Toniolo and Linder, Equation (7)
Time bar (total: 3.7s)
| 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 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 7 |
| 0% | 0% | 74.9% | 0.1% | 0% | 25% | 0% | 8 |
| 4.2% | 3.1% | 71.8% | 0.1% | 0% | 25% | 0% | 9 |
| 6.3% | 4.7% | 70.2% | 0.1% | 0% | 25% | 0% | 10 |
| 11.3% | 7% | 55.4% | 0.1% | 0% | 37.4% | 0% | 11 |
| 16.9% | 10.5% | 51.9% | 0.1% | 0% | 37.4% | 0% | 12 |
Compiled 29 to 20 computations (31% saved)
| 632.0ms | 2 782× | 1 | valid |
| 602.0ms | 5 260× | 0 | valid |
| 410.0ms | 1 747× | 1 | invalid |
| 356.0ms | 2 599× | 0 | invalid |
| 68.0ms | 214× | 2 | valid |
| 35.0ms | 98× | 2 | invalid |
ival-mult: 491.0ms (29.4% of total)ival-sqrt: 294.0ms (17.6% of total)adjust: 266.0ms (15.9% of total)ival-div: 230.0ms (13.8% of total)ival-add: 194.0ms (11.6% of total)ival-sub: 172.0ms (10.3% of total)exact: 16.0ms (1% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 112 | 0 | - | 2 | (1.1083242859821928e+43 1.5633598461766965e-217 -3.177819780282301e-161) | (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))) |
| 99 | 0 | - | 0 | - | (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (*.f64 t t)) |
| 0 | 0 | - | 0 | - | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 l l) |
| 0 | 0 | - | 0 | - | (sqrt.f64 #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
| 0 | 0 | - | 0 | - | (*.f64 t t) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | l |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))) | oflow-rescue | 81 | 0 |
| ↳ | (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) | overflow | 81 | |
| ↳ | (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) | overflow | 99 | |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 t t)) | overflow | 67 | |
| ↳ | (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) | overflow | 99 | |
| ↳ | (*.f64 t t) | overflow | 66 | |
| ↳ | (*.f64 l l) | overflow | 100 | |
-.f64 | (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) | nan-rescue | 50 | 0 |
| ↳ | (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) | overflow | 99 | |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 t t)) | overflow | 67 | |
| ↳ | (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) | overflow | 99 | |
| ↳ | (*.f64 t t) | overflow | 66 | |
| ↳ | (*.f64 l l) | overflow | 50 | |
| ↳ | (*.f64 l l) | overflow | 50 | |
-.f64 | (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) | cancellation | 49 | 0 |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))) | uflow-rescue | 29 | 0 |
| ↳ | (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) | underflow | 29 | |
| ↳ | (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) | underflow | 23 | |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 t t)) | underflow | 56 | |
| ↳ | (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) | underflow | 23 | |
| ↳ | (*.f64 t t) | underflow | 56 | |
| ↳ | (*.f64 l l) | underflow | 134 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 176 | 2 |
| - | 1 | 77 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 176 | 0 | 2 |
| - | 1 | 0 | 77 |
| number | freq |
|---|---|
| 0 | 79 |
| 1 | 145 |
| 2 | 32 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 55.0ms | 206× | 1 | valid |
| 54.0ms | 302× | 0 | valid |
| 1.0ms | 4× | 2 | valid |
Compiled 293 to 58 computations (80.2% saved)
ival-mult: 29.0ms (38.6% of total)ival-sub: 11.0ms (14.6% of total)adjust: 10.0ms (13.3% of total)ival-div: 8.0ms (10.6% of total)ival-sqrt: 8.0ms (10.6% of total)ival-add: 7.0ms (9.3% of total)exact: 1.0ms (1.3% 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 | 71 | 277 |
| 1 | 240 | 277 |
| 2 | 1005 | 277 |
| 3 | 5590 | 277 |
| 0 | 18 | 27 |
| 0 | 31 | 27 |
| 1 | 69 | 27 |
| 2 | 243 | 27 |
| 3 | 1253 | 27 |
| 4 | 6639 | 27 |
| 0 | 8479 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
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