Equirectangular approximation to distance on a great circle
Time bar (total: 1.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 100% | 99.8% | 0% | 0.2% | 0% | 0% | 0% | 1 |
Compiled 34 to 16 computations (52.9% saved)
| 690.0ms | 6 442× | 0 | valid |
| 420.0ms | 1 814× | 1 | valid |
ival-hypot: 169.0ms (20.6% of total)ival-div: 143.0ms (17.4% of total)ival-mult: 127.0ms (15.5% of total)ival-cos: 122.0ms (14.8% of total)ival-sub: 118.0ms (14.4% of total)adjust: 80.0ms (9.7% of total)ival-add: 54.0ms (6.6% of total)exact: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 176 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) |
| 52 | 138 | (6.073636348979847e-17 6.947180726169075e-8 2.1788052402726058e-232 2.243695763253903e+65 2.2535108584550506e-169) | 0 | - | (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | lambda2 |
| 0 | 0 | - | 0 | - | (+.f64 phi1 phi2) |
| 0 | 0 | - | 0 | - | phi2 |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) |
| 0 | 0 | - | 0 | - | (-.f64 lambda1 lambda2) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) |
| 0 | 0 | - | 0 | - | R |
| 0 | 0 | - | 0 | - | lambda1 |
| 0 | 0 | - | 0 | - | phi1 |
| 0 | 0 | - | 0 | - | (*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 phi1 phi2) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))) | sensitivity | 190 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) | oflow-rescue | 175 | 0 |
| ↳ | (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) | overflow | 109 | |
| ↳ | (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) | overflow | 121 | |
| ↳ | (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) | overflow | 175 | |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))) | uflow-rescue | 1 | 0 |
| ↳ | (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)) | underflow | 13 | |
| ↳ | (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) | underflow | 9 | |
| ↳ | (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64)))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) #s(literal 2 binary64))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))) | underflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 111 | 0 |
| - | 106 | 39 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 111 | 0 | 0 |
| - | 106 | 0 | 39 |
| number | freq |
|---|---|
| 0 | 39 |
| 1 | 68 |
| 2 | 149 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 151.0ms | 376× | 1 | valid |
| 19.0ms | 136× | 0 | valid |
Compiled 346 to 55 computations (84.1% saved)
ival-mult: 39.0ms (28.8% of total)ival-cos: 26.0ms (19.2% of total)adjust: 25.0ms (18.5% of total)ival-add: 15.0ms (11.1% of total)ival-hypot: 14.0ms (10.4% of total)ival-sub: 9.0ms (6.7% of total)ival-div: 6.0ms (4.4% of total)ival-true: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 701 |
| 1 | 503 | 701 |
| 2 | 1661 | 701 |
| 3 | 5246 | 701 |
| 0 | 17 | 32 |
| 0 | 28 | 32 |
| 1 | 60 | 32 |
| 2 | 163 | 32 |
| 3 | 463 | 32 |
| 4 | 1268 | 32 |
| 5 | 3278 | 32 |
| 0 | 8254 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
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