Bouland and Aaronson, Equation (25)
Time bar (total: 1.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 33 to 20 computations (39.4% saved)
| 954.0ms | 8 256× | 0 | valid |
ival-mult: 318.0ms (45.9% of total)ival-add: 156.0ms (22.5% of total)ival-pow2: 102.0ms (14.7% of total)ival-sub: 101.0ms (14.6% of total)exact: 11.0ms (1.6% of total)adjust: 3.0ms (0.4% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 43 | 0 | - | 0 | - | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) |
| 35 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) |
| 15 | 0 | - | 1 | (7.348300865479231e+288 1.7522457492472069e-155) | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) |
| 0 | 0 | - | 0 | - | (*.f64 a a) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 a a) (*.f64 b b)) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) a) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) | nan-rescue | 43 | 0 |
| ↳ | (*.f64 b b) | overflow | 59 | |
| ↳ | (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) | overflow | 149 | |
| ↳ | (*.f64 a a) | overflow | 55 | |
| ↳ | (+.f64 (*.f64 a a) (*.f64 b b)) | overflow | 100 | |
| ↳ | (*.f64 b b) | overflow | 59 | |
| ↳ | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | overflow | 75 | |
| ↳ | (*.f64 a a) | overflow | 55 | |
| ↳ | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | overflow | 77 | |
| ↳ | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | overflow | 117 | |
| ↳ | (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))) | overflow | 117 | |
+.f64 | (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))) | nan-rescue | 35 | 0 |
| ↳ | (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) | overflow | 75 | |
| ↳ | (*.f64 a a) | overflow | 55 | |
| ↳ | (*.f64 b b) | overflow | 59 | |
| ↳ | (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))) | overflow | 77 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 60 | 0 |
| - | 0 | 196 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 60 | 0 | 0 |
| - | 0 | 0 | 196 |
| number | freq |
|---|---|
| 0 | 196 |
| 1 | 42 |
| 2 | 18 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 60.0ms | 478× | 0 | valid |
| 7.0ms | 18× | 2 | valid |
| 4.0ms | 16× | 1 | valid |
Compiled 337 to 61 computations (81.9% saved)
ival-mult: 22.0ms (47% of total)ival-add: 9.0ms (19.2% of total)ival-sub: 5.0ms (10.7% of total)ival-pow2: 5.0ms (10.7% of total)adjust: 4.0ms (8.5% of total)exact: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 192 |
| 1 | 210 | 188 |
| 2 | 918 | 188 |
| 3 | 4668 | 188 |
| 0 | 19 | 31 |
| 0 | 32 | 31 |
| 1 | 83 | 31 |
| 2 | 340 | 31 |
| 3 | 1795 | 31 |
| 4 | 7986 | 31 |
| 0 | 8007 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
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