Kahan's exp quotient
Time bar (total: 1.8s)
| 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)
| 651.0ms | 2069× | body | 1024 | valid |
| 250.0ms | 2966× | body | 256 | valid |
| 228.0ms | 2022× | body | 256 | infinite |
| 170.0ms | 1075× | body | 512 | valid |
| 31.0ms | 124× | body | 2048 | valid |
| 1× | egg-herbie |
| 1782× | div-sub |
| 1494× | fma-neg |
| 1012× | times-frac |
| 636× | distribute-lft-neg-in |
| 552× | distribute-rgt-neg-in |
| 138× | No Errors |
| 118× | (-.f64 (exp.f64 x) 1) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 88 |
| 1 | 39 | 88 |
| 2 | 68 | 86 |
| 3 | 147 | 80 |
| 4 | 384 | 80 |
| 5 | 1036 | 80 |
| 6 | 4095 | 80 |
| 7 | 7627 | 80 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x)) |
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x)) |
(/.f64 (expm1.f64 (neg.f64 x)) (neg.f64 x)) |
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x))) |
(/.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 x)) |
(*.f64 1 (/.f64 (expm1.f64 (neg.f64 x)) x)) |
(/.f64 (expm1.f64 (neg.f64 x)) x) |
Compiled 23 to 14 computations (39.1% saved)
Compiled 5 to 3 computations (40% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (expm1.f64 x) x) |
| ▶ | 100.0% | (/.f64 (expm1.f64 x) x) |
Compiled 10 to 6 computations (40% saved)
Compiled 9 to 4 computations (55.6% saved)
Compiled 1 to 1 computations (0% saved)
1 alts after pruning (0 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 0 | 1 | 1 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (expm1.f64 x) x) |
Compiled 16 to 10 computations (37.5% saved)
Total -27.8b remaining (-∞%)
Threshold costs -27.8b (-∞%)
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) 1) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) 1) x) |
Compiled 20 to 13 computations (35% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
Compiled 5 to 3 computations (40% saved)
| 1782× | div-sub |
| 1494× | fma-neg |
| 1012× | times-frac |
| 636× | distribute-lft-neg-in |
| 552× | distribute-rgt-neg-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 88 |
| 1 | 39 | 88 |
| 2 | 68 | 86 |
| 3 | 147 | 80 |
| 4 | 384 | 80 |
| 5 | 1036 | 80 |
| 6 | 4095 | 80 |
| 7 | 7627 | 80 |
| 1× | node limit |
Compiled 11 to 7 computations (36.4% saved)
Compiled 70 to 46 computations (34.3% saved)
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