Quadratic roots, medium range
Time bar (total: 6.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 6.8% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 15.9% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 23.1% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 36.5% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 45.4% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 52.3% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 28 computations (31.7% saved)
| 26.0ms | 163× | 1 | valid |
| 10.0ms | 97× | 0 | valid |
| 6.0ms | 58× | 0 | invalid |
ival-mult: 7.0ms (21.4% of total)const: 6.0ms (18.3% of total)adjust: 4.0ms (12.2% of total)ival-div: 3.0ms (9.2% of total)ival-sqrt: 3.0ms (9.2% of total)ival-<: 3.0ms (9.2% of total)ival-sub: 2.0ms (6.1% of total)ival-add: 2.0ms (6.1% of total)ival-and: 1.0ms (3.1% of total)ival-neg: 1.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 237 | 4 | (1.3315205067760928e-10 1.062463771227515e-6 1.8718472698740443e-5) | 2 | (2678061.1844553035 0.016424149462713946 6.409448415982473e-13) | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 1 | 0 | - | 1 | (61376951758.962875 3425744599686.418 45589370205676.35) | (-.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 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 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 |
| 0 | 0 | - | 0 | - | (/.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)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 239 | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 235 | 2 |
| - | 4 | 15 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 235 | 2 | 0 |
| - | 4 | 1 | 14 |
| number | freq |
|---|---|
| 0 | 17 |
| 1 | 239 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 2.1s | 14 580× | 1 | valid |
| 691.0ms | 8 460× | 0 | valid |
Compiled 10 395 to 2 700 computations (74% saved)
ival-mult: 554.0ms (31.3% of total)adjust: 256.0ms (14.5% of total)ival-sqrt: 246.0ms (13.9% of total)ival-div: 232.0ms (13.1% of total)ival-sub: 173.0ms (9.8% of total)ival-add: 165.0ms (9.3% of total)ival-neg: 96.0ms (5.4% of total)exact: 21.0ms (1.2% of total)ival-true: 16.0ms (0.9% of total)ival-assert: 8.0ms (0.5% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 158 |
| 1 | 162 | 144 |
| 2 | 463 | 144 |
| 3 | 1233 | 144 |
| 4 | 3210 | 144 |
| 5 | 6057 | 144 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 40 | 16 |
| 2 | 77 | 16 |
| 3 | 160 | 16 |
| 4 | 240 | 16 |
| 5 | 381 | 16 |
| 6 | 662 | 16 |
| 7 | 1129 | 16 |
| 8 | 2243 | 16 |
| 9 | 2519 | 16 |
| 10 | 2629 | 16 |
| 11 | 2684 | 16 |
| 12 | 2685 | 16 |
| 13 | 2685 | 16 |
| 14 | 2691 | 16 |
| 0 | 2691 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.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)) |
| Outputs |
|---|
(/.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)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
Compiled 17 to 14 computations (17.6% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| 32.8% | (/.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)) |
Compiled 34 to 28 computations (17.6% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 17 |
| 1 | 27 | 16 |
| 2 | 46 | 16 |
| 3 | 57 | 16 |
| 4 | 65 | 16 |
| 5 | 68 | 16 |
| 1× | saturated |
| Inputs |
|---|
(/.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)) |
| Outputs |
|---|
(/.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)) |
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) |
| 1× | fuel |
Compiled 16 to 13 computations (18.8% saved)
Compiled 66 to 54 computations (18.2% saved)
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