 8) (*.f64 (*.f64 t 8) (/.f64 1 l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 8) (*.f64 4 (*.f64 t (/.f64 2 l)))) |
(/.f64 (/.f64 l t) (/.f64 1 (sqrt.f64 1/2))) |
(/.f64 (/.f64 1/2 t) (/.f64 (/.f64 1/2 (sqrt.f64 1/2)) l)) |
(/.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 (*.f64 t -2) l)) |
(/.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 (+.f64 t t) (neg.f64 l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) -2) (*.f64 (*.f64 t -2) (/.f64 1 l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) -2) (*.f64 (neg.f64 (+.f64 t t)) (/.f64 1 l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) -2) (*.f64 (neg.f64 t) (/.f64 2 l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) -2) (*.f64 2 (/.f64 t (neg.f64 l)))) |
(/.f64 (*.f64 (sqrt.f64 1/2) -2) (-.f64 0 (*.f64 t (/.f64 2 l)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (sqrt.f64 1/2) t)) (/.f64 (/.f64 (sqrt.f64 1/2) t) l)) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (sqrt.f64 1/2) t) 4)) (*.f64 8 (/.f64 1 l))) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) 8)) (*.f64 (*.f64 2 (*.f64 t 8)) (/.f64 1 l))) |
(/.f64 -2 (-.f64 0 (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 t l)))) |
(/.f64 (*.f64 2 (*.f64 l 4)) (*.f64 2 (/.f64 (*.f64 t 4) (sqrt.f64 1/2)))) |
(/.f64 (*.f64 2 (*.f64 l 4)) (*.f64 8 (/.f64 t (sqrt.f64 1/2)))) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 l 4))) 8) |
(/.f64 (*.f64 2 (/.f64 l t)) (*.f64 2 (/.f64 1 (sqrt.f64 1/2)))) |
(/.f64 (*.f64 l (/.f64 1/2 t)) (/.f64 1/2 (sqrt.f64 1/2))) |
(/.f64 (/.f64 (*.f64 t 4) (sqrt.f64 1/2)) (*.f64 (*.f64 2 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2)))) (/.f64 2 l))) |
(/.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 -1 l)) |
(/.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (*.f64 -1 (/.f64 1 l))) |
(/.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (-.f64 0 (/.f64 1 l))) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t))) (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 t l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) (/.f64 1 (+.f64 l l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) (*.f64 1/2 (/.f64 1 l))) |
(/.f64 (*.f64 l 1/2) (*.f64 t (/.f64 1/2 (sqrt.f64 1/2)))) |
(/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (/.f64 2 l))) 1/2) |
(/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 2 (*.f64 t -2)) (/.f64 1 l))) |
(/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 2 (neg.f64 (+.f64 t t))) (/.f64 1 l))) |
(/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (*.f64 (neg.f64 (*.f64 t 4)) (/.f64 1 l))) |
(/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (*.f64 4 (/.f64 t (neg.f64 l)))) |
(/.f64 (neg.f64 l) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 l) (*.f64 (/.f64 t (neg.f64 (sqrt.f64 1/2))) 1)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 l 4)))) 16) |
(/.f64 (*.f64 2 (neg.f64 l)) (*.f64 2 (/.f64 t (neg.f64 (sqrt.f64 1/2))))) |
(/.f64 (/.f64 (*.f64 2 (*.f64 l 4)) (/.f64 t (sqrt.f64 1/2))) 8) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 8) (/.f64 t l)) 8) |
(/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) t) |
(/.f64 (/.f64 1 (/.f64 1 l)) (/.f64 t (sqrt.f64 1/2))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 1 l)) (+.f64 t t)) |
(/.f64 (/.f64 2 (/.f64 1 l)) (*.f64 t (/.f64 2 (sqrt.f64 1/2)))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 1 l)) (*.f64 t 4)) |
(/.f64 (/.f64 (/.f64 1 t) (/.f64 1 l)) (/.f64 1 (sqrt.f64 1/2))) |
(/.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 l)) (neg.f64 t)) |
(/.f64 (/.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 1 l)) (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2)))) |
(/.f64 (/.f64 -1 (/.f64 1 l)) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(/.f64 (/.f64 (*.f64 t (/.f64 2 (sqrt.f64 1/2))) (/.f64 1 l)) (*.f64 2 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2))))) |
(/.f64 (/.f64 4 (/.f64 1 l)) (/.f64 (*.f64 t 4) (sqrt.f64 1/2))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 8) (/.f64 1 l)) (*.f64 t 8)) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 1 l)) (*.f64 t -2)) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 1 l)) (neg.f64 (+.f64 t t))) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 (sqrt.f64 1/2) t) 4)) (/.f64 1 l)) 8) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) 8)) (/.f64 1 l)) (*.f64 2 (*.f64 t 8))) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 1 l)) -1) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (/.f64 1 l)) (*.f64 2 (*.f64 t -2))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (/.f64 1 l)) (*.f64 2 (neg.f64 (+.f64 t t)))) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (/.f64 1 l)) (neg.f64 (*.f64 t 4))) |
(/.f64 (/.f64 1 (/.f64 2 l)) (*.f64 t (/.f64 1/2 (sqrt.f64 1/2)))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 2 l)) t) |
(/.f64 (/.f64 2 (/.f64 2 l)) (/.f64 t (sqrt.f64 1/2))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 2 l)) (+.f64 t t)) |
(/.f64 (/.f64 (*.f64 t (/.f64 2 (sqrt.f64 1/2))) (/.f64 2 l)) (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2)))) |
(/.f64 (/.f64 4 (/.f64 2 l)) (*.f64 t (/.f64 2 (sqrt.f64 1/2)))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 2 l)) (neg.f64 t)) |
(/.f64 (/.f64 (/.f64 (*.f64 t 4) (sqrt.f64 1/2)) (/.f64 2 l)) (*.f64 2 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2))))) |
(/.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t))) (/.f64 2 l)) (/.f64 t (sqrt.f64 1/2))) |
(/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) -1) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 t (neg.f64 l))) -2) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t (neg.f64 l))) -4) |
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (/.f64 t (neg.f64 l))) 4) |
(/.f64 (/.f64 l (/.f64 1 (sqrt.f64 1/2))) t) |
(/.f64 (/.f64 (+.f64 l l) t) (/.f64 2 (sqrt.f64 1/2))) |
(/.f64 (/.f64 l 1/2) (*.f64 t (/.f64 2 (sqrt.f64 1/2)))) |
(/.f64 (/.f64 l (neg.f64 t)) (/.f64 -1 (sqrt.f64 1/2))) |
(/.f64 (neg.f64 (+.f64 l l)) (neg.f64 (*.f64 t (/.f64 2 (sqrt.f64 1/2))))) |
(/.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 1/2 t))) (-.f64 0 (/.f64 2 l))) |
(/.f64 (neg.f64 (/.f64 l t)) (/.f64 -1 (sqrt.f64 1/2))) |
(/.f64 (neg.f64 (neg.f64 l)) (/.f64 t (sqrt.f64 1/2))) |
(/.f64 (neg.f64 (*.f64 l 4)) (-.f64 0 (/.f64 (*.f64 t 4) (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)))) (-.f64 0 (*.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 t l)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 l l) t)) (-.f64 0 (/.f64 2 (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 l l))) (*.f64 t (/.f64 2 (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (*.f64 l (/.f64 1/2 t))) (neg.f64 (/.f64 1/2 (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (*.f64 l 1/2)) (-.f64 0 (*.f64 t (/.f64 1/2 (sqrt.f64 1/2))))) |
(/.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 1 l))) (neg.f64 t)) |
(/.f64 (neg.f64 (/.f64 1 (/.f64 1 l))) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 1 l))) (neg.f64 (+.f64 t t))) |
(/.f64 (neg.f64 (/.f64 2 (/.f64 1 l))) (neg.f64 (*.f64 t (/.f64 2 (sqrt.f64 1/2))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 1 l))) (neg.f64 (*.f64 t 4))) |
(/.f64 (neg.f64 (/.f64 (/.f64 1 t) (/.f64 1 l))) (/.f64 -1 (sqrt.f64 1/2))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 l))) t) |
(/.f64 (neg.f64 (/.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 1 l))) (neg.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2))))) |
(/.f64 (neg.f64 (/.f64 -1 (/.f64 1 l))) (/.f64 t (sqrt.f64 1/2))) |
(/.f64 (neg.f64 (/.f64 (*.f64 t (/.f64 2 (sqrt.f64 1/2))) (/.f64 1 l))) (-.f64 0 (*.f64 2 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2)))))) |
(/.f64 (neg.f64 (/.f64 4 (/.f64 1 l))) (-.f64 0 (/.f64 (*.f64 t 4) (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 8) (/.f64 1 l))) (neg.f64 (*.f64 t 8))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 1 l))) (+.f64 t t)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 1 l))) (neg.f64 (*.f64 t -2))) |
(/.f64 (neg.f64 (/.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) 8)) (/.f64 1 l))) (-.f64 0 (*.f64 2 (*.f64 t 8)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (/.f64 1 l))) (*.f64 t 4)) |
(/.f64 (neg.f64 (/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (/.f64 1 l))) (-.f64 0 (*.f64 2 (neg.f64 (+.f64 t t))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (/.f64 1 l))) (-.f64 0 (neg.f64 (*.f64 t 4)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (/.f64 1 l))) (-.f64 0 (*.f64 2 (*.f64 t -2)))) |
(/.f64 (neg.f64 (/.f64 1 (/.f64 2 l))) (-.f64 0 (*.f64 t (/.f64 1/2 (sqrt.f64 1/2))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 2 l))) (neg.f64 t)) |
(/.f64 (neg.f64 (/.f64 2 (/.f64 2 l))) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 2 l))) (neg.f64 (+.f64 t t))) |
(/.f64 (neg.f64 (/.f64 (*.f64 t (/.f64 2 (sqrt.f64 1/2))) (/.f64 2 l))) (neg.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2))))) |
(/.f64 (neg.f64 (/.f64 4 (/.f64 2 l))) (neg.f64 (*.f64 t (/.f64 2 (sqrt.f64 1/2))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 2 l))) t) |
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 t 4) (sqrt.f64 1/2)) (/.f64 2 l))) (-.f64 0 (*.f64 2 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2)))))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t))) (/.f64 2 l))) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (/.f64 l (/.f64 1 (sqrt.f64 1/2)))) (neg.f64 t)) |
(/.f64 (neg.f64 (/.f64 l 1/2)) (neg.f64 (*.f64 t (/.f64 2 (sqrt.f64 1/2))))) |
(/.f64 (neg.f64 (/.f64 l (neg.f64 t))) (-.f64 0 (/.f64 -1 (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 l t))) (/.f64 1 (sqrt.f64 1/2))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 l))) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 1 l))) |
(neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(+.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 0) |
(+.f64 0 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(+.f64 (*.f64 1/2 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) (*.f64 1/2 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))))) |
(-.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 0) |
(*.f64 1/2 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 2)) |
(*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 1) |
(*.f64 1 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(*.f64 2 (*.f64 1/2 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))))) |
(*.f64 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 2) 1/2) |
(*.f64 4 (/.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 4)) |
(*.f64 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 4) 1/4) |
(*.f64 (*.f64 1/2 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) 2) |
(/.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 1) |
(/.f64 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 2) 2) |
(/.f64 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 4)) 8) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 4))) 16) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
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(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
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(/.f64 (*.f64 (/.f64 l (/.f64 1 t)) (/.f64 1 (sqrt.f64 1/2))) (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2)))) |
(/.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (+.f64 l l)) (*.f64 2 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2))))) |
(/.f64 (neg.f64 (/.f64 4 (/.f64 1 l))) (-.f64 0 (/.f64 (*.f64 t 4) (sqrt.f64 1/2)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 8) (/.f64 1 l))) (neg.f64 (*.f64 t 8))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 1 l))) (+.f64 t t)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 1 l))) (neg.f64 (*.f64 t -2))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) 8)) (/.f64 1 l))) (-.f64 0 (*.f64 2 (*.f64 t 8)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (/.f64 1 l))) (*.f64 t 4)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (/.f64 1 l))) (-.f64 0 (*.f64 2 (neg.f64 (+.f64 t t))))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (/.f64 1 l))) (-.f64 0 (neg.f64 (*.f64 t 4)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 (*.f64 4 (neg.f64 (sqrt.f64 1/2))) (/.f64 1 l))) (-.f64 0 (*.f64 2 (*.f64 t -2)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 1 (/.f64 2 l))) (-.f64 0 (*.f64 t (/.f64 1/2 (sqrt.f64 1/2))))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 2 l))) (neg.f64 t)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 2 (/.f64 2 l))) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 2 l))) (neg.f64 (+.f64 t t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 (*.f64 t (/.f64 2 (sqrt.f64 1/2))) (/.f64 2 l))) (neg.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2))))) |
(/.f64 (neg.f64 (/.f64 t (*.f64 (sqrt.f64 1/2) (/.f64 1 l)))) (neg.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2))))) |
(/.f64 (/.f64 (neg.f64 l) (/.f64 (sqrt.f64 1/2) t)) (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (neg.f64 (sqrt.f64 1/2))))) |
(/.f64 (/.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (neg.f64 (sqrt.f64 1/2))))) |
(/.f64 (neg.f64 (/.f64 4 (/.f64 2 l))) (neg.f64 (*.f64 t (/.f64 2 (sqrt.f64 1/2))))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 2 l))) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 t 4) (sqrt.f64 1/2)) (/.f64 2 l))) (-.f64 0 (*.f64 2 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2)))))) |
(/.f64 (*.f64 t (/.f64 2 (sqrt.f64 1/2))) (*.f64 (/.f64 1 l) (*.f64 2 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2)))))) |
(/.f64 (*.f64 (/.f64 l (/.f64 1 t)) (/.f64 1 (sqrt.f64 1/2))) (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2)))) |
(/.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (+.f64 l l)) (*.f64 2 (*.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2))))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t))) (/.f64 2 l))) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (/.f64 2 l))) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)))) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 t (/.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (*.f64 (/.f64 2 l) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)))))) |
(neg.f64 (/.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 2 l)) t) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t))) (/.f64 t (neg.f64 (sqrt.f64 1/2))))) |
(/.f64 (neg.f64 (/.f64 l (/.f64 1 (sqrt.f64 1/2)))) (neg.f64 t)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 l 1/2)) (neg.f64 (*.f64 t (/.f64 2 (sqrt.f64 1/2))))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (/.f64 l (neg.f64 t))) (-.f64 0 (/.f64 -1 (sqrt.f64 1/2)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 l t))) (/.f64 1 (sqrt.f64 1/2))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 l))) (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 1 l))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(neg.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(+.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 0) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(+.f64 0 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(+.f64 (*.f64 1/2 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) (*.f64 1/2 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(-.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 0) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 1/2 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 2)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 1) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 1 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 2 (*.f64 1/2 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 2) 1/2) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 4 (/.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 4)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 4) 1/4) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (*.f64 1/2 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) 2) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(/.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 1) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(/.f64 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 2) 2) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(/.f64 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 4) 4) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 4)) 8) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) 4))) 16) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
| ✓ | 0.2b | (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
| 0.5b | (/.f64 (sqrt.f64 1/2) t) |
Compiled 30 to 20 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
| 0.0ms | t | @ | -inf | (asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
| 0.0ms | t | @ | inf | (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
| 0.0ms | t | @ | inf | (asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
| 0.0ms | l | @ | inf | (asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
| 1× | batch-egg-rewrite |
| 1430× | rational.json-simplify-50 |
| 844× | rational.json-simplify-61 |
| 758× | rational.json-simplify-35 |
| 718× | rational.json-simplify-1 |
| 666× | bool.json-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 46 |
| 1 | 112 | 46 |
| 2 | 320 | 46 |
| 3 | 746 | 46 |
| 4 | 1907 | 46 |
| 5 | 6119 | 46 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) 2) (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 t (sqrt.f64 1/2)) (*.f64 l -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 (/.f64 t 2) (sqrt.f64 1/2)) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 1/2)) (neg.f64 (/.f64 l t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 t) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (-.f64 0 (/.f64 t l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (neg.f64 (/.f64 t (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 l) (-.f64 0 (neg.f64 (/.f64 t (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (neg.f64 t) (sqrt.f64 1/2)) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (sqrt.f64 1/2)) (neg.f64 (/.f64 l t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 t (sqrt.f64 1/2)) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 (/.f64 (neg.f64 t) (sqrt.f64 1/2)) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 t (/.f64 l -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 2 (/.f64 (neg.f64 t) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 -2 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 (/.f64 (neg.f64 t) (sqrt.f64 1/2)) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (*.f64 t 4) (sqrt.f64 1/2)) (*.f64 l -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 l l) (*.f64 -2 (/.f64 t (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 l l) (*.f64 2 (neg.f64 (/.f64 t (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 -2 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l -2) (/.f64 (+.f64 t t) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l -2) (-.f64 0 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| 1× | egg-herbie |
| 1082× | rational.json-simplify-35 |
| 998× | rational.json-simplify-50 |
| 984× | rational.json-simplify-53 |
| 970× | rational.json-simplify-2 |
| 658× | rational.json-simplify-43 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 3881 |
| 1 | 1058 | 3573 |
| 2 | 3443 | 3567 |
| 3 | 5394 | 3567 |
| 4 | 7750 | 3567 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
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(+.f64 -1 (-.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) 2) (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) 2)) |
(-.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) 0) |
(-.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(/.f64 1/2 (/.f64 (/.f64 t (sqrt.f64 1/2)) (*.f64 l -2))) |
(/.f64 1/2 (/.f64 (/.f64 (/.f64 t 2) (sqrt.f64 1/2)) (neg.f64 l))) |
(/.f64 1/2 (/.f64 (/.f64 1/2 (sqrt.f64 1/2)) (neg.f64 (/.f64 l t)))) |
(/.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 t) l)) |
(/.f64 (sqrt.f64 1/2) (-.f64 0 (/.f64 t l))) |
(/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l)) |
(/.f64 l (neg.f64 (/.f64 t (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2))) |
(/.f64 (neg.f64 l) (-.f64 0 (neg.f64 (/.f64 t (sqrt.f64 1/2))))) |
(/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) 1) |
(/.f64 1 (/.f64 (/.f64 (neg.f64 t) (sqrt.f64 1/2)) l)) |
(/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 1/2)) (neg.f64 (/.f64 l t)))) |
(/.f64 -1 (/.f64 (/.f64 t (sqrt.f64 1/2)) l)) |
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(/.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 t (/.f64 l -2))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 2 (/.f64 (neg.f64 t) l))) |
(/.f64 2 (/.f64 -2 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(/.f64 2 (*.f64 2 (/.f64 (/.f64 (neg.f64 t) (sqrt.f64 1/2)) l))) |
(/.f64 2 (/.f64 (/.f64 (*.f64 t 4) (sqrt.f64 1/2)) (*.f64 l -2))) |
(/.f64 (+.f64 l l) (*.f64 -2 (/.f64 t (sqrt.f64 1/2)))) |
(/.f64 (+.f64 l l) (*.f64 2 (neg.f64 (/.f64 t (sqrt.f64 1/2))))) |
(/.f64 -2 (-.f64 0 (/.f64 -2 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))) |
(/.f64 (*.f64 l -2) (/.f64 (+.f64 t t) (sqrt.f64 1/2))) |
(/.f64 (*.f64 l -2) (-.f64 0 (*.f64 -2 (/.f64 t (sqrt.f64 1/2))))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 l -2)) 2) |
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (/.f64 -2 l)) |
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (*.f64 2 (/.f64 -1 l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 2 (/.f64 t (/.f64 l -2)))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 (*.f64 t 4) (neg.f64 l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 4 (neg.f64 (/.f64 l t)))) |
(/.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 1 l)) |
(/.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (-.f64 0 (/.f64 -1 l))) |
(/.f64 (/.f64 1 t) (/.f64 (/.f64 -1 (sqrt.f64 1/2)) l)) |
(/.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 t l)) |
(/.f64 (neg.f64 (sqrt.f64 1/2)) (-.f64 0 (/.f64 (neg.f64 t) l))) |
(/.f64 4 (*.f64 2 (/.f64 -2 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))) |
(/.f64 4 (/.f64 (*.f64 2 (/.f64 (+.f64 t t) (sqrt.f64 1/2))) (neg.f64 l))) |
(/.f64 4 (/.f64 (/.f64 (*.f64 t 4) (sqrt.f64 1/2)) (neg.f64 l))) |
(/.f64 (*.f64 l 4) (*.f64 (/.f64 t (sqrt.f64 1/2)) -4)) |
(/.f64 (*.f64 l 4) (*.f64 2 (*.f64 -2 (/.f64 t (sqrt.f64 1/2))))) |
(/.f64 (*.f64 l -4) (*.f64 2 (/.f64 (+.f64 t t) (sqrt.f64 1/2)))) |
(/.f64 (*.f64 l -4) (*.f64 (/.f64 t (sqrt.f64 1/2)) 4)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 l -4)) 4) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) 4) (*.f64 2 (/.f64 -2 l))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) 4) (/.f64 -4 l)) |
(/.f64 (*.f64 (sqrt.f64 1/2) 8) (/.f64 (*.f64 t 8) (neg.f64 l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) -1) |
(/.f64 (neg.f64 (/.f64 l t)) (/.f64 1 (sqrt.f64 1/2))) |
(/.f64 (neg.f64 (/.f64 l t)) (-.f64 0 (/.f64 -1 (sqrt.f64 1/2)))) |
(/.f64 (/.f64 1/2 t) (/.f64 (/.f64 1/2 (sqrt.f64 1/2)) (neg.f64 l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) -2) (*.f64 2 (/.f64 t l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 (+.f64 t t) l)) |
(/.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 (*.f64 t -2) (neg.f64 l))) |
(/.f64 (*.f64 (sqrt.f64 1/2) -2) (-.f64 0 (/.f64 t (/.f64 l -2)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (sqrt.f64 1/2) t)) (/.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(/.f64 (*.f64 2 (*.f64 l 4)) (*.f64 2 (*.f64 (/.f64 t (sqrt.f64 1/2)) -4))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) -2) (-.f64 0 (/.f64 -2 l))) |
(/.f64 (*.f64 2 (*.f64 l -4)) (*.f64 2 (*.f64 (/.f64 t (sqrt.f64 1/2)) 4))) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 l -4))) 8) |
(/.f64 (/.f64 l t) (/.f64 -1 (sqrt.f64 1/2))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (+.f64 l l)) -2) |
(/.f64 (*.f64 2 (neg.f64 (/.f64 l t))) (*.f64 2 (/.f64 1 (sqrt.f64 1/2)))) |
(/.f64 (*.f64 l (neg.f64 (/.f64 1/2 t))) (/.f64 1/2 (sqrt.f64 1/2))) |
(/.f64 (neg.f64 (*.f64 l 4)) (-.f64 0 (*.f64 (/.f64 t (sqrt.f64 1/2)) -4))) |
(/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (+.f64 l l))) -2) |
(/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (*.f64 l 4))) -4) |
(/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (*.f64 l -4))) 4) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) 1/4) (/.f64 -4 l)) |
(/.f64 (/.f64 (sqrt.f64 1/2) (+.f64 t t)) (/.f64 1 (*.f64 l -2))) |
(/.f64 (/.f64 (neg.f64 l) 2) (/.f64 (/.f64 t 2) (sqrt.f64 1/2))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 l -4)))) 16) |
(/.f64 (*.f64 2 (/.f64 (sqrt.f64 1/2) (/.f64 t (+.f64 l l)))) -4) |
(/.f64 (*.f64 2 (/.f64 (sqrt.f64 1/2) (/.f64 t (*.f64 l 4)))) -8) |
(/.f64 (*.f64 2 (/.f64 (sqrt.f64 1/2) (/.f64 t (*.f64 l -4)))) 8) |
(/.f64 (/.f64 (neg.f64 l) 1/2) (/.f64 (+.f64 t t) (sqrt.f64 1/2))) |
(/.f64 (/.f64 l (/.f64 -1 (sqrt.f64 1/2))) t) |
(/.f64 (/.f64 (*.f64 l -2) t) (/.f64 2 (sqrt.f64 1/2))) |
(/.f64 (neg.f64 (*.f64 l -2)) (neg.f64 (/.f64 (+.f64 t t) (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 l t))) (/.f64 -1 (sqrt.f64 1/2))) |
(/.f64 (neg.f64 (*.f64 l -4)) (-.f64 0 (*.f64 2 (/.f64 (+.f64 t t) (sqrt.f64 1/2))))) |
(/.f64 (neg.f64 (*.f64 l -4)) (-.f64 0 (*.f64 (/.f64 t (sqrt.f64 1/2)) 4))) |
(/.f64 (neg.f64 (/.f64 (*.f64 l -2) t)) (-.f64 0 (/.f64 2 (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 l -2))) (/.f64 (+.f64 t t) (sqrt.f64 1/2))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 l) 2)) (-.f64 0 (/.f64 (/.f64 t 2) (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 l) 1/2)) (neg.f64 (/.f64 (+.f64 t t) (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (*.f64 l (neg.f64 (/.f64 1/2 t)))) (neg.f64 (/.f64 1/2 (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 (/.f64 l (/.f64 -1 (sqrt.f64 1/2)))) (neg.f64 t)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 l t)))) (/.f64 1 (sqrt.f64 1/2))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(+.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 0) |
(+.f64 0 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))))) |
(+.f64 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2) (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2)) |
(-.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 0) |
(*.f64 1/2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2)) |
(*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 1) |
(*.f64 1 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))))) |
(*.f64 2 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2)) |
(*.f64 2 (*.f64 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2) 1)) |
(*.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2) 1/2) |
(*.f64 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2) 2) |
(/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 1) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2) 2) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 4)) 8) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 4))) 16) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
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(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 (+.f64 t t) l)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 (*.f64 t -2) (neg.f64 l))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 (sqrt.f64 1/2) -2) (-.f64 0 (/.f64 t (/.f64 l -2)))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (sqrt.f64 1/2) t)) (/.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 2 (*.f64 l 4)) (*.f64 2 (*.f64 (/.f64 t (sqrt.f64 1/2)) -4))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) -2) (-.f64 0 (/.f64 -2 l))) |
(*.f64 -2 (/.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 (/.f64 -2 l)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -2 (neg.f64 (/.f64 -2 l)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 2 (/.f64 -2 l))) |
(/.f64 (*.f64 2 (*.f64 l -4)) (*.f64 2 (*.f64 (/.f64 t (sqrt.f64 1/2)) 4))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 l -4))) 8) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 l t) (/.f64 -1 (sqrt.f64 1/2))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (+.f64 l l)) -2) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 2 (neg.f64 (/.f64 l t))) (*.f64 2 (/.f64 1 (sqrt.f64 1/2)))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 l (neg.f64 (/.f64 1/2 t))) (/.f64 1/2 (sqrt.f64 1/2))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 l 4)) (-.f64 0 (*.f64 (/.f64 t (sqrt.f64 1/2)) -4))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (+.f64 l l))) -2) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (*.f64 l 4))) -4) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (*.f64 l -4))) 4) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) 1/4) (/.f64 -4 l)) |
(/.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 1/4 (/.f64 -4 l))) |
(/.f64 (sqrt.f64 1/2) (*.f64 t (*.f64 (/.f64 -4 l) 1/4))) |
(/.f64 (/.f64 (sqrt.f64 1/2) (+.f64 t t)) (/.f64 1 (*.f64 l -2))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 (neg.f64 l) 2) (/.f64 (/.f64 t 2) (sqrt.f64 1/2))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 l -4)))) 16) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (*.f64 2 (/.f64 (sqrt.f64 1/2) (/.f64 t (+.f64 l l)))) -4) |
(*.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (+.f64 l l))) -1/2) |
(/.f64 (*.f64 2 (/.f64 (sqrt.f64 1/2) (/.f64 t (*.f64 l 4)))) -8) |
(*.f64 (/.f64 (*.f64 l 4) (/.f64 t (sqrt.f64 1/2))) -1/4) |
(*.f64 (*.f64 4 (/.f64 l (/.f64 t (sqrt.f64 1/2)))) -1/4) |
(*.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (/.f64 t 4) l)) -1/4) |
(/.f64 (*.f64 2 (/.f64 (sqrt.f64 1/2) (/.f64 t (*.f64 l -4)))) 8) |
(*.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (/.f64 t l) -4)) 1/4) |
(*.f64 (*.f64 -4 (/.f64 l (/.f64 t (sqrt.f64 1/2)))) 1/4) |
(/.f64 (/.f64 (neg.f64 l) 1/2) (/.f64 (+.f64 t t) (sqrt.f64 1/2))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 l (/.f64 -1 (sqrt.f64 1/2))) t) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (/.f64 (*.f64 l -2) t) (/.f64 2 (sqrt.f64 1/2))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 l -2)) (neg.f64 (/.f64 (+.f64 t t) (sqrt.f64 1/2)))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 l t))) (/.f64 -1 (sqrt.f64 1/2))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 l -4)) (-.f64 0 (*.f64 2 (/.f64 (+.f64 t t) (sqrt.f64 1/2))))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 l -4)) (-.f64 0 (*.f64 (/.f64 t (sqrt.f64 1/2)) 4))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (neg.f64 (/.f64 (*.f64 l -2) t)) (-.f64 0 (/.f64 2 (sqrt.f64 1/2)))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 l -2))) (/.f64 (+.f64 t t) (sqrt.f64 1/2))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 l) 2)) (-.f64 0 (/.f64 (/.f64 t 2) (sqrt.f64 1/2)))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 l) 1/2)) (neg.f64 (/.f64 (+.f64 t t) (sqrt.f64 1/2)))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 l (neg.f64 (/.f64 1/2 t)))) (neg.f64 (/.f64 1/2 (sqrt.f64 1/2)))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (neg.f64 (/.f64 l (/.f64 -1 (sqrt.f64 1/2)))) (neg.f64 t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 l t)))) (/.f64 1 (sqrt.f64 1/2))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(+.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 0) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(+.f64 0 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(+.f64 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2) (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2)) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(-.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 0) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(*.f64 1/2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2)) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 1) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(*.f64 1 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(*.f64 2 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2)) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(*.f64 2 (*.f64 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2) 1)) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(*.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2) 1/2) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(*.f64 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2) 2) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 1) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 2) 2) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 4) 4) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 4)) 8) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) 4))) 16) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
| ✓ | 15.1b | (/.f64 (pow.f64 l 2) (pow.f64 t 2)) |
| ✓ | 17.1b | (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) |
Compiled 51 to 39 computations (23.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | l | @ | inf | (/.f64 (pow.f64 l 2) (pow.f64 t 2)) |
| 0.0ms | l | @ | 0 | (/.f64 (pow.f64 l 2) (pow.f64 t 2)) |
| 0.0ms | t | @ | 0 | (/.f64 (pow.f64 l 2) (pow.f64 t 2)) |
| 0.0ms | t | @ | inf | (/.f64 (pow.f64 l 2) (pow.f64 t 2)) |
| 0.0ms | l | @ | 0 | (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) |
| 1× | batch-egg-rewrite |
| 1786× | bool.json-1 |
| 1786× | bool.json-2 |
| 1748× | rational.json-1 |
| 1446× | bool.json-3 |
| 692× | rational.json-simplify-35 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 81 |
| 1 | 126 | 81 |
| 2 | 331 | 81 |
| 3 | 718 | 81 |
| 4 | 1751 | 81 |
| 5 | 5283 | 81 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) |
(/.f64 (pow.f64 l 2) (pow.f64 t 2)) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 l 2) (pow.f64 t 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 l 2) (pow.f64 t 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 2 (pow.f64 l 2)) (pow.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l 2) (/.f64 1 (pow.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l 2) (+.f64 (/.f64 1/2 (pow.f64 t 2)) (/.f64 1/2 (pow.f64 t 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l 2) (*.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l 2) (*.f64 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#<rule egg-rr> (2) ((x not (not (/.f64 (pow.f64 l 2) (pow.f64 t 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (pow.f64 l 2) (pow.f64 t 2)) (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (pow.f64 l 2) (pow.f64 t 2)) (/.f64 (pow.f64 l 2) (pow.f64 t 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))))))) |
| 1× | egg-herbie |
| 1058× | rational.json-simplify-51 |
| 874× | rational.json-simplify-1 |
| 798× | rational.json-simplify-35 |
| 752× | rational.json-simplify-44 |
| 722× | rational.json-simplify-53 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 3796 |
| 1 | 417 | 3758 |
| 2 | 1024 | 3528 |
| 3 | 4089 | 3528 |
| 4 | 6882 | 3528 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(+.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 0) |
(+.f64 0 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
(-.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 0) |
(*.f64 1/2 (*.f64 2 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) |
(*.f64 2 (*.f64 1/2 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 1) |
(*.f64 1 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
(*.f64 (*.f64 2 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 1/2) |
(*.f64 4 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 4)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 4) 1/4) |
(*.f64 (*.f64 1/2 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 2) |
(/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 1) |
(/.f64 (*.f64 2 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 2) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 4))) 16) |
(+.f64 (/.f64 (pow.f64 l 2) (pow.f64 t 2)) 0) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) |
(+.f64 0 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) |
(-.f64 (/.f64 (pow.f64 l 2) (pow.f64 t 2)) 0) |
(*.f64 1/2 (/.f64 (*.f64 2 (pow.f64 l 2)) (pow.f64 t 2))) |
(*.f64 2 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) |
(*.f64 (pow.f64 l 2) (/.f64 1 (pow.f64 t 2))) |
(*.f64 (pow.f64 l 2) (+.f64 (/.f64 1/2 (pow.f64 t 2)) (/.f64 1/2 (pow.f64 t 2)))) |
(*.f64 (pow.f64 l 2) (*.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) 1/2)) |
(*.f64 (pow.f64 l 2) (*.f64 (/.f64 2 (pow.f64 t 2)) 1/2)) |
(*.f64 (pow.f64 t 2) (/.f64 (/.f64 1 (pow.f64 l 2)) (*.f64 (pow.f64 t 2) (/.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (pow.f64 l 2))))) |
(*.f64 (/.f64 (pow.f64 l 2) (pow.f64 t 2)) 1) |
(*.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) 2) |
(*.f64 1 (/.f64 (pow.f64 l 2) (pow.f64 t 2))) |
(*.f64 (*.f64 2 (pow.f64 l 2)) (/.f64 1/2 (pow.f64 t 2))) |
(*.f64 (*.f64 2 (pow.f64 l 2)) (*.f64 (*.f64 1/2 (/.f64 1/2 (pow.f64 t 2))) 2)) |
(*.f64 (/.f64 (*.f64 2 (pow.f64 l 2)) (pow.f64 t 2)) 1/2) |
(*.f64 (*.f64 (pow.f64 l 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 t 2)))) |
(*.f64 (*.f64 (pow.f64 l 2) 4) (/.f64 1/2 (*.f64 2 (pow.f64 t 2)))) |
(*.f64 (*.f64 (pow.f64 l 2) 4) (*.f64 (/.f64 1/2 (*.f64 2 (pow.f64 t 2))) 1)) |
(*.f64 (*.f64 (pow.f64 l 2) 4) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))) |
(*.f64 (/.f64 1 (pow.f64 t 2)) (pow.f64 l 2)) |
(*.f64 (/.f64 1 (pow.f64 t 2)) (/.f64 1 (/.f64 1 (pow.f64 l 2)))) |
(*.f64 (neg.f64 (pow.f64 l 2)) (/.f64 -1 (pow.f64 t 2))) |
(*.f64 (neg.f64 (pow.f64 l 2)) (*.f64 (/.f64 -1 (pow.f64 t 2)) 1)) |
(*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (/.f64 1 (*.f64 (pow.f64 t 2) (/.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (pow.f64 l 2))))) |
(*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (/.f64 2 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (*.f64 (pow.f64 t 2) (/.f64 2 (pow.f64 l 2)))))) |
(*.f64 -1 (/.f64 (neg.f64 (pow.f64 l 2)) (pow.f64 t 2))) |
(*.f64 -1 (*.f64 (/.f64 (neg.f64 (pow.f64 l 2)) (pow.f64 t 2)) 1)) |
(*.f64 -1 (/.f64 (*.f64 2 (pow.f64 l 2)) (neg.f64 (*.f64 2 (pow.f64 t 2))))) |
(*.f64 (*.f64 (pow.f64 t 2) (/.f64 2 (pow.f64 l 2))) (/.f64 1/2 (*.f64 (pow.f64 t 2) (/.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (pow.f64 l 2))))) |
(*.f64 (*.f64 (pow.f64 t 2) (/.f64 2 (pow.f64 l 2))) (/.f64 1 (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (*.f64 (pow.f64 t 2) (/.f64 2 (pow.f64 l 2)))))) |
(*.f64 4 (*.f64 (/.f64 (pow.f64 l 2) (pow.f64 t 2)) 1/4)) |
(*.f64 4 (/.f64 (pow.f64 l 2) (*.f64 (pow.f64 t 2) 4))) |
(*.f64 (/.f64 (*.f64 (pow.f64 l 2) 4) (pow.f64 t 2)) 1/4) |
(*.f64 (*.f64 (pow.f64 l 2) 8) (/.f64 1 (*.f64 (pow.f64 t 2) 8))) |
(*.f64 (/.f64 1 (pow.f64 l 2)) (/.f64 (pow.f64 t 2) (*.f64 (pow.f64 t 2) (/.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (pow.f64 l 2))))) |
(*.f64 (/.f64 1 (pow.f64 l 2)) (/.f64 (*.f64 2 (pow.f64 t 2)) (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (*.f64 (pow.f64 t 2) (/.f64 2 (pow.f64 l 2)))))) |
(*.f64 (/.f64 1/2 (pow.f64 t 2)) (*.f64 2 (pow.f64 l 2))) |
(*.f64 (/.f64 1/2 (pow.f64 t 2)) (/.f64 (pow.f64 l 2) 1/2)) |
(*.f64 (*.f64 (pow.f64 l 2) -2) (/.f64 1/2 (neg.f64 (pow.f64 t 2)))) |
(*.f64 (*.f64 (pow.f64 l 2) -2) (/.f64 1 (*.f64 (pow.f64 t 2) -2))) |
(*.f64 (*.f64 (pow.f64 l 2) -2) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 t 2))))) |
(*.f64 (*.f64 2 (/.f64 1 (pow.f64 t 2))) (*.f64 1/2 (pow.f64 l 2))) |
(*.f64 (*.f64 1/2 (/.f64 1/2 (pow.f64 t 2))) (/.f64 (*.f64 2 (pow.f64 l 2)) 1/2)) |
(*.f64 (/.f64 (neg.f64 (pow.f64 l 2)) (pow.f64 t 2)) -1) |
(*.f64 (*.f64 1/2 (pow.f64 l 2)) (/.f64 2 (pow.f64 t 2))) |
(*.f64 (*.f64 1/2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))) (/.f64 2 (*.f64 (pow.f64 t 2) (/.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (pow.f64 l 2))))) |
(*.f64 (/.f64 1/2 (pow.f64 l 2)) (/.f64 (*.f64 2 (pow.f64 t 2)) (*.f64 (pow.f64 t 2) (/.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (pow.f64 l 2))))) |
(*.f64 (/.f64 2 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 l 2))) |
(*.f64 (/.f64 -1 (pow.f64 l 2)) (/.f64 (neg.f64 (pow.f64 t 2)) (*.f64 (pow.f64 t 2) (/.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (pow.f64 l 2))))) |
(*.f64 1/4 (/.f64 (*.f64 (pow.f64 l 2) 4) (pow.f64 t 2))) |
(*.f64 (/.f64 1/2 (*.f64 2 (pow.f64 t 2))) (*.f64 (pow.f64 l 2) 4)) |
(*.f64 (/.f64 -1 (pow.f64 t 2)) (neg.f64 (pow.f64 l 2))) |
(*.f64 (/.f64 2 (pow.f64 l 2)) (/.f64 (pow.f64 t 2) (*.f64 (/.f64 (pow.f64 t 2) (pow.f64 l 2)) (*.f64 (pow.f64 t 2) (/.f64 2 (pow.f64 l 2)))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 l 2) (pow.f64 t 2)) 1/4) 4) |
(*.f64 (+.f64 (/.f64 1/2 (pow.f64 t 2)) (/.f64 1/2 (pow.f64 t 2))) (pow.f64 l 2)) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 l 2)) (pow.f64 t 2))) |
(+.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 0) |
(+.f64 0 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) |
(-.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 0) |
(*.f64 1/2 (*.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))))) |
(*.f64 2 (*.f64 1/2 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))))) |
(*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 1) |
(*.f64 1 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) |
(*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) 1/2) |
(*.f64 4 (/.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4)) |
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4) 1/4) |
(*.f64 (*.f64 1/2 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) 2) |
(/.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 1) |
(/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) 2) |
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4))) 16) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1)) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1)) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1)) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1)) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1)) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1)) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1)) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1)) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) |
(+.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 0) |
(sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) |
(+.f64 0 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
(sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) |
(-.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) 0) |
(sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))) |
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(*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 1) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
(*.f64 1 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
(*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) 1/2) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
(*.f64 4 (/.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4)) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4) 1/4) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
(*.f64 (*.f64 1/2 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) 2) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
(/.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 1) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
(/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2)))))) 2) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4) 4) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4)) 8) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4)) (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) 4))) 16) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) | |
| ✓ | 0.2b | (/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) t) |
| ✓ | 0.4b | (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) |
| 17.0b | (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
Compiled 101 to 77 computations (23.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | l | @ | 0 | (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) |
| 0.0ms | l | @ | -inf | (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) |
| 0.0ms | t | @ | inf | (/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) t) |
| 0.0ms | l | @ | inf | (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) |
| 0.0ms | l | @ | 0 | (/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) t) |
| 1× | batch-egg-rewrite |
| 1824× | bool.json-1 |
| 1824× | bool.json-2 |
| 1794× | rational.json-1 |
| 1552× | bool.json-3 |
| 740× | rational.json-simplify-35 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 126 | 34 |
| 2 | 451 | 28 |
| 3 | 1467 | 28 |
| 4 | 5453 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 1/2) (/.f64 1 l)) |
(/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) t) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) l) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) l))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 1/2) l) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 1/2) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 1/2) (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 1/2) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 l (/.f64 l (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 l 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 1/2 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 1/2) (/.f64 2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 l (/.f64 2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 1/2 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (/.f64 2 (/.f64 4 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l l) (/.f64 1 (/.f64 l (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l 4) (/.f64 1 (*.f64 2 (/.f64 2 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l 4) (/.f64 1 (/.f64 4 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 1 (*.f64 (/.f64 1 l) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sqrt.f64 1/2) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 l) (neg.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (/.f64 -1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l 2) (*.f64 (sqrt.f64 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 1/2)) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 1/2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 1/2) l) (*.f64 (sqrt.f64 1/2) l))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 1/2) l) (*.f64 (sqrt.f64 1/2) l)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 1/2) (*.f64 l (/.f64 2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 l t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 (sqrt.f64 1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 l (*.f64 l (/.f64 t (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) l) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 1/2 (/.f64 t l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 1/2 (/.f64 t l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 1/2 t) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 1/2 (/.f64 l t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 l 2) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) (/.f64 1/2 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) (*.f64 (/.f64 1/2 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) (*.f64 1/2 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) l) (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 1/2) (*.f64 2 (/.f64 t l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 l (*.f64 t (/.f64 2 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (/.f64 2 (/.f64 4 (/.f64 (sqrt.f64 1/2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) t) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l l) (/.f64 1 (*.f64 l (/.f64 t (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (/.f64 2 t))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l 4)) (/.f64 1 (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (/.f64 l 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l 4) (/.f64 1 (*.f64 2 (*.f64 t (/.f64 2 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l 4) (/.f64 1 (/.f64 4 (/.f64 (sqrt.f64 1/2) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 1 (*.f64 t (*.f64 (/.f64 1 l) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l t) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (*.f64 (sqrt.f64 1/2) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 1 (/.f64 -1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (/.f64 -1 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (/.f64 1 l) (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 l) (/.f64 (sqrt.f64 1/2) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 t (/.f64 -1 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 (/.f64 1 l) (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (/.f64 t (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 t) (*.f64 (sqrt.f64 1/2) (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 t l)) (*.f64 (sqrt.f64 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l 2) (*.f64 (sqrt.f64 1/2) (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 t) (/.f64 (sqrt.f64 1/2) (/.f64 2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 1/2)) (*.f64 l (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 1/2) (/.f64 l t))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (*.f64 (sqrt.f64 1/2) (/.f64 l t))))))) |
| 1× | egg-herbie |
| 1426× | rational.json-simplify-51 |
| 1020× | rational.json-simplify-43 |
| 912× | rational.json-simplify-54 |
| 900× | rational.json-simplify-53 |
| 856× | rational.json-simplify-55 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 187 | 1810 |
| 1 | 461 | 1810 |
| 2 | 1129 | 1810 |
| 3 | 4281 | 1810 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(+.f64 (*.f64 (sqrt.f64 1/2) l) 0) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) l)) |
(-.f64 (*.f64 (sqrt.f64 1/2) l) 0) |
(-.f64 0 (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(*.f64 1/2 (*.f64 (sqrt.f64 1/2) (+.f64 l l))) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 l (sqrt.f64 1/2)) |
(*.f64 l (/.f64 l (/.f64 l (sqrt.f64 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 1/2) l) 1) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 l 2)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 l 2) 1)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 1/2 l)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) 1/2) |
(*.f64 2 (/.f64 (sqrt.f64 1/2) (/.f64 2 l))) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) l) 2)) |
(*.f64 2 (/.f64 l (/.f64 2 (sqrt.f64 1/2)))) |
(*.f64 (+.f64 l l) (*.f64 1/2 (sqrt.f64 1/2))) |
(*.f64 (+.f64 l l) (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) 1)) |
(*.f64 (+.f64 l l) (/.f64 2 (/.f64 4 (sqrt.f64 1/2)))) |
(*.f64 (*.f64 l l) (/.f64 1 (/.f64 l (sqrt.f64 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l 4)) 1/4) |
(*.f64 (*.f64 l 4) (/.f64 1 (*.f64 2 (/.f64 2 (sqrt.f64 1/2))))) |
(*.f64 (*.f64 l 4) (/.f64 1 (/.f64 4 (sqrt.f64 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 1 (*.f64 (/.f64 1 l) 4))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) -1) |
(*.f64 -1 (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(*.f64 (neg.f64 l) (neg.f64 (sqrt.f64 1/2))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (/.f64 -1 l))) |
(*.f64 (/.f64 l 2) (*.f64 (sqrt.f64 1/2) 2)) |
(*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (+.f64 l l)) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(+.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0) |
(*.f64 1/2 (*.f64 (sqrt.f64 1/2) (*.f64 l (/.f64 2 t)))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 l (/.f64 l (*.f64 l (/.f64 t (sqrt.f64 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 1/2) l) (/.f64 1 t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 1/2 (/.f64 t l))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 1/2 (/.f64 t l)) 1)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 1/2 t) l)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 1/2 (/.f64 l t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 l 2) (/.f64 1 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) (/.f64 1/2 t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) (*.f64 (/.f64 1/2 t) 1)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) (*.f64 1/2 (/.f64 1 t))) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) l) (+.f64 t t))) |
(*.f64 2 (/.f64 (sqrt.f64 1/2) (*.f64 2 (/.f64 t l)))) |
(*.f64 2 (/.f64 l (*.f64 t (/.f64 2 (sqrt.f64 1/2))))) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2)) |
(*.f64 (+.f64 l l) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t))) |
(*.f64 (+.f64 l l) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (+.f64 l l) (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) 1)) |
(*.f64 (+.f64 l l) (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (/.f64 1 t))) |
(*.f64 (+.f64 l l) (/.f64 2 (/.f64 4 (/.f64 (sqrt.f64 1/2) t)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) l) |
(*.f64 (*.f64 l l) (/.f64 1 (*.f64 l (/.f64 t (sqrt.f64 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (/.f64 2 t))) 1/2) |
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l 4)) (/.f64 1 (*.f64 t 4))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (/.f64 l 2)) |
(*.f64 (*.f64 l 4) (/.f64 1 (*.f64 2 (*.f64 t (/.f64 2 (sqrt.f64 1/2)))))) |
(*.f64 (*.f64 l 4) (/.f64 1 (/.f64 4 (/.f64 (sqrt.f64 1/2) t)))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 1 (*.f64 t (*.f64 (/.f64 1 l) 4)))) |
(*.f64 (/.f64 l t) (sqrt.f64 1/2)) |
(*.f64 (/.f64 1 t) (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) (/.f64 1 (neg.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 1 (/.f64 -1 l))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) (neg.f64 t))) |
(*.f64 -1 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l))) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (/.f64 -1 l)))) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (/.f64 1 l) (neg.f64 t)))) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(*.f64 (neg.f64 l) (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 t (/.f64 -1 l)))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 (/.f64 1 l) (neg.f64 t)))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (/.f64 t (neg.f64 l)))) |
(*.f64 (/.f64 1/2 t) (*.f64 (sqrt.f64 1/2) (+.f64 l l))) |
(*.f64 (/.f64 1/2 (/.f64 t l)) (*.f64 (sqrt.f64 1/2) 2)) |
(*.f64 (/.f64 l 2) (*.f64 (sqrt.f64 1/2) (/.f64 2 t))) |
(*.f64 (/.f64 2 t) (/.f64 (sqrt.f64 1/2) (/.f64 2 l))) |
(*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (*.f64 l (/.f64 2 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) (+.f64 l l)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(/.f64 (*.f64 (sqrt.f64 1/2) l) t) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(+.f64 (*.f64 (sqrt.f64 1/2) l) 0) |
(*.f64 (sqrt.f64 1/2) l) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (sqrt.f64 1/2) l) |
(-.f64 (*.f64 (sqrt.f64 1/2) l) 0) |
(*.f64 (sqrt.f64 1/2) l) |
(-.f64 0 (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 1/2 (*.f64 (sqrt.f64 1/2) (+.f64 l l))) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 l (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 l (/.f64 l (/.f64 l (sqrt.f64 1/2)))) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (*.f64 (sqrt.f64 1/2) l) 1) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 l 2)) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 l 2) 1)) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 1/2 l)) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) 1/2) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 2 (/.f64 (sqrt.f64 1/2) (/.f64 2 l))) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) l) 2)) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 2 (/.f64 l (/.f64 2 (sqrt.f64 1/2)))) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (+.f64 l l) (*.f64 1/2 (sqrt.f64 1/2))) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (+.f64 l l) (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) 1)) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (+.f64 l l) (/.f64 2 (/.f64 4 (sqrt.f64 1/2)))) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (*.f64 l l) (/.f64 1 (/.f64 l (sqrt.f64 1/2)))) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l 4)) 1/4) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (*.f64 l 4) (/.f64 1 (*.f64 2 (/.f64 2 (sqrt.f64 1/2))))) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (*.f64 l 4) (/.f64 1 (/.f64 4 (sqrt.f64 1/2)))) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 1 (*.f64 (/.f64 1 l) 4))) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) -1) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 -1 (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (neg.f64 l) (neg.f64 (sqrt.f64 1/2))) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (/.f64 -1 l))) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (/.f64 l 2) (*.f64 (sqrt.f64 1/2) 2)) |
(*.f64 (sqrt.f64 1/2) l) |
(*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (+.f64 l l)) |
(*.f64 (sqrt.f64 1/2) l) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) l) |
(+.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 0) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 1/2 (*.f64 (sqrt.f64 1/2) (*.f64 l (/.f64 2 t)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 l (/.f64 l (*.f64 l (/.f64 t (sqrt.f64 1/2))))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) l) (/.f64 1 t)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 1) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 1/2 (/.f64 t l))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 1/2 (/.f64 t l)) 1)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 1/2 t) l)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 1/2 (/.f64 l t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 l 2) (/.f64 1 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) (/.f64 1/2 t)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) (*.f64 (/.f64 1/2 t) 1)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 l l)) (*.f64 1/2 (/.f64 1 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) l) (+.f64 t t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 2 (/.f64 (sqrt.f64 1/2) (*.f64 2 (/.f64 t l)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 2 (/.f64 l (*.f64 t (/.f64 2 (sqrt.f64 1/2))))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) 2)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (+.f64 l l) (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (+.f64 l l) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (+.f64 l l) (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) 1)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (+.f64 l l) (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (/.f64 1 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (+.f64 l l) (/.f64 2 (/.f64 4 (/.f64 (sqrt.f64 1/2) t)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) l) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 l l) (/.f64 1 (*.f64 l (/.f64 t (sqrt.f64 1/2))))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l (/.f64 2 t))) 1/2) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l 4)) (/.f64 1 (*.f64 t 4))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (/.f64 l 2)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 l 4) (/.f64 1 (*.f64 2 (*.f64 t (/.f64 2 (sqrt.f64 1/2)))))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 l 4) (/.f64 1 (/.f64 4 (/.f64 (sqrt.f64 1/2) t)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 1 (*.f64 t (*.f64 (/.f64 1 l) 4)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 l t) (sqrt.f64 1/2)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 1 t) (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) (/.f64 1 (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 1 (/.f64 -1 l))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 -1 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (/.f64 -1 l)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (/.f64 1 l) (neg.f64 t)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (neg.f64 l) (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 t (/.f64 -1 l)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 (/.f64 1 l) (neg.f64 t)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (/.f64 t (neg.f64 l)))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 1/2 t) (*.f64 (sqrt.f64 1/2) (+.f64 l l))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 1/2 (/.f64 t l)) (*.f64 (sqrt.f64 1/2) 2)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 l 2) (*.f64 (sqrt.f64 1/2) (/.f64 2 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (/.f64 2 t) (/.f64 (sqrt.f64 1/2) (/.f64 2 l))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (*.f64 l (/.f64 2 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) (+.f64 l l)) |
(*.f64 l (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
Compiled 13643 to 10791 computations (20.9% saved)
24 alts after pruning (19 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 758 | 15 | 773 |
| Fresh | 7 | 4 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 5 | 6 |
| Total | 767 | 24 | 791 |
| Status | Error | Program |
|---|---|---|
| 42.6b | (asin.f64 (/.f64 (/.f64 (/.f64 1 t) (/.f64 1 l)) (/.f64 1 (sqrt.f64 1/2)))) | |
| 42.6b | (asin.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) t)) | |
| 42.5b | (asin.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 l))) | |
| ▶ | 41.7b | (asin.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l))) |
| 42.6b | (asin.f64 (/.f64 (/.f64 1 t) (/.f64 (/.f64 1 (sqrt.f64 1/2)) l))) | |
| ▶ | 41.7b | (asin.f64 (/.f64 (/.f64 1 t) (/.f64 (/.f64 -1 (sqrt.f64 1/2)) l))) |
| 42.6b | (asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) | |
| 41.8b | (asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 4 (neg.f64 (/.f64 l t))))) | |
| 42.6b | (asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))) | |
| 41.7b | (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) | |
| 42.6b | (asin.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))) | |
| 38.4b | (asin.f64 (-.f64 1 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))) | |
| ▶ | 37.8b | (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
| 41.7b | (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1)) | |
| ✓ | 41.7b | (asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
| 41.7b | (asin.f64 (*.f64 (*.f64 (/.f64 1 t) (sqrt.f64 1/2)) (neg.f64 l))) | |
| ▶ | 41.7b | (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
| ▶ | 42.6b | (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
| ✓ | 42.6b | (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
| 42.5b | (asin.f64 (*.f64 l (*.f64 (/.f64 1 t) (sqrt.f64 1/2)))) | |
| ✓ | 9.4b | (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| ✓ | 21.3b | (asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
| 47.2b | (asin.f64 (sqrt.f64 (*.f64 1/2 (*.f64 (pow.f64 l 2) (/.f64 1 (pow.f64 t 2)))))) | |
| ✓ | 33.6b | (asin.f64 1) |
Compiled 585 to 499 computations (14.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) |
| ✓ | 0.7b | (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
| 17.0b | (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) |
Compiled 54 to 42 computations (22.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | Om | @ | inf | (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) |
| 0.0ms | Om | @ | 0 | (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) |
| 0.0ms | Omc | @ | 0 | (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) |
| 0.0ms | Omc | @ | inf | (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) |
| 0.0ms | Om | @ | inf | (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
| 1× | batch-egg-rewrite |
| 2068× | bool.json-1 |
| 2068× | bool.json-2 |
| 1692× | bool.json-3 |
| 712× | rational.json-simplify-35 |
| 620× | rational.json-simplify-49 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 60 |
| 1 | 144 | 60 |
| 2 | 387 | 60 |
| 3 | 806 | 60 |
| 4 | 1889 | 60 |
| 5 | 5957 | 60 |
| 1× | node limit |
| Inputs |
|---|
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4)) (*.f64 2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 Om 2) (neg.f64 (pow.f64 Omc 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -2)) (*.f64 2 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))))) |
| 1× | egg-herbie |
| 1720× | rational.json-simplify-35 |
| 1314× | rational.json-simplify-2 |
| 1192× | rational.json-simplify-1 |
| 974× | rational.json-simplify-50 |
| 938× | rational.json-simplify-51 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 1040 |
| 1 | 119 | 1040 |
| 2 | 281 | 1040 |
| 3 | 730 | 1040 |
| 4 | 1867 | 1040 |
| 5 | 3954 | 1040 |
| 6 | 6016 | 1040 |
| 7 | 6483 | 1040 |
| 8 | 7548 | 1040 |
| 1× | node limit |
| Inputs |
|---|
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 0) |
(+.f64 0 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(-.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 0) |
(*.f64 1 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(*.f64 2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1/2)) |
(*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1) |
(*.f64 (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 1/2) |
(*.f64 4 (/.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4)) |
(*.f64 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4) 1/4) |
(*.f64 1/2 (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) |
(*.f64 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1/2) 2) |
(/.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1) |
(/.f64 (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 2) |
(/.f64 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4)) (*.f64 2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4))) 16) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) 0) |
(+.f64 0 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) 0) |
(/.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) 1) |
(/.f64 (/.f64 (pow.f64 Om 2) (neg.f64 (pow.f64 Omc 2))) 2) |
(/.f64 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -2) 4) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -2)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -2)) (*.f64 2 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -2))) 16) |
| Outputs |
|---|
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (-.f64 1 (*.f64 1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 0) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(+.f64 0 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(-.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 0) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(*.f64 1 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(*.f64 2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1/2)) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(*.f64 (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 1/2) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(*.f64 4 (/.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4)) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(*.f64 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4) 1/4) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(*.f64 1/2 (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(*.f64 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1/2) 2) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(/.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 1) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(/.f64 (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) 2) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(/.f64 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4) 4) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4)) 8) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4)) (*.f64 2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) 4))) 16) |
(asin.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (*.f64 2 (pow.f64 Omc 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) 0) |
(*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2) |
(+.f64 0 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) |
(*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2) |
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) 0) |
(*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2) |
(/.f64 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))) 1) |
(*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2) |
(/.f64 (/.f64 (pow.f64 Om 2) (neg.f64 (pow.f64 Omc 2))) 2) |
(*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2) |
(/.f64 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -2) 4) |
(*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -2)) 8) |
(*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -2)) (*.f64 2 (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -2))) 16) |
(*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
| 0.3b | (*.f64 (sqrt.f64 1/2) (/.f64 l t)) |
Compiled 25 to 15 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | l | @ | 0 | (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
| 0.0ms | l | @ | -inf | (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
| 0.0ms | t | @ | -inf | (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
| 0.0ms | l | @ | inf | (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
| 0.0ms | t | @ | inf | (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
| 1× | batch-egg-rewrite |
| 1546× | rational.json-simplify-50 |
| 702× | rational.json-simplify-44 |
| 672× | rational.json-simplify-49 |
| 664× | rational.json-simplify-35 |
| 640× | rational.json-simplify-47 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 99 | 21 |
| 2 | 278 | 21 |
| 3 | 634 | 21 |
| 4 | 1589 | 21 |
| 5 | 6007 | 21 |
| 1× | node limit |
| Inputs |
|---|
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) (*.f64 1/2 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))))) (#(struct:change #<rule egg-rr> (2) ((x or (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))))) |
| 1× | egg-herbie |
| 5184× | rational.json-simplify-41 |
| 2604× | rational.json-simplify-35 |
| 1178× | rational.json-simplify-2 |
| 1150× | rational.json-simplify-49 |
| 604× | rational.json-simplify-51 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 861 |
| 1 | 85 | 861 |
| 2 | 189 | 861 |
| 3 | 448 | 861 |
| 4 | 999 | 861 |
| 5 | 1898 | 861 |
| 6 | 2399 | 861 |
| 7 | 2458 | 861 |
| 8 | 2509 | 861 |
| 9 | 2546 | 861 |
| 10 | 2581 | 861 |
| 11 | 2616 | 861 |
| 12 | 2651 | 861 |
| 13 | 2686 | 861 |
| 14 | 2721 | 861 |
| 15 | 2756 | 861 |
| 16 | 2791 | 861 |
| 17 | 2826 | 861 |
| 18 | 2861 | 861 |
| 19 | 2896 | 861 |
| 20 | 3652 | 861 |
| 21 | 3724 | 861 |
| 22 | 3794 | 861 |
| 23 | 3860 | 861 |
| 24 | 3925 | 861 |
| 25 | 3990 | 861 |
| 26 | 4203 | 861 |
| 27 | 4259 | 861 |
| 28 | 4314 | 861 |
| 29 | 4368 | 861 |
| 30 | 4368 | 861 |
| 31 | 4422 | 861 |
| 32 | 4476 | 861 |
| 33 | 4530 | 861 |
| 34 | 4584 | 861 |
| 35 | 4638 | 861 |
| 1× | node limit |
| Inputs |
|---|
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(+.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 0) |
(+.f64 0 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(+.f64 (*.f64 1/2 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) (*.f64 1/2 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))) |
(-.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 0) |
(*.f64 1/2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 2)) |
(*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 1) |
(*.f64 1 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(*.f64 2 (*.f64 1/2 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))) |
(*.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 2) 1/2) |
(*.f64 4 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 4)) |
(*.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 4) 1/4) |
(*.f64 (*.f64 1/2 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) 2) |
(/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 1) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 2) 2) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 4)) 8) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 4))) 16) |
| Outputs |
|---|
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(+.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 0) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(+.f64 0 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(+.f64 (*.f64 1/2 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) (*.f64 1/2 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(-.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 0) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 1/2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 2)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 1) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 1 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 2 (*.f64 1/2 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 2) 1/2) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 4 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 4)) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 4) 1/4) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (*.f64 1/2 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) 2) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 1) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 2) 2) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 4) 4) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 4)) 8) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) 4))) 16) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
Compiled 30 to 16 computations (46.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | l | @ | 0 | (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
| 0.0ms | l | @ | inf | (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
| 0.0ms | t | @ | 0 | (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
| 0.0ms | t | @ | inf | (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
| 0.0ms | t | @ | -inf | (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
| 1× | batch-egg-rewrite |
| 1666× | bool.json-1 |
| 1666× | bool.json-2 |
| 1628× | rational.json-1 |
| 1628× | rational.json-2 |
| 1246× | bool.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 46 |
| 1 | 112 | 46 |
| 2 | 323 | 46 |
| 3 | 788 | 46 |
| 4 | 2231 | 46 |
| 5 | 5675 | 46 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 t (neg.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 l (neg.f64 t)) (/.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 t (neg.f64 l)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 t l) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l -2) (/.f64 (+.f64 t t) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l -2) (+.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 t (/.f64 l -2)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (/.f64 t (neg.f64 l)) (sqrt.f64 1/2)) (/.f64 (/.f64 t (neg.f64 l)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 t (/.f64 l -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 l t)) (/.f64 2 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 l t)) (+.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l -4) (+.f64 (/.f64 (+.f64 t t) (sqrt.f64 1/2)) (/.f64 (+.f64 t t) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 l l) (+.f64 (/.f64 t (neg.f64 (sqrt.f64 1/2))) (/.f64 t (neg.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (*.f64 -2 (/.f64 l t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (/.f64 (/.f64 t l) (sqrt.f64 1/2)) (/.f64 (/.f64 t l) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 l t) (/.f64 -1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (/.f64 t (/.f64 l -2)) (sqrt.f64 1/2)) (/.f64 (/.f64 t (/.f64 l -2)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 2 (/.f64 t (/.f64 l -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 (/.f64 t (neg.f64 l)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l t) -4) (+.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 2 t)) (/.f64 -2 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 2 t)) (+.f64 (/.f64 -1 (sqrt.f64 1/2)) (/.f64 -1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 l (/.f64 2 t))) (+.f64 (/.f64 -2 (sqrt.f64 1/2)) (/.f64 -2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) 4)) (+.f64 (*.f64 (/.f64 t (neg.f64 l)) 4) (*.f64 (/.f64 t (neg.f64 l)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) (/.f64 -1/2 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (/.f64 t (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t (neg.f64 l))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) 2) (/.f64 t (*.f64 l -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (sqrt.f64 1/2) t)) (+.f64 (/.f64 -1 l) (/.f64 -1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) -4))) (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t (neg.f64 l))) (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t (neg.f64 l)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2))) (+.f64 (neg.f64 (/.f64 t (neg.f64 l))) (neg.f64 (/.f64 t (neg.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) 1/2) (/.f64 t (/.f64 l -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 2) t) (/.f64 -2 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) (/.f64 -1 l)) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) 2)) (-.f64 0 (/.f64 t (/.f64 l -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) t)) (-.f64 0 (/.f64 -1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sqrt.f64 1/2))) (/.f64 t (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4)) (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))))))) |
| 1× | egg-herbie |
| 1344× | rational.json-simplify-2 |
| 1334× | rational.json-simplify-35 |
| 1274× | rational.json-simplify-51 |
| 1180× | rational.json-simplify-61 |
| 800× | rational.json-simplify-41 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 2727 |
| 1 | 494 | 2507 |
| 2 | 1391 | 2507 |
| 3 | 4219 | 2507 |
| 4 | 7025 | 2507 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(+.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(/.f64 l (/.f64 t (neg.f64 (sqrt.f64 1/2)))) |
(/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2))) |
(/.f64 (/.f64 l (neg.f64 t)) (/.f64 1 (sqrt.f64 1/2))) |
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 1) |
(/.f64 1 (/.f64 (/.f64 t (neg.f64 l)) (sqrt.f64 1/2))) |
(/.f64 -1 (/.f64 (/.f64 t l) (sqrt.f64 1/2))) |
(/.f64 (*.f64 l -2) (/.f64 (+.f64 t t) (sqrt.f64 1/2))) |
(/.f64 (*.f64 l -2) (+.f64 (/.f64 t (sqrt.f64 1/2)) (/.f64 t (sqrt.f64 1/2)))) |
(/.f64 2 (/.f64 (/.f64 t (/.f64 l -2)) (sqrt.f64 1/2))) |
(/.f64 2 (+.f64 (/.f64 (/.f64 t (neg.f64 l)) (sqrt.f64 1/2)) (/.f64 (/.f64 t (neg.f64 l)) (sqrt.f64 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 t (/.f64 l -2))) |
(/.f64 (*.f64 -2 (/.f64 l t)) (/.f64 2 (sqrt.f64 1/2))) |
(/.f64 (*.f64 -2 (/.f64 l t)) (+.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 1 (sqrt.f64 1/2)))) |
(/.f64 (*.f64 l -4) (+.f64 (/.f64 (+.f64 t t) (sqrt.f64 1/2)) (/.f64 (+.f64 t t) (sqrt.f64 1/2)))) |
(/.f64 (+.f64 l l) (+.f64 (/.f64 t (neg.f64 (sqrt.f64 1/2))) (/.f64 t (neg.f64 (sqrt.f64 1/2))))) |
(/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 -2 (/.f64 l t))) 2) |
(/.f64 -2 (+.f64 (/.f64 (/.f64 t l) (sqrt.f64 1/2)) (/.f64 (/.f64 t l) (sqrt.f64 1/2)))) |
(/.f64 (/.f64 l t) (/.f64 -1 (sqrt.f64 1/2))) |
(/.f64 4 (+.f64 (/.f64 (/.f64 t (/.f64 l -2)) (sqrt.f64 1/2)) (/.f64 (/.f64 t (/.f64 l -2)) (sqrt.f64 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 2 (/.f64 t (/.f64 l -2)))) |
(/.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 (/.f64 t (neg.f64 l)) 4)) |
(/.f64 (*.f64 (/.f64 l t) -4) (+.f64 (/.f64 2 (sqrt.f64 1/2)) (/.f64 2 (sqrt.f64 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) -4)) 4) |
(/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l)) |
(/.f64 (*.f64 l (/.f64 2 t)) (/.f64 -2 (sqrt.f64 1/2))) |
(/.f64 (*.f64 l (/.f64 2 t)) (+.f64 (/.f64 -1 (sqrt.f64 1/2)) (/.f64 -1 (sqrt.f64 1/2)))) |
(/.f64 (*.f64 2 (*.f64 l (/.f64 2 t))) (+.f64 (/.f64 -2 (sqrt.f64 1/2)) (/.f64 -2 (sqrt.f64 1/2)))) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) -4))) 8) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) 4)) (+.f64 (*.f64 (/.f64 t (neg.f64 l)) 4) (*.f64 (/.f64 t (neg.f64 l)) 4))) |
(/.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 1 l)) |
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) (/.f64 -1/2 l)) |
(/.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (/.f64 t (neg.f64 l)))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t (neg.f64 l))) 4) |
(/.f64 (/.f64 (sqrt.f64 1/2) 2) (/.f64 t (*.f64 l -2))) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 (sqrt.f64 1/2) t)) (+.f64 (/.f64 -1 l) (/.f64 -1 l))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) -4))) (*.f64 2 (*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l t) -4)))) 16) |
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t (neg.f64 l))) (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 t (neg.f64 l)))) 8) |
(/.f64 (+.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2))) (+.f64 (neg.f64 (/.f64 t (neg.f64 l))) (neg.f64 (/.f64 t (neg.f64 l))))) |
(/.f64 (/.f64 (sqrt.f64 1/2) 1/2) (/.f64 t (/.f64 l -2))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 2) t) (/.f64 -2 l)) |
(/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 -1 l)) t) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) 2)) (-.f64 0 (/.f64 t (/.f64 l -2)))) |
(/.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) t)) (-.f64 0 (/.f64 -1 l))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 1/2))) (/.f64 t (neg.f64 l))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(+.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 0) |
(+.f64 0 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))) |
(-.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 0) |
(*.f64 1/2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2)) |
(*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 1) |
(*.f64 1 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))) |
(*.f64 2 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2)) |
(*.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2) 1/2) |
(*.f64 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2) 2) |
(/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 1) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2) 2) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4)) (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4))) 16) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
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(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(*.f64 1/2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2)) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 1) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(*.f64 1 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(*.f64 2 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2)) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(*.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2) 1/2) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(*.f64 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2) 2) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 1) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2) 2) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4) 4) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(/.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4)) 8) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4)) (*.f64 2 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4))) 16) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t (neg.f64 l)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (asin.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l))) |
| ✓ | 0.3b | (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l)) |
| 0.5b | (/.f64 (sqrt.f64 1/2) t) |
Compiled 34 to 26 computations (23.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l)) |
| 0.0ms | l | @ | inf | (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l)) |
| 0.0ms | l | @ | -inf | (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l)) |
| 0.0ms | t | @ | inf | (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l)) |
| 0.0ms | t | @ | -inf | (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l)) |
| 1× | batch-egg-rewrite |
| 1638× | bool.json-1 |
| 1638× | bool.json-2 |
| 1606× | rational.json-1 |
| 1606× | rational.json-2 |
| 1332× | bool.json-3 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 50 |
| 1 | 132 | 50 |
| 2 | 463 | 46 |
| 3 | 1506 | 46 |
| 4 | 5091 | 46 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l)) |
(asin.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l -2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 2 (/.f64 -2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 (/.f64 -1 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (/.f64 -1 l) (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (neg.f64 (/.f64 -1 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 t (neg.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sqrt.f64 1/2) (/.f64 t l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 l (/.f64 t (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 l (neg.f64 (/.f64 t (neg.f64 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 (+.f64 t t) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (sqrt.f64 1/2) (/.f64 (+.f64 t t) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (/.f64 -1/2 (/.f64 t (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 (/.f64 -1/2 (/.f64 t (sqrt.f64 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 (*.f64 (sqrt.f64 1/2) -1/2) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (/.f64 2 (/.f64 t (/.f64 (sqrt.f64 1/2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (/.f64 (neg.f64 l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (*.f64 (/.f64 (neg.f64 l) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (*.f64 1/2 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (/.f64 1 (/.f64 -2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 (neg.f64 l) (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 (neg.f64 l) (+.f64 t t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 1/2 (/.f64 (neg.f64 l) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 (neg.f64 l) 2) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 1/2 t) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 (/.f64 -1 l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 l (*.f64 t (/.f64 -2 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 1/2) (*.f64 (/.f64 t (neg.f64 l)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l -2)) t) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) 4) (/.f64 1 (*.f64 (/.f64 -1 l) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l -2)) (/.f64 1/2 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l 4) (/.f64 1 (*.f64 2 (*.f64 t (/.f64 -2 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l 4) (/.f64 1 (/.f64 t (/.f64 (sqrt.f64 1/2) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 1 (*.f64 (/.f64 -1 l) (*.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 l) t) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (*.f64 (sqrt.f64 1/2) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 1 (neg.f64 (/.f64 -1 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 1 (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (/.f64 1 (sqrt.f64 1/2))) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 l t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 1 t) (neg.f64 (/.f64 -1 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 1 t) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 (/.f64 -1 l) (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 t (neg.f64 (/.f64 -1 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (neg.f64 (/.f64 t (neg.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 l) (/.f64 (sqrt.f64 1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 l) (/.f64 1 (neg.f64 (/.f64 t (neg.f64 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 1 (/.f64 (+.f64 t t) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 t)) (/.f64 (sqrt.f64 1/2) (*.f64 (/.f64 -1 l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 t)) (/.f64 (sqrt.f64 1/2) (/.f64 -2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l -2) (/.f64 (sqrt.f64 1/2) (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 t) (*.f64 (sqrt.f64 1/2) (*.f64 l -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 l) 2) (*.f64 (sqrt.f64 1/2) (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 l) (+.f64 t t)) (*.f64 (sqrt.f64 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) -1/2) (*.f64 l (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 t (sqrt.f64 1/2))) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 4) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))))))) (#(struct:change #<rule egg-rr> (2) ((x or (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)))))))) |
| 1× | egg-herbie |
| 1118× | rational.json-simplify-51 |
| 1052× | rational.json-simplify-44 |
| 976× | rational.json-simplify-47 |
| 948× | rational.json-simplify-35 |
| 884× | rational.json-simplify-61 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 3126 |
| 1 | 512 | 2868 |
| 2 | 1299 | 2852 |
| 3 | 4736 | 2852 |
| 4 | 7438 | 2852 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(+.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) 0) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) 0) |
(*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l -2)) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 2 (/.f64 -2 l))) |
(*.f64 -1 (/.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 (/.f64 -1 l)))) |
(*.f64 -1 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 l))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) (neg.f64 t))) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 (/.f64 -1 l) (neg.f64 t)))) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (*.f64 t (neg.f64 (/.f64 -1 l))))) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 t (neg.f64 l))))) |
(*.f64 -1 (/.f64 (sqrt.f64 1/2) (/.f64 t l))) |
(*.f64 -1 (/.f64 l (/.f64 t (sqrt.f64 1/2)))) |
(*.f64 -1 (/.f64 l (neg.f64 (/.f64 t (neg.f64 (sqrt.f64 1/2)))))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 (+.f64 t t) l))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) 1) |
(*.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(*.f64 -2 (/.f64 (sqrt.f64 1/2) (/.f64 (+.f64 t t) l))) |
(*.f64 (+.f64 l l) (/.f64 -1/2 (/.f64 t (sqrt.f64 1/2)))) |
(*.f64 (+.f64 l l) (*.f64 (/.f64 -1/2 (/.f64 t (sqrt.f64 1/2))) 1)) |
(*.f64 (+.f64 l l) (*.f64 (*.f64 (sqrt.f64 1/2) -1/2) (/.f64 1 t))) |
(*.f64 (+.f64 l l) (/.f64 2 (/.f64 t (/.f64 (sqrt.f64 1/2) -4)))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (/.f64 (neg.f64 l) 2)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (*.f64 (/.f64 (neg.f64 l) 2) 1)) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (*.f64 1/2 (neg.f64 l))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 2 t)) (/.f64 1 (/.f64 -2 l))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (/.f64 (neg.f64 l) (+.f64 t t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 (neg.f64 l) (+.f64 t t)) 1)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 1/2 (/.f64 (neg.f64 l) t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 (neg.f64 l) 2) (/.f64 1 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 1/2 t) (neg.f64 l))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) (/.f64 1 t)) |
(*.f64 2 (/.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 (/.f64 -1 l) 2))) |
(*.f64 2 (/.f64 l (*.f64 t (/.f64 -2 (sqrt.f64 1/2))))) |
(*.f64 2 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -2 l))) |
(*.f64 2 (/.f64 (sqrt.f64 1/2) (*.f64 (/.f64 t (neg.f64 l)) 2))) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) 2)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l -2)) t) 1/2) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) 4) (/.f64 1 (*.f64 (/.f64 -1 l) 4))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l -2)) (/.f64 1/2 t)) |
(*.f64 (*.f64 l 4) (/.f64 1 (*.f64 2 (*.f64 t (/.f64 -2 (sqrt.f64 1/2)))))) |
(*.f64 (*.f64 l 4) (/.f64 1 (/.f64 t (/.f64 (sqrt.f64 1/2) -4)))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 1 (*.f64 (/.f64 -1 l) (*.f64 t 4)))) |
(*.f64 (/.f64 (neg.f64 l) t) (sqrt.f64 1/2)) |
(*.f64 (/.f64 1 t) (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) l) |
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 1 (neg.f64 (/.f64 -1 l)))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 1 (/.f64 1 l))) |
(*.f64 (/.f64 l (/.f64 1 (sqrt.f64 1/2))) (/.f64 1 (neg.f64 t))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 l t)) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 1 t) (neg.f64 (/.f64 -1 l)))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 1 t) (/.f64 1 l))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 (/.f64 -1 l) (neg.f64 t)))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 t (neg.f64 (/.f64 -1 l))))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (neg.f64 (/.f64 t (neg.f64 l))))) |
(*.f64 (neg.f64 l) (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 (neg.f64 l) (/.f64 1 (neg.f64 (/.f64 t (neg.f64 (sqrt.f64 1/2)))))) |
(*.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 1 (/.f64 (+.f64 t t) l))) |
(*.f64 (*.f64 2 (/.f64 1 t)) (/.f64 (sqrt.f64 1/2) (*.f64 (/.f64 -1 l) 2))) |
(*.f64 (*.f64 2 (/.f64 1 t)) (/.f64 (sqrt.f64 1/2) (/.f64 -2 l))) |
(*.f64 (*.f64 l -2) (/.f64 (sqrt.f64 1/2) (+.f64 t t))) |
(*.f64 (/.f64 1/2 t) (*.f64 (sqrt.f64 1/2) (*.f64 l -2))) |
(*.f64 (/.f64 (neg.f64 l) 2) (*.f64 (sqrt.f64 1/2) (/.f64 2 t))) |
(*.f64 (/.f64 (neg.f64 l) (+.f64 t t)) (*.f64 (sqrt.f64 1/2) 2)) |
(*.f64 (*.f64 (sqrt.f64 1/2) -1/2) (*.f64 l (/.f64 2 t))) |
(*.f64 (/.f64 -1/2 (/.f64 t (sqrt.f64 1/2))) (+.f64 l l)) |
(+.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 0) |
(+.f64 0 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)))) |
(-.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 0) |
(*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 1) |
(*.f64 1 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)))) |
(*.f64 2 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 2)) |
(*.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 2) 1/2) |
(/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 1) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 2) 2) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 4) 4) |
(/.f64 (+.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 4) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 4)) 8) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
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(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 1/2 (/.f64 (neg.f64 l) t))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 (neg.f64 l) 2) (/.f64 1 t))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) 2) (*.f64 (/.f64 1/2 t) (neg.f64 l))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) (/.f64 1 t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 2 (/.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 (/.f64 -1 l) 2))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 2 (/.f64 l (*.f64 t (/.f64 -2 (sqrt.f64 1/2))))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 2 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -2 l))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 2 (/.f64 (sqrt.f64 1/2) (*.f64 (/.f64 t (neg.f64 l)) 2))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) 2)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l -2)) t) 1/2) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) 4) (/.f64 1 (*.f64 (/.f64 -1 l) 4))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 4 (/.f64 (neg.f64 l) 4))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 4 (*.f64 l -1/4))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 l -2)) (/.f64 1/2 t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (*.f64 l 4) (/.f64 1 (*.f64 2 (*.f64 t (/.f64 -2 (sqrt.f64 1/2)))))) |
(*.f64 (*.f64 l 4) (/.f64 1/2 (*.f64 t (/.f64 -2 (sqrt.f64 1/2))))) |
(*.f64 l (*.f64 4 (/.f64 1/2 (*.f64 t (/.f64 -2 (sqrt.f64 1/2)))))) |
(*.f64 (*.f64 l 4) (/.f64 (sqrt.f64 1/2) (*.f64 t -4))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t -4)) (*.f64 l 4)) |
(*.f64 (*.f64 l 4) (/.f64 1 (/.f64 t (/.f64 (sqrt.f64 1/2) -4)))) |
(*.f64 (*.f64 l 4) (/.f64 1/2 (*.f64 t (/.f64 -2 (sqrt.f64 1/2))))) |
(*.f64 l (*.f64 4 (/.f64 1/2 (*.f64 t (/.f64 -2 (sqrt.f64 1/2)))))) |
(*.f64 (*.f64 l 4) (/.f64 (sqrt.f64 1/2) (*.f64 t -4))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t -4)) (*.f64 l 4)) |
(*.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 1 (*.f64 (/.f64 -1 l) (*.f64 t 4)))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (/.f64 (neg.f64 l) t) (sqrt.f64 1/2)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (/.f64 1 t) (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) l) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 1 (neg.f64 (/.f64 -1 l)))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) (/.f64 1 (/.f64 1 l))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (/.f64 l (/.f64 1 (sqrt.f64 1/2))) (/.f64 1 (neg.f64 t))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 l t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 1 t) (neg.f64 (/.f64 -1 l)))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 1 t) (/.f64 1 l))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 (/.f64 -1 l) (neg.f64 t)))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 t (neg.f64 (/.f64 -1 l))))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (neg.f64 (/.f64 t (neg.f64 l))))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (neg.f64 l) (/.f64 (sqrt.f64 1/2) t)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (neg.f64 l) (/.f64 1 (neg.f64 (/.f64 t (neg.f64 (sqrt.f64 1/2)))))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) -2) (/.f64 1 (/.f64 (+.f64 t t) l))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (*.f64 2 (/.f64 1 t)) (/.f64 (sqrt.f64 1/2) (*.f64 (/.f64 -1 l) 2))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (*.f64 2 (/.f64 1 t)) (/.f64 (sqrt.f64 1/2) (/.f64 -2 l))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (*.f64 l -2) (/.f64 (sqrt.f64 1/2) (+.f64 t t))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (/.f64 1/2 t) (*.f64 (sqrt.f64 1/2) (*.f64 l -2))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (/.f64 (neg.f64 l) 2) (*.f64 (sqrt.f64 1/2) (/.f64 2 t))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (/.f64 (neg.f64 l) (+.f64 t t)) (*.f64 (sqrt.f64 1/2) 2)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) -1/2) (*.f64 l (/.f64 2 t))) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 (/.f64 -1/2 (/.f64 t (sqrt.f64 1/2))) (+.f64 l l)) |
(*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(+.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 0) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
(+.f64 0 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
(-.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 0) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
(*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 1) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
(*.f64 1 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)))) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
(*.f64 2 (/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 2)) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
(*.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 2) 1/2) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
(/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 1) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 2) 2) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 4) 4) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
(/.f64 (+.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 4) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) 4)) 8) |
(asin.f64 (*.f64 -1 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (asin.f64 (/.f64 (/.f64 1 t) (/.f64 (/.f64 -1 (sqrt.f64 1/2)) l))) |
| ✓ | 0.2b | (/.f64 (/.f64 1 t) (/.f64 (/.f64 -1 (sqrt.f64 1/2)) l)) |
| ✓ | 0.5b | (/.f64 (/.f64 -1 (sqrt.f64 1/2)) l) |
| ✓ | 1.0b | (/.f64 -1 (sqrt.f64 1/2)) |
Compiled 45 to 37 computations (17.8% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | l | @ | inf | (/.f64 (/.f64 -1 (sqrt.f64 1/2)) l) |
| 0.0ms | l | @ | 0 | (/.f64 (/.f64 -1 (sqrt.f64 1/2)) l) |
| 0.0ms | l | @ | 0 | (asin.f64 (/.f64 (/.f64 1 t) (/.f64 (/.f64 -1 (sqrt.f64 1/2)) l))) |
| 0.0ms | t | @ | 0 | (/.f64 (/.f64 1 t) (/.f64 (/.f64 -1 (sqrt.f64 1/2)) l)) |
| 0.0ms | t | @ | -inf | (/.f64 (/.f64 1 t) (/.f64 (/.f64 -1 (sqrt.f64 1/2)) l)) |
| 1× | batch-egg-rewrite |
| 1902× | bool.json-1 |
| 1902× | bool.json-2 |
| 1872× | rational.json-1 |
| 1476× | bool.json-3 |
| 1084× | rational.json-simplify-35 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 90 |
| 1 | 162 | 78 |
| 2 | 581 | 74 |
| 3 | 1996 | 74 |
| 4 | 5781 | 74 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (sqrt.f64 1/2)) |
(/.f64 (/.f64 -1 (sqrt.f64 1/2)) l) |
(/.f64 (/.f64 1 t) (/.f64 (/.f64 -1 (sqrt.f64 1/2)) l)) |
(asin.f64 (/.f64 (/.f64 1 t) (/.f64 (/.f64 -1 (sqrt.f64 1/2)) l))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (sqrt.f64 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (sqrt.f64 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 -1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 -1 (sqrt.f64 1/2)) (/.f64 -1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 -1 (sqrt.f64 1/2)) (/.f64 -1 (sqrt.f64 1/2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 1/2)) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2) (/.f64 1/2 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2) (*.f64 (/.f64 1/2 l) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2) (*.f64 1/2 (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 l) (/.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 l) (*.f64 (/.f64 1 (sqrt.f64 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 l) (/.f64 -1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 -1 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 l) (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 -1 (*.f64 (sqrt.f64 1/2) l))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) (/.f64 -1 (*.f64 (sqrt.f64 1/2) l))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 (/.f64 1 t) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (/.f64 (neg.f64 t) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 (/.f64 1 (/.f64 (neg.f64 t) l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l (neg.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 (/.f64 -1 (/.f64 1 l)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (*.f64 (sqrt.f64 1/2) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (/.f64 1/2 (/.f64 t (neg.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 (/.f64 1/2 (/.f64 t (neg.f64 (sqrt.f64 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) 2) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) 2) (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) 2) (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 t) 2) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) l) (neg.f64 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) l) (/.f64 -1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) l) (*.f64 (/.f64 -1 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 t) (*.f64 (sqrt.f64 1/2) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (neg.f64 t) l)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 t (neg.f64 (sqrt.f64 1/2)))) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) 2) (*.f64 (/.f64 1 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (neg.f64 t)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))))))) |
| 1× | egg-herbie |
| 1412× | rational.json-simplify-2 |
| 1212× | rational.json-simplify-51 |
| 1056× | rational.json-simplify-1 |
| 826× | rational.json-simplify-35 |
| 700× | rational.json-simplify-50 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 2550 |
| 1 | 275 | 2550 |
| 2 | 599 | 2550 |
| 3 | 1694 | 2550 |
| 4 | 4102 | 2550 |
| 5 | 6466 | 2550 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(+.f64 (/.f64 -1 (sqrt.f64 1/2)) 0) |
(+.f64 0 (/.f64 -1 (sqrt.f64 1/2))) |
(-.f64 (/.f64 -1 (sqrt.f64 1/2)) 0) |
(*.f64 1/2 (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2)) |
(*.f64 (/.f64 -1 (sqrt.f64 1/2)) 1) |
(*.f64 1 (/.f64 -1 (sqrt.f64 1/2))) |
(*.f64 (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2) 1/2) |
(+.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) 0) |
(+.f64 0 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l))) |
(-.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) 0) |
(*.f64 1/2 (*.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) 2)) |
(*.f64 (/.f64 -1 (sqrt.f64 1/2)) (/.f64 1 l)) |
(*.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) 1) |
(*.f64 1 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l))) |
(*.f64 (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2) (/.f64 1/2 l)) |
(*.f64 (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2) (*.f64 (/.f64 1/2 l) 1)) |
(*.f64 (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2) (*.f64 1/2 (/.f64 1 l))) |
(*.f64 (*.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) 2) 1/2) |
(*.f64 (/.f64 -1 l) (/.f64 1 (sqrt.f64 1/2))) |
(*.f64 (/.f64 -1 l) (*.f64 (/.f64 1 (sqrt.f64 1/2)) 1)) |
(*.f64 (/.f64 1 l) (/.f64 -1 (sqrt.f64 1/2))) |
(*.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 -1 l)) |
(*.f64 (/.f64 1/2 l) (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2)) |
(neg.f64 (neg.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)))) |
(+.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0) |
(*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 1 t) (neg.f64 l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 1 (/.f64 (neg.f64 t) l))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 1 (/.f64 (neg.f64 t) l)) 1)) |
(*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l (neg.f64 t)) 1)) |
(*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 -1 (/.f64 1 l)) (/.f64 1 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(*.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(*.f64 (/.f64 1 t) (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 1) |
(*.f64 (+.f64 l l) (/.f64 1/2 (/.f64 t (neg.f64 (sqrt.f64 1/2))))) |
(*.f64 (+.f64 l l) (*.f64 (/.f64 1/2 (/.f64 t (neg.f64 (sqrt.f64 1/2)))) 1)) |
(*.f64 (+.f64 l l) (*.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) 2) (/.f64 1 t))) |
(*.f64 (+.f64 l l) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
(*.f64 (*.f64 (/.f64 1 t) 2) (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) 2)) |
(*.f64 (*.f64 (/.f64 1 t) 2) (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) 2) 1)) |
(*.f64 (*.f64 (/.f64 1 t) 2) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) (neg.f64 l)))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) (/.f64 1 t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) l) (neg.f64 (/.f64 1 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) l) (/.f64 -1 t)) |
(*.f64 (*.f64 (sqrt.f64 1/2) l) (*.f64 (/.f64 -1 t) 1)) |
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) l) |
(*.f64 (/.f64 -1 t) (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (/.f64 1 (/.f64 (neg.f64 t) l)) (sqrt.f64 1/2)) |
(*.f64 (/.f64 1/2 (/.f64 t (neg.f64 (sqrt.f64 1/2)))) (+.f64 l l)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) 2) (*.f64 (/.f64 1 t) 2)) |
(*.f64 (/.f64 l (neg.f64 t)) (sqrt.f64 1/2)) |
(neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(+.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 0) |
(+.f64 0 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))) |
(-.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 0) |
(*.f64 1 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))) |
(*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 1) |
(/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 1) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2) 2) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4) 4) |
(/.f64 (+.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4)) 8) |
| Outputs |
|---|
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(+.f64 (/.f64 -1 (sqrt.f64 1/2)) 0) |
(/.f64 -1 (sqrt.f64 1/2)) |
(+.f64 0 (/.f64 -1 (sqrt.f64 1/2))) |
(/.f64 -1 (sqrt.f64 1/2)) |
(-.f64 (/.f64 -1 (sqrt.f64 1/2)) 0) |
(/.f64 -1 (sqrt.f64 1/2)) |
(*.f64 1/2 (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2)) |
(/.f64 -1 (sqrt.f64 1/2)) |
(*.f64 (/.f64 -1 (sqrt.f64 1/2)) 1) |
(/.f64 -1 (sqrt.f64 1/2)) |
(*.f64 1 (/.f64 -1 (sqrt.f64 1/2))) |
(/.f64 -1 (sqrt.f64 1/2)) |
(*.f64 (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2) 1/2) |
(/.f64 -1 (sqrt.f64 1/2)) |
(+.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) 0) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(+.f64 0 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l))) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(-.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) 0) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 1/2 (*.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) 2)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (/.f64 -1 (sqrt.f64 1/2)) (/.f64 1 l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) 1) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 1 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l))) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2) (/.f64 1/2 l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2) (*.f64 (/.f64 1/2 l) 1)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2) (*.f64 1/2 (/.f64 1 l))) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (*.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) 2) 1/2) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (/.f64 -1 l) (/.f64 1 (sqrt.f64 1/2))) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (/.f64 -1 l) (*.f64 (/.f64 1 (sqrt.f64 1/2)) 1)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (/.f64 1 l) (/.f64 -1 (sqrt.f64 1/2))) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 -1 l)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(*.f64 (/.f64 1/2 l) (*.f64 (/.f64 -1 (sqrt.f64 1/2)) 2)) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(neg.f64 (neg.f64 (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)))) |
(/.f64 -1 (*.f64 (sqrt.f64 1/2) l)) |
(+.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(+.f64 0 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 0) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 1 t) (neg.f64 l))) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 1 (/.f64 (neg.f64 t) l))) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 1 (/.f64 (neg.f64 t) l)) 1)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 l (neg.f64 t)) 1)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (sqrt.f64 1/2) (*.f64 (/.f64 -1 (/.f64 1 l)) (/.f64 1 t))) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 l (/.f64 (sqrt.f64 1/2) (neg.f64 t))) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (/.f64 1 t) (*.f64 (sqrt.f64 1/2) (neg.f64 l))) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) 1) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (+.f64 l l) (/.f64 1/2 (/.f64 t (neg.f64 (sqrt.f64 1/2))))) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (+.f64 l l) (*.f64 (/.f64 1/2 (/.f64 t (neg.f64 (sqrt.f64 1/2)))) 1)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (+.f64 l l) (*.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) 2) (/.f64 1 t))) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (+.f64 l l) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) (neg.f64 t)))) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (*.f64 (/.f64 1 t) 2) (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) 2)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (*.f64 (/.f64 1 t) 2) (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) 2) 1)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (*.f64 (/.f64 1 t) 2) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) (neg.f64 l)))) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) (/.f64 1 t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) l) (neg.f64 (/.f64 1 t))) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) l) (/.f64 -1 t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (*.f64 (sqrt.f64 1/2) l) (*.f64 (/.f64 -1 t) 1)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)) l) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (/.f64 -1 t) (*.f64 (sqrt.f64 1/2) l)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (/.f64 1 (/.f64 (neg.f64 t) l)) (sqrt.f64 1/2)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (/.f64 1/2 (/.f64 t (neg.f64 (sqrt.f64 1/2)))) (+.f64 l l)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 l)) 2) (*.f64 (/.f64 1 t) 2)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(*.f64 (/.f64 l (neg.f64 t)) (sqrt.f64 1/2)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l)) |
(*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t)) |
(*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))) |
(+.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 0) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(+.f64 0 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(-.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 0) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(*.f64 1 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t))))) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 1) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(/.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 1) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 2) 2) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(/.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4) 4) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
(/.f64 (+.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4) (*.f64 (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) 4)) 8) |
(asin.f64 (neg.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l (neg.f64 t)))) |
Compiled 5940 to 4582 computations (22.9% saved)
23 alts after pruning (14 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 436 | 3 | 439 |
| Fresh | 3 | 11 | 14 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 9 | 9 |
| Total | 440 | 23 | 463 |
| Status | Error | Program |
|---|---|---|
| 42.6b | (asin.f64 (/.f64 (/.f64 (/.f64 1 t) (/.f64 1 l)) (/.f64 1 (sqrt.f64 1/2)))) | |
| 42.6b | (asin.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) t)) | |
| 42.5b | (asin.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 l))) | |
| ✓ | 41.7b | (asin.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l))) |
| 41.7b | (asin.f64 (/.f64 (/.f64 1 t) (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)))) | |
| 42.6b | (asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) | |
| 42.6b | (asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))) | |
| 41.7b | (asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) | |
| 42.6b | (asin.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))) | |
| 42.6b | (asin.f64 (/.f64 1 (/.f64 (/.f64 t l) (sqrt.f64 1/2)))) | |
| 38.4b | (asin.f64 (-.f64 1 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))) | |
| ✓ | 37.8b | (asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
| ✓ | 41.7b | (asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
| 41.7b | (asin.f64 (*.f64 (*.f64 (/.f64 1 t) (sqrt.f64 1/2)) (neg.f64 l))) | |
| ✓ | 41.7b | (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
| ✓ | 42.6b | (asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
| ✓ | 42.6b | (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
| 42.5b | (asin.f64 (*.f64 l (*.f64 (/.f64 1 t) (sqrt.f64 1/2)))) | |
| ✓ | 9.4b | (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| ✓ | 21.3b | (asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
| 47.2b | (asin.f64 (sqrt.f64 (*.f64 1/2 (*.f64 (pow.f64 l 2) (/.f64 1 (pow.f64 t 2)))))) | |
| 41.7b | (asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) | |
| ✓ | 33.6b | (asin.f64 1) |
Compiled 309 to 263 computations (14.9% saved)
| Inputs |
|---|
(asin.f64 1) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 l (*.f64 (/.f64 1 t) (sqrt.f64 1/2)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1)) |
(asin.f64 (/.f64 1 (/.f64 (/.f64 t l) (sqrt.f64 1/2)))) |
(asin.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l))) |
(asin.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 l))) |
(asin.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) t)) |
(asin.f64 (*.f64 (*.f64 (/.f64 1 t) (sqrt.f64 1/2)) (neg.f64 l))) |
(asin.f64 (/.f64 (/.f64 1 t) (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)))) |
(asin.f64 (/.f64 (/.f64 1 t) (/.f64 (/.f64 -1 (sqrt.f64 1/2)) l))) |
(asin.f64 (/.f64 (/.f64 1 t) (/.f64 (/.f64 1 (sqrt.f64 1/2)) l))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 4 (neg.f64 (/.f64 l t))))) |
(asin.f64 (/.f64 (/.f64 (/.f64 1 t) (/.f64 1 l)) (/.f64 1 (sqrt.f64 1/2)))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))) |
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (*.f64 (pow.f64 l 2) (/.f64 1 (pow.f64 t 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(asin.f64 (*.f64 l (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (/.f64 (sqrt.f64 1/2) t)))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 l t)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 l (neg.f64 (/.f64 (sqrt.f64 1/2) t))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2))))) |
(asin.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t)) (neg.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) |
(asin.f64 (*.f64 -1 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (/.f64 1 (/.f64 (/.f64 t l) (sqrt.f64 1/2))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 l)))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) t))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (*.f64 l (neg.f64 (*.f64 (/.f64 1 t) (sqrt.f64 1/2)))))) |
(asin.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)))) (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 t)) (/.f64 1/2 l)))) |
(asin.f64 (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))))) (*.f64 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2)) -1/2)))) |
| Outputs |
|---|
(asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) |
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
(asin.f64 (*.f64 l (*.f64 (/.f64 1 t) (sqrt.f64 1/2)))) |
14 calls:
| 39.0ms | (/.f64 t l) |
| 20.0ms | l |
| 19.0ms | (pow.f64 (/.f64 t l) 2) |
| 18.0ms | (*.f64 2 (pow.f64 (/.f64 t l) 2)) |
| 18.0ms | Om |
| Error | Segments | Branch |
|---|---|---|
| 9.4b | 1 | t |
| 9.4b | 1 | l |
| 9.4b | 1 | Om |
| 9.4b | 1 | Omc |
| 3.8b | 2 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) |
| 3.8b | 2 | (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))) |
| 3.8b | 2 | (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))) |
| 9.4b | 1 | (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) |
| 9.4b | 1 | (pow.f64 (/.f64 Om Omc) 2) |
| 9.4b | 1 | (/.f64 Om Omc) |
| 3.8b | 2 | (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))) |
| 3.8b | 2 | (*.f64 2 (pow.f64 (/.f64 t l) 2)) |
| 3.8b | 2 | (pow.f64 (/.f64 t l) 2) |
| 0.9b | 3 | (/.f64 t l) |
Compiled 730 to 572 computations (21.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.84141817375313e+26 | 1.3549289549173469e+32 |
| 0.0ms | -9.206993285562708e+56 | -1.6273220909593645e+45 |
Compiled 30 to 25 computations (16.7% saved)
| Inputs |
|---|
(asin.f64 1) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 l (*.f64 (/.f64 1 t) (sqrt.f64 1/2)))) |
(asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t) -1)) |
(asin.f64 (/.f64 1 (/.f64 (/.f64 t l) (sqrt.f64 1/2)))) |
(asin.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 -1 l))) |
(asin.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 l))) |
(asin.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (/.f64 1 l)) t)) |
(asin.f64 (*.f64 (*.f64 (/.f64 1 t) (sqrt.f64 1/2)) (neg.f64 l))) |
(asin.f64 (/.f64 (/.f64 1 t) (/.f64 -1 (*.f64 (sqrt.f64 1/2) l)))) |
(asin.f64 (/.f64 (/.f64 1 t) (/.f64 (/.f64 -1 (sqrt.f64 1/2)) l))) |
(asin.f64 (/.f64 (/.f64 1 t) (/.f64 (/.f64 1 (sqrt.f64 1/2)) l))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 4) (/.f64 4 (neg.f64 (/.f64 l t))))) |
(asin.f64 (/.f64 (/.f64 (/.f64 1 t) (/.f64 1 l)) (/.f64 1 (sqrt.f64 1/2)))) |
(asin.f64 (-.f64 1 (/.f64 (pow.f64 t 2) (pow.f64 l 2)))) |
(asin.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (pow.f64 l 2) (pow.f64 t 2))))) |
(asin.f64 (sqrt.f64 (-.f64 1 (/.f64 (pow.f64 Om 2) (pow.f64 Omc 2))))) |
(asin.f64 (sqrt.f64 (*.f64 1/2 (*.f64 (pow.f64 l 2) (/.f64 1 (pow.f64 t 2)))))) |
(asin.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 2 (/.f64 (pow.f64 t 2) (pow.f64 l 2))))))) |
| Outputs |
|---|
(asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) |
(asin.f64 1) |
(asin.f64 (*.f64 l (*.f64 (/.f64 1 t) (sqrt.f64 1/2)))) |
5 calls:
| 61.0ms | t |
| 59.0ms | l |
| 36.0ms | Om |
| 28.0ms | (/.f64 t l) |
| 13.0ms | Omc |
| Error | Segments | Branch |
|---|---|---|
| 15.2b | 5 | t |
| 14.3b | 5 | l |
| 20.1b | 3 | Om |
| 21.3b | 1 | Omc |
| 1.9b | 3 | (/.f64 t l) |
Compiled 311 to 240 computations (22.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5914695120432918 | 139831.08835608105 |
| 0.0ms | -220.69840231404396 | -0.001650889510729243 |
Compiled 30 to 25 computations (16.7% saved)
| Inputs |
|---|
(asin.f64 1) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (neg.f64 l) t))) |
(asin.f64 (*.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 l))) |
(asin.f64 (/.f64 (neg.f64 l) (/.f64 t (sqrt.f64 1/2)))) |
(asin.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
| Outputs |
|---|
(asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) |
(asin.f64 1) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
5 calls:
| 117.0ms | l |
| 103.0ms | Om |
| 52.0ms | Omc |
| 18.0ms | t |
| 15.0ms | (/.f64 t l) |
| Error | Segments | Branch |
|---|---|---|
| 19.6b | 3 | t |
| 18.2b | 7 | l |
| 25.9b | 9 | Om |
| 28.3b | 9 | Omc |
| 1.9b | 3 | (/.f64 t l) |
Compiled 117 to 86 computations (26.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5914695120432918 | 139831.08835608105 |
| 0.0ms | -220.69840231404396 | -0.001650889510729243 |
Compiled 30 to 25 computations (16.7% saved)
| Inputs |
|---|
(asin.f64 1) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
| Outputs |
|---|
(asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) |
(asin.f64 1) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
5 calls:
| 111.0ms | l |
| 40.0ms | Om |
| 37.0ms | Omc |
| 15.0ms | t |
| 11.0ms | (/.f64 t l) |
| Error | Segments | Branch |
|---|---|---|
| 19.6b | 3 | t |
| 18.2b | 7 | l |
| 25.9b | 9 | Om |
| 28.3b | 9 | Omc |
| 2.0b | 3 | (/.f64 t l) |
Compiled 76 to 58 computations (23.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5914695120432918 | 139831.08835608105 |
| 0.0ms | -220.69840231404396 | -0.001650889510729243 |
Compiled 30 to 25 computations (16.7% saved)
| Inputs |
|---|
(asin.f64 1) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))) |
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))) |
(asin.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t)) |
| Outputs |
|---|
(asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))) |
(asin.f64 1) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
5 calls:
| 89.0ms | Om |
| 20.0ms | l |
| 16.0ms | t |
| 16.0ms | Omc |
| 10.0ms | (/.f64 t l) |
| Error | Segments | Branch |
|---|---|---|
| 21.4b | 3 | t |
| 22.3b | 5 | l |
| 28.8b | 7 | Om |
| 31.9b | 3 | Omc |
| 13.5b | 3 | (/.f64 t l) |
Compiled 68 to 52 computations (23.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5914695120432918 | 139831.08835608105 |
| 0.0ms | -5.84350676205052e+219 | -1.314101307952377e+198 |
Compiled 30 to 25 computations (16.7% saved)
Total -41.3b remaining (-192.9%)
Threshold costs -41.3b (-192.9%)
| Inputs |
|---|
(asin.f64 1) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 (*.f64 (sqrt.f64 1/2) (/.f64 l t))) |
(asin.f64 (/.f64 l (/.f64 t (sqrt.f64 1/2)))) |
| Outputs |
|---|
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
(asin.f64 1) |
(asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) |
4 calls:
| 21.0ms | Om |
| 17.0ms | l |
| 13.0ms | t |
| 13.0ms | Omc |
| Error | Segments | Branch |
|---|---|---|
| 21.4b | 3 | t |
| 22.3b | 5 | l |
| 28.8b | 7 | Om |
| 31.9b | 3 | Omc |
Compiled 47 to 37 computations (21.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 4.0939114019970576e+95 | 4.3184503743083765e+95 |
| 27.0ms | -3.2924962572918066e+50 | -1.191519157629333e+41 |
| 28.0ms | 160× | body | 256 | valid |
Compiled 220 to 195 computations (11.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 535 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 t l) -500000000000000024173346057776829528764197422945257127936) (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) (if (<=.f64 (/.f64 t l) 1000000000000000013287555072) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (asin.f64 (*.f64 l (*.f64 (/.f64 1 t) (sqrt.f64 1/2)))))) |
(if (<=.f64 (/.f64 t l) -200) (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) (if (<=.f64 (/.f64 t l) 1) (asin.f64 1) (asin.f64 (*.f64 l (*.f64 (/.f64 1 t) (sqrt.f64 1/2)))))) |
(if (<=.f64 (/.f64 t l) -200) (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) (if (<=.f64 (/.f64 t l) 1) (asin.f64 1) (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))))) |
(if (<=.f64 (/.f64 t l) -200) (asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) (if (<=.f64 (/.f64 t l) 1) (asin.f64 1) (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))))) |
(if (<=.f64 (/.f64 t l) -4999999999999999982186210368447555070295488497982936555566635019853876691464555306308235805663605986147285271965158313518453714403689727987538495896636998448749816068246376395903778005238377855619279217973577406048370688) (asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))) (if (<=.f64 (/.f64 t l) 1) (asin.f64 1) (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))))) |
(if (<=.f64 t -74999999999999995337733663749259995410231069769728) (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) (if (<=.f64 t 420000000000000023313316655781970749419046536862082456496424316809353879149799762943533681475584) (asin.f64 1) (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))))) |
(asin.f64 1) |
| Outputs |
|---|
(if (<=.f64 (/.f64 t l) -500000000000000024173346057776829528764197422945257127936) (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) (if (<=.f64 (/.f64 t l) 1000000000000000013287555072) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2)))))) (asin.f64 (*.f64 l (*.f64 (/.f64 1 t) (sqrt.f64 1/2)))))) |
(if (<=.f64 (/.f64 t l) -200) (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) (if (<=.f64 (/.f64 t l) 1) (asin.f64 1) (asin.f64 (*.f64 l (*.f64 (/.f64 1 t) (sqrt.f64 1/2)))))) |
(if (<=.f64 (/.f64 t l) -200) (asin.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 l t)))) (if (<=.f64 (/.f64 t l) 1) (asin.f64 1) (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))))) |
(if (<=.f64 (/.f64 t l) -200) (asin.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) l) t))) (if (<=.f64 (/.f64 t l) 1) (asin.f64 1) (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))))) |
(if (<=.f64 (/.f64 t l) -4999999999999999982186210368447555070295488497982936555566635019853876691464555306308235805663605986147285271965158313518453714403689727987538495896636998448749816068246376395903778005238377855619279217973577406048370688) (asin.f64 (/.f64 (sqrt.f64 1/2) (/.f64 t l))) (if (<=.f64 (/.f64 t l) 1) (asin.f64 1) (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))))) |
(if (<=.f64 t -74999999999999995337733663749259995410231069769728) (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))) (if (<=.f64 t 420000000000000023313316655781970749419046536862082456496424316809353879149799762943533681475584) (asin.f64 1) (asin.f64 (*.f64 l (/.f64 (sqrt.f64 1/2) t))))) |
(asin.f64 1) |
Compiled 219 to 162 computations (26% saved)
| 2× | egg-herbie |
| 1142× | rational.json-simplify-2 |
| 1142× | rational.json-simplify-2 |
| 1032× | rational.json-simplify-35 |
| 1032× | rational.json-simplify-35 |
| 872× | rational.json-simplify-41 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 295 | 6378 |
| 1 | 647 | 6344 |
| 2 | 1265 | 6344 |
| 3 | 2566 | 6290 |
| 4 | 4684 | 6290 |
| 5 | 5902 | 6290 |
| 6 | 6699 | 6286 |
| 7 | 7983 | 6286 |
| 0 | 295 | 6378 |
| 1 | 647 | 6344 |
| 2 | 1265 | 6344 |
| 3 | 2566 | 6290 |
| 4 | 4684 | 6290 |
| 5 | 5902 | 6290 |
| 6 | 6699 | 6286 |
| 7 | 7983 | 6286 |
| 1× | node limit |
| 1× | node limit |
Compiled 66 to 50 computations (24.2% saved)
Compiled 195 to 130 computations (33.3% saved)
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