Migdal et al, Equation (51)
Time bar (total: 3.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 50% | 0.1% | 0% | 50% | 0% | 2 |
| 50% | 25% | 25% | 0.1% | 0% | 50% | 0% | 3 |
| 50% | 25% | 25% | 0.1% | 0% | 50% | 0% | 4 |
| 50% | 25% | 25% | 0.1% | 0% | 50% | 0% | 5 |
| 50% | 25% | 25% | 0.1% | 0% | 50% | 0% | 6 |
| 51.6% | 25% | 23.4% | 0.1% | 0% | 51.5% | 0% | 7 |
| 52.5% | 25% | 22.6% | 0.1% | 0% | 52.3% | 0% | 8 |
| 53.8% | 25% | 21.5% | 0.1% | 0% | 53.5% | 0% | 9 |
| 54.5% | 25% | 20.9% | 0.1% | 0% | 54% | 0% | 10 |
| 55.3% | 25% | 20.2% | 0.1% | 0% | 54.7% | 0% | 11 |
| 55.7% | 25% | 19.9% | 0.1% | 0% | 55.1% | 0% | 12 |
Compiled 18 to 15 computations (16.7% saved)
| 939.0ms | 4 498× | 1 | invalid |
| 936.0ms | 8 255× | 0 | valid |
| 794.0ms | 1 483× | 2 | invalid |
| 31.0ms | 388× | 0 | invalid |
| 26.0ms | 232× | 0 | exit |
| 0.0ms | 1× | 1 | valid |
ival-pow: 454.0ms (25.1% of total)ival-mult: 443.0ms (24.5% of total)ival-div: 342.0ms (18.9% of total)ival-sqrt: 169.0ms (9.3% of total)adjust: 165.0ms (9.1% of total)ival-sub: 123.0ms (6.8% of total)ival-pi: 88.0ms (4.9% of total)exact: 22.0ms (1.2% of total)ival-assert: 6.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 3 | 84 | (5.831372515869524e-266 1.8017112418244757e+93) | 0 | - | (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | k |
| 0 | 0 | - | 0 | - | n |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) |
| 0 | 0 | - | 0 | - | (sqrt.f64 k) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) k) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (PI.f64)) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
pow.f64 | (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) | sensitivity | 87 | 19 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3 | 0 |
| - | 84 | 169 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3 | 0 | 0 |
| - | 84 | 19 | 150 |
| number | freq |
|---|---|
| 0 | 169 |
| 1 | 87 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 53.0ms | 512× | 0 | valid |
Compiled 128 to 43 computations (66.4% saved)
ival-mult: 10.0ms (27.8% of total)ival-pow: 10.0ms (27.8% of total)ival-div: 7.0ms (19.5% of total)ival-sqrt: 4.0ms (11.1% of total)ival-sub: 3.0ms (8.4% of total)ival-pi: 2.0ms (5.6% of total)exact: 1.0ms (2.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 104 |
| 1 | 76 | 90 |
| 2 | 162 | 88 |
| 3 | 382 | 88 |
| 4 | 1615 | 88 |
| 0 | 13 | 16 |
| 0 | 22 | 16 |
| 1 | 37 | 14 |
| 2 | 58 | 14 |
| 3 | 136 | 14 |
| 4 | 533 | 14 |
| 5 | 3201 | 14 |
| 0 | 8098 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
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