Eccentricity of an ellipse
Time bar (total: 1.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 37.5% | 62.5% | 0% | 0% | 0% | 0 |
| 0% | 0% | 37.5% | 62.5% | 0% | 0% | 0% | 1 |
| 0% | 0% | 18.7% | 62.5% | 0% | 18.7% | 0% | 2 |
| 0% | 0% | 9.4% | 62.5% | 0% | 28.1% | 0% | 3 |
| 0% | 0% | 9.4% | 62.5% | 0% | 28.1% | 0% | 4 |
| 0% | 0% | 7% | 62.5% | 0% | 30.4% | 0% | 5 |
| 20% | 1.2% | 4.7% | 62.5% | 0% | 31.6% | 0% | 6 |
| 25% | 1.2% | 3.5% | 62.5% | 0% | 32.8% | 0% | 7 |
| 40% | 1.8% | 2.6% | 62.5% | 0% | 33.1% | 0% | 8 |
| 51.9% | 2% | 1.9% | 62.5% | 0% | 33.5% | 0% | 9 |
| 64.7% | 2.4% | 1.3% | 62.5% | 0% | 33.7% | 0% | 10 |
| 72.9% | 2.6% | 1% | 62.5% | 0% | 33.9% | 0% | 11 |
| 80.2% | 2.7% | 0.7% | 62.5% | 0% | 34% | 0% | 12 |
Compiled 25 to 16 computations (36% saved)
| 17.0ms | 260× | 0 | valid |
| 2.0ms | 26× | 0 | invalid |
ival-mult: 4.0ms (32.9% of total)ival-sqrt: 2.0ms (16.4% of total)ival-<=: 2.0ms (16.4% of total)ival-div: 1.0ms (8.2% of total)ival-fabs: 1.0ms (8.2% of total)ival-sub: 1.0ms (8.2% of total)ival-and: 1.0ms (8.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 48 | 0 | - | 0 | - | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| 0 | 0 | - | 0 | - | (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 a a) (*.f64 b b)) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) | u/u | 48 | 0 |
| ↳ | (*.f64 b b) | underflow | 188 | |
| ↳ | (-.f64 (*.f64 a a) (*.f64 b b)) | underflow | 48 | |
| ↳ | (*.f64 a a) | underflow | 48 | |
| ↳ | (*.f64 a a) | underflow | 48 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 48 | 0 |
| - | 0 | 208 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 48 | 0 | 0 |
| - | 0 | 0 | 208 |
| number | freq |
|---|---|
| 0 | 208 |
| 1 | 48 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 377.0ms | 6 144× | 0 | valid |
Compiled 2 040 to 432 computations (78.8% saved)
ival-mult: 81.0ms (38% of total)ival-sqrt: 36.0ms (16.9% of total)ival-div: 34.0ms (15.9% of total)ival-fabs: 28.0ms (13.1% of total)ival-sub: 25.0ms (11.7% of total)ival-true: 5.0ms (2.3% of total)adjust: 2.0ms (0.9% of total)ival-assert: 2.0ms (0.9% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 67 |
| 1 | 85 | 57 |
| 2 | 338 | 57 |
| 3 | 2529 | 57 |
| 4 | 6437 | 57 |
| 0 | 8 | 13 |
| 0 | 14 | 13 |
| 1 | 30 | 11 |
| 2 | 75 | 11 |
| 3 | 199 | 11 |
| 4 | 482 | 11 |
| 5 | 1723 | 11 |
| 6 | 5645 | 11 |
| 0 | 8181 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))) |
(abs b)
(abs a)
Compiled 13 to 8 computations (38.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| 81.2% | (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
Compiled 26 to 16 computations (38.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 16 | 13 |
| 2 | 28 | 13 |
| 3 | 37 | 13 |
| 4 | 45 | 13 |
| 5 | 49 | 13 |
| 6 | 51 | 13 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| Outputs |
|---|
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)))) |
| 1× | fuel |
Compiled 13 to 8 computations (38.5% saved)
(abs a)
(abs b)
Compiled 156 to 96 computations (38.5% saved)
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