Kahan's exp quotient
Time bar (total: 1.3s)
| 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 8 to 6 computations (25% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)const: 0.0ms (0% of total)| 414.0ms | 2131× | 1024 | valid |
| 235.0ms | 4843× | 256 | valid |
| 117.0ms | 1072× | 512 | valid |
| 47.0ms | 210× | 2048 | valid |
ival-exp: 300.0ms (54.9% of total)ival-div: 140.0ms (25.6% of total)ival-sub: 92.0ms (16.8% of total)const: 15.0ms (2.7% of total)| 1× | egg-herbie |
| 318× | fma-define |
| 191× | fma-neg |
| 111× | times-frac |
| 97× | div-sub |
| 64× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 88 |
| 1 | 43 | 80 |
| 2 | 88 | 80 |
| 3 | 240 | 80 |
| 4 | 630 | 80 |
| 5 | 971 | 80 |
| 6 | 1341 | 80 |
| 7 | 1585 | 80 |
| 8 | 1656 | 80 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) |
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (expm1.f64 (neg.f64 x)) (neg.f64 x)) |
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (expm1.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(/.f64 (expm1.f64 (neg.f64 x)) x) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 127 | 0 | - | 0 | - | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 28.0ms | 116× | 1024 | valid |
| 17.0ms | 306× | 256 | valid |
| 9.0ms | 70× | 512 | valid |
| 6.0ms | 20× | 2048 | valid |
Compiled 39 to 17 computations (56.4% saved)
ival-exp: 21.0ms (59.2% of total)ival-div: 7.0ms (19.7% of total)ival-sub: 7.0ms (19.7% of total)const: 1.0ms (2.8% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| 53.1% | (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 3× | 1-exp |
| 2× | unsub-neg |
| 2× | sub-neg |
| 2× | neg-mul-1 |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 17 | 23 |
| 2 | 21 | 23 |
| 3 | 24 | 23 |
| 4 | 27 | 23 |
| 5 | 30 | 23 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) x) |
| 1× | fuel |
Compiled 7 to 5 computations (28.6% saved)
Compiled 74 to 44 computations (40.5% saved)
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