The quadratic formula (r2)
Time bar (total: 2.3s)
| 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)
| 525.0ms | 5 473× | 0 | valid |
| 303.0ms | 1 233× | 2 | valid |
| 265.0ms | 1 362× | 1 | valid |
| 80.0ms | 941× | 0 | invalid |
| 61.0ms | 188× | 3 | valid |
ival-mult: 317.0ms (34.4% of total)ival-sub: 197.0ms (21.4% of total)adjust: 122.0ms (13.3% of total)ival-sqrt: 112.0ms (12.2% of total)ival-div: 103.0ms (11.2% of total)ival-neg: 56.0ms (6.1% of total)exact: 10.0ms (1.1% 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 #s(literal 4 binary64) (*.f64 a c)))) |
| 71 | 0 | - | 0 | - | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| 10 | 0 | - | 2 | (2.025909047845934e-295 -2.8046351290603677e-61 -1.7053456628963234e-79) | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 2 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (*.f64 a c)) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 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 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | oflow-rescue | 103 | 0 |
| ↳ | (*.f64 b b) | overflow | 78 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 31 | |
| ↳ | (*.f64 a c) | overflow | 31 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | overflow | 103 | |
-.f64 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | cancellation | 71 | 0 |
/.f64 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) | u/n | 8 | 0 |
| ↳ | (*.f64 b b) | underflow | 38 | |
| ↳ | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | underflow | 18 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 33 | |
| ↳ | (*.f64 a c) | underflow | 33 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 4 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | uflow-rescue | 4 | 0 |
| ↳ | (*.f64 b b) | underflow | 38 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 33 | |
| ↳ | (*.f64 a c) | underflow | 33 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 4 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 b b) | overflow | 78 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 31 | |
| ↳ | (*.f64 a c) | overflow | 31 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 135 | 2 |
| - | 13 | 106 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 135 | 0 | 2 |
| - | 13 | 0 | 106 |
| number | freq |
|---|---|
| 0 | 108 |
| 1 | 109 |
| 2 | 38 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 100.0ms | 334× | 0 | valid |
| 21.0ms | 80× | 2 | valid |
| 17.0ms | 92× | 1 | valid |
| 2.0ms | 6× | 3 | valid |
Compiled 161 to 46 computations (71.4% saved)
ival-mult: 87.0ms (75.1% of total)ival-sub: 7.0ms (6% of total)adjust: 7.0ms (6% of total)ival-div: 6.0ms (5.2% of total)ival-sqrt: 6.0ms (5.2% of total)ival-neg: 2.0ms (1.7% of total)exact: 1.0ms (0.9% 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 | 64 | 175 |
| 1 | 182 | 168 |
| 2 | 453 | 168 |
| 3 | 989 | 168 |
| 4 | 1909 | 168 |
| 5 | 5156 | 168 |
| 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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