The quadratic formula (r1)
Time bar (total: 2.4s)
| 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% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 16 computations (15.8% saved)
| 595.0ms | 5 544× | 0 | valid |
| 366.0ms | 1 177× | 2 | valid |
| 300.0ms | 1 333× | 1 | valid |
| 85.0ms | 941× | 0 | invalid |
| 57.0ms | 202× | 3 | valid |
ival-mult: 371.0ms (37.4% of total)ival-sqrt: 189.0ms (19% of total)adjust: 142.0ms (14.3% of total)ival-div: 97.0ms (9.8% of total)ival-add: 64.0ms (6.4% of total)ival-sub: 62.0ms (6.2% of total)ival-neg: 56.0ms (5.6% of total)exact: 9.0ms (0.9% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 109 | 0 | - | 2 | (-2.4432719724847344e-217 4.78026678054144e-160 4.0771206139906554e-212) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 52 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 18 | 0 | - | 3 | (6.550699131196803e-280 2.4101520945385682e+126 -5.323347205362785e+94) | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 2 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | oflow-rescue | 103 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 103 | |
| ↳ | (*.f64 #s(literal 4 binary64) a) | overflow | 1 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 31 | |
| ↳ | (*.f64 b b) | overflow | 78 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 52 | 0 |
/.f64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | u/n | 15 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 4 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 27 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 33 | |
| ↳ | (*.f64 b b) | underflow | 38 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | uflow-rescue | 4 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 4 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 33 | |
| ↳ | (*.f64 b b) | underflow | 38 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 b b) | overflow | 78 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 31 | |
| ↳ | (*.f64 #s(literal 4 binary64) a) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 135 | 0 |
| - | 17 | 104 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 135 | 0 | 0 |
| - | 17 | 0 | 104 |
| number | freq |
|---|---|
| 0 | 104 |
| 1 | 129 |
| 2 | 22 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 43.0ms | 354× | 0 | valid |
| 22.0ms | 72× | 2 | valid |
| 13.0ms | 70× | 1 | valid |
| 5.0ms | 16× | 3 | valid |
Compiled 161 to 46 computations (71.4% saved)
ival-mult: 16.0ms (35.5% of total)adjust: 7.0ms (15.5% of total)ival-sqrt: 6.0ms (13.3% of total)ival-div: 5.0ms (11.1% of total)ival-sub: 4.0ms (8.9% of total)ival-add: 4.0ms (8.9% of total)ival-neg: 2.0ms (4.4% of total)exact: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 175 |
| 1 | 190 | 168 |
| 2 | 531 | 168 |
| 3 | 1087 | 167 |
| 4 | 2253 | 160 |
| 5 | 6071 | 160 |
| 0 | 20 | 21 |
| 0 | 28 | 21 |
| 1 | 30 | 21 |
| 2 | 33 | 21 |
| 3 | 38 | 21 |
| 4 | 58 | 21 |
| 5 | 134 | 21 |
| 6 | 587 | 21 |
| 7 | 4701 | 21 |
| 0 | 8434 | 21 |
| 1× | saturated |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
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