sqrtexp (problem 3.4.4)
Time bar (total: 1.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 14 to 9 computations (35.7% saved)
| 12.0ms | 260× | 0 | valid |
| 4.0ms | 84× | 0 | exit |
ival-expm1: 3.0ms (29.5% of total)ival-div: 2.0ms (19.6% of total)ival-mult: 2.0ms (19.6% of total)ival-sqrt: 2.0ms (19.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 162 | 0 | - | 0 | - | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) |
| 162 | 0 | - | 0 | - | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 4 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 1 | 0 | - | 0 | - | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 #s(literal 2 binary64) x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | cancellation | 162 | 0 |
-.f64 | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) | cancellation | 162 | 0 |
/.f64 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) | o/o | 4 | 0 |
| ↳ | (exp.f64 (*.f64 #s(literal 2 binary64) x)) | overflow | 4 | |
| ↳ | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) | overflow | 4 | |
| ↳ | (exp.f64 x) | overflow | 4 | |
| ↳ | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | overflow | 4 | |
sqrt.f64 | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) | oflow-rescue | 1 | 0 |
| ↳ | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) | overflow | 4 | |
| ↳ | (exp.f64 (*.f64 #s(literal 2 binary64) x)) | overflow | 4 | |
| ↳ | (exp.f64 x) | overflow | 4 | |
| ↳ | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | overflow | 4 | |
| ↳ | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) | overflow | 4 | |
| ↳ | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) | overflow | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 166 | 0 |
| - | 0 | 90 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 166 | 0 | 0 |
| - | 0 | 0 | 90 |
| number | freq |
|---|---|
| 0 | 90 |
| 1 | 3 |
| 2 | 163 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 201.0ms | 3 072× | 0 | valid |
Compiled 1 788 to 504 computations (71.8% saved)
ival-exp: 36.0ms (27.7% of total)ival-expm1: 31.0ms (23.8% of total)ival-mult: 20.0ms (15.4% of total)ival-div: 19.0ms (14.6% of total)ival-sqrt: 18.0ms (13.8% of total)exact: 3.0ms (2.3% of total)ival-true: 2.0ms (1.5% of total)ival-assert: 1.0ms (0.8% of total)| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 29 |
| 1 | 32 | 27 |
| 2 | 55 | 27 |
| 3 | 89 | 27 |
| 4 | 143 | 13 |
| 5 | 250 | 13 |
| 6 | 513 | 13 |
| 7 | 2039 | 13 |
| 8 | 7136 | 13 |
| 0 | 10 | 12 |
| 0 | 17 | 12 |
| 1 | 29 | 12 |
| 2 | 35 | 12 |
| 3 | 47 | 12 |
| 4 | 73 | 7 |
| 5 | 126 | 5 |
| 6 | 203 | 5 |
| 7 | 606 | 5 |
| 8 | 2926 | 5 |
| 9 | 6783 | 5 |
| 0 | 8197 | 5 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(sqrt.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
Compiled 12 to 10 computations (16.7% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| 37.2% | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
Compiled 24 to 20 computations (16.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 12 |
| 1 | 17 | 12 |
| 2 | 22 | 12 |
| 3 | 25 | 12 |
| 4 | 28 | 12 |
| 5 | 32 | 12 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| 1× | fuel |
Compiled 12 to 10 computations (16.7% saved)
Compiled 48 to 40 computations (16.7% saved)
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