Toniolo and Linder, Equation (7)
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 |
| 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)
| 16.0ms | 93× | 1 | valid |
| 14.0ms | 158× | 0 | valid |
| 8.0ms | 48× | 1 | invalid |
| 7.0ms | 84× | 0 | invalid |
| 2.0ms | 9× | 2 | valid |
| 1.0ms | 3× | 2 | invalid |
ival-mult: 11.0ms (29.4% of total)ival-sqrt: 6.0ms (16% of total)ival-sub: 5.0ms (13.4% of total)ival-div: 5.0ms (13.4% of total)adjust: 5.0ms (13.4% of total)ival-add: 5.0ms (13.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 123 | 0 | - | 33 | (1.032799938809961e+213 -4.9012666317860425e+261 58298533547151840.0) | (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 | 5 | (2.7186609946926443e+196 2.5913458605949925e-74 3.3964571907694643e-193) | 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 | 83 | 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 | 83 | |
| ↳ | (*.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 | 120 | |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 t t)) | overflow | 86 | |
| ↳ | (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) | overflow | 120 | |
| ↳ | (*.f64 t t) | overflow | 86 | |
| ↳ | (*.f64 l l) | overflow | 94 | |
-.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 | 57 | 0 |
-.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 | 47 | 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 | 120 | |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 t t)) | overflow | 86 | |
| ↳ | (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) | overflow | 120 | |
| ↳ | (*.f64 t t) | overflow | 86 | |
| ↳ | (*.f64 l l) | overflow | 47 | |
| ↳ | (*.f64 l l) | overflow | 47 | |
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 | 7 | 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 | 101 | |
| ↳ | (*.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 | 13 | |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 t t)) | underflow | 51 | |
| ↳ | (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) | underflow | 13 | |
| ↳ | (*.f64 t t) | underflow | 51 | |
| ↳ | (*.f64 l l) | underflow | 116 | |
| ↳ | (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))) | underflow | 94 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 184 | 6 |
| - | 0 | 66 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 184 | 0 | 6 |
| - | 0 | 0 | 66 |
| number | freq |
|---|---|
| 0 | 72 |
| 1 | 174 |
| 2 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 213.0ms | 1 092× | 1 | valid |
| 195.0ms | 1 872× | 0 | valid |
| 30.0ms | 108× | 2 | valid |
Compiled 5 064 to 888 computations (82.5% saved)
ival-mult: 85.0ms (28.9% of total)ival-sqrt: 47.0ms (16% of total)ival-div: 46.0ms (15.6% of total)ival-add: 38.0ms (12.9% of total)ival-sub: 36.0ms (12.2% of total)adjust: 36.0ms (12.2% of total)exact: 3.0ms (1% of total)ival-true: 2.0ms (0.7% of total)ival-assert: 1.0ms (0.3% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 250 |
| 1 | 221 | 248 |
| 2 | 650 | 246 |
| 3 | 2219 | 246 |
| 4 | 7024 | 246 |
| 0 | 18 | 27 |
| 0 | 31 | 27 |
| 1 | 58 | 27 |
| 2 | 113 | 27 |
| 3 | 212 | 27 |
| 4 | 437 | 27 |
| 5 | 990 | 27 |
| 6 | 2266 | 27 |
| 7 | 5077 | 27 |
| 0 | 8183 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.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)))) |
| Outputs |
|---|
(/.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)))) |
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 l l))))) |
(abs l)
(negabs t)
Compiled 27 to 18 computations (33.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| 27.9% | (/.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)))) |
Compiled 54 to 36 computations (33.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 27 |
| 1 | 33 | 27 |
| 2 | 43 | 27 |
| 3 | 52 | 27 |
| 4 | 65 | 27 |
| 5 | 82 | 27 |
| 1× | saturated |
| Inputs |
|---|
(/.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)))) |
| Outputs |
|---|
(/.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)))) |
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 l l)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)))) |
| 1× | fuel |
Compiled 27 to 18 computations (33.3% saved)
(negabs t)
(abs l)
Compiled 324 to 216 computations (33.3% saved)
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