Numeric.Log:$cexpm1 from log-domain-0.10.2.1, A
Time bar (total: 4.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 7 to 6 computations (14.3% saved)
| 1.3s | 8 256× | 0 | valid |
ival-mult: 438.0ms (97.2% of total)ival-true: 5.0ms (1.1% of total)exact: 4.0ms (0.9% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x #s(literal 2 binary64)) x) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 20.0ms | 512× | 0 | valid |
Compiled 39 to 20 computations (48.7% saved)
ival-mult: 7.0ms (93.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 23 | 10 |
| 2 | 63 | 10 |
| 3 | 164 | 10 |
| 4 | 216 | 10 |
| 5 | 228 | 10 |
| 0 | 4 | 5 |
| 0 | 6 | 5 |
| 1 | 9 | 5 |
| 2 | 12 | 5 |
| 0 | 12 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(abs x)
Compiled 5 to 4 computations (20% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (*.f64 x #s(literal 2 binary64)) x) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 2 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 10 |
| 1 | 9 | 10 |
| 2 | 12 | 10 |
| 0 | 12 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (*.f64 x #s(literal 2 binary64)) x) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) |
| 9.0ms | 256× | 0 | valid |
Compiled 22 to 10 computations (54.5% saved)
ival-mult: 3.0ms (86.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((* (* x 2) x) (* x 2)) |
| 1.0ms | x | @ | inf | ((* (* x 2) x) (* x 2)) |
| 1.0ms | x | @ | -inf | ((* (* x 2) x) (* x 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 96 |
| 1 | 8 | 96 |
| 2 | 10 | 96 |
| 0 | 10 | 96 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
| Outputs |
|---|
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 6 |
| 1 | 9 | 6 |
| 2 | 12 | 6 |
| 3 | 13 | 6 |
| 4 | 20 | 6 |
| 5 | 36 | 6 |
| 6 | 92 | 6 |
| 7 | 279 | 2 |
| 8 | 1686 | 2 |
| 9 | 1711 | 2 |
| 10 | 1834 | 2 |
| 11 | 3049 | 2 |
| 0 | 8392 | 2 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(*.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
Compiled 244 to 11 computations (95.5% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 24 | 2 | 26 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 24 | 3 | 27 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (*.f64 x #s(literal 2 binary64)) x) |
| ▶ | 7.0% | (*.f64 #s(literal 2 binary64) x) |
| ▶ | 4.3% | #s(literal 2 binary64) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 6 |
| 0 | 4 | 6 |
| 1 | 5 | 6 |
| 0 | 5 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
| Outputs |
|---|
#s(literal 2 binary64) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 2 binary64) x) |
| 7.0ms | 256× | 0 | valid |
Compiled 14 to 8 computations (42.9% saved)
ival-mult: 2.0ms (96% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | ((* 2 x)) |
| 0.0ms | x | @ | -inf | ((* 2 x)) |
| 0.0ms | x | @ | 0 | ((* 2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 36 |
| 1 | 4 | 36 |
| 0 | 4 | 36 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 3 |
| 0 | 4 | 3 |
| 1 | 5 | 3 |
| 0 | 5 | 3 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
Compiled 90 to 7 computations (92.2% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 14 | 0 | 14 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 1 | 1 |
| Total | 14 | 3 | 17 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (*.f64 x #s(literal 2 binary64)) x) |
| ✓ | 7.0% | (*.f64 #s(literal 2 binary64) x) |
| ✓ | 4.3% | #s(literal 2 binary64) |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
| Outputs |
|---|
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x #s(literal 2 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (*.f64 (*.f64 x #s(literal 2 binary64)) x) |
Compiled 6 to 5 computations (16.7% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) x) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) x) |
2 calls:
| 10.0ms | x |
| 2.0ms | (*.f64 (*.f64 x #s(literal 2 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.0% | 1 | x |
| 7.0% | 1 | (*.f64 (*.f64 x #s(literal 2 binary64)) x) |
Compiled 6 to 5 computations (16.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 2 binary64) |
| Outputs |
|---|
#s(literal 2 binary64) |
2 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 x #s(literal 2 binary64)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.3% | 1 | (*.f64 (*.f64 x #s(literal 2 binary64)) x) |
| 4.3% | 1 | x |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1 | 6 | 9 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 8 |
| 0 | 6 | 6 |
| 1 | 9 | 6 |
| 2 | 12 | 6 |
| 3 | 13 | 6 |
| 4 | 20 | 6 |
| 5 | 36 | 6 |
| 6 | 92 | 6 |
| 7 | 279 | 2 |
| 8 | 1686 | 2 |
| 9 | 1711 | 2 |
| 10 | 1834 | 2 |
| 11 | 3049 | 2 |
| 0 | 8392 | 2 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 9 to 4 computations (55.6% saved)
(abs x)
Compiled 58 to 40 computations (31% saved)
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