
Time bar (total: 6.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 100% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
Compiled 49 to 35 computations (28.6% saved)
| 1.2s | 8 256× | 0 | valid |
ival-<=: 547.0ms (68.9% of total)ival-add: 169.0ms (21.3% of total)ival-and: 51.0ms (6.4% of total)exact: 23.0ms (2.9% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 e d) c) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 e d) c) b) |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | (+.f64 e d) |
| 0 | 0 | - | 0 | - | e |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| 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 |
| 26.0ms | 512× | 0 | valid |
Compiled 71 to 31 computations (56.3% saved)
ival-add: 8.0ms (89.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 996× | unsub-neg |
| 1 442× | sub-neg |
| 1 360× | distribute-neg-in |
| 1 220× | distribute-rgt-in |
| 1 150× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 187 |
| 1 | 219 | 184 |
| 2 | 777 | 180 |
| 3 | 3000 | 180 |
| 4 | 5879 | 180 |
| 5 | 6826 | 180 |
| 6 | 7181 | 180 |
| 7 | 7304 | 180 |
| 8 | 7348 | 180 |
| 9 | 7732 | 180 |
| 0 | 9 | 9 |
| 0 | 13 | 9 |
| 1 | 23 | 9 |
| 2 | 62 | 9 |
| 3 | 183 | 9 |
| 4 | 339 | 9 |
| 5 | 339 | 9 |
| 0 | 339 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
(sort a b c d e)
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 e d) | |
| cost-diff | 0 | (+.f64 (+.f64 e d) c) | |
| cost-diff | 0 | (+.f64 (+.f64 (+.f64 e d) c) b) | |
| cost-diff | 0 | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| 360× | lower-+.f32 |
| 352× | lower-+.f64 |
| 270× | associate-+r+ |
| 166× | associate-+l+ |
| 106× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 0 | 13 | 29 |
| 1 | 23 | 29 |
| 2 | 62 | 29 |
| 3 | 183 | 29 |
| 4 | 339 | 29 |
| 5 | 339 | 29 |
| 0 | 339 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
(+.f64 (+.f64 (+.f64 e d) c) b) |
(+.f64 (+.f64 e d) c) |
(+.f64 e d) |
e |
d |
c |
b |
a |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 e d) | |
| accuracy | 0.23046875 | (+.f64 (+.f64 e d) c) | |
| accuracy | 0.25 | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) | |
| accuracy | 0.265625 | (+.f64 (+.f64 (+.f64 e d) c) b) |
| 19.0ms | 256× | 0 | valid |
Compiled 31 to 11 computations (64.5% saved)
ival-add: 4.0ms (90.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 d) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 d) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 d) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 d) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 d) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 d) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 d) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 d) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf d) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | d | @ | -inf | ((+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (+ (+ e d) c) (+ e d)) |
| 0.0ms | c | @ | inf | ((+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (+ (+ e d) c) (+ e d)) |
| 0.0ms | e | @ | -inf | ((+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (+ (+ e d) c) (+ e d)) |
| 0.0ms | b | @ | -inf | ((+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (+ (+ e d) c) (+ e d)) |
| 0.0ms | e | @ | inf | ((+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (+ (+ e d) c) (+ e d)) |
| 1× | egg-herbie |
| 9 934× | lower-fma.f64 |
| 9 934× | lower-fma.f32 |
| 3 604× | lower-*.f64 |
| 3 604× | lower-*.f32 |
| 3 532× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 1456 |
| 1 | 463 | 1456 |
| 2 | 1533 | 1384 |
| 3 | 6026 | 1348 |
| 0 | 8275 | 1276 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ a (+ b (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ d e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ d e) |
(+ c (+ d e)) |
(+ c (+ d e)) |
(+ c (+ d e)) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
c |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
c |
(* c (+ 1 (+ (/ d c) (/ e c)))) |
(* c (+ 1 (+ (/ d c) (/ e c)))) |
(* c (+ 1 (+ (/ d c) (/ e c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1))) |
(+ a (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ c (+ d e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
b |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
b |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
b |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
a |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
a |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c d)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ c d) |
(+ c (+ d e)) |
(+ c (+ d e)) |
(+ c (+ d e)) |
d |
(+ d e) |
(+ d e) |
(+ d e) |
e |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
e |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
e |
(* e (+ 1 (+ (/ c e) (/ d e)))) |
(* e (+ 1 (+ (/ c e) (/ d e)))) |
(* e (+ 1 (+ (/ c e) (/ d e)))) |
e |
(* e (+ 1 (/ d e))) |
(* e (+ 1 (/ d e))) |
(* e (+ 1 (/ d e))) |
e |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ d e)) 1))) |
(* -1 (* e (- (* -1 (/ d e)) 1))) |
(* -1 (* e (- (* -1 (/ d e)) 1))) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ c e) |
(+ c (+ d e)) |
(+ c (+ d e)) |
(+ c (+ d e)) |
e |
(+ d e) |
(+ d e) |
(+ d e) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
d |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
d |
(* d (+ 1 (+ (/ c d) (/ e d)))) |
(* d (+ 1 (+ (/ c d) (/ e d)))) |
(* d (+ 1 (+ (/ c d) (/ e d)))) |
d |
(* d (+ 1 (/ e d))) |
(* d (+ 1 (/ e d))) |
(* d (+ 1 (/ e d))) |
d |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ e d)) 1))) |
(* -1 (* d (- (* -1 (/ e d)) 1))) |
(* -1 (* d (- (* -1 (/ e d)) 1))) |
| Outputs |
|---|
#<batchref> |
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| 4 812× | lower-/.f64 |
| 4 812× | lower-/.f32 |
| 4 764× | lower-*.f64 |
| 4 764× | lower-*.f32 |
| 2 988× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 1600 |
| 0 | 151 | 1516 |
| 1 | 1184 | 1516 |
| 0 | 8172 | 1516 |
| 1× | iter limit |
| 1× | node limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
(+.f64 (+.f64 (+.f64 e d) c) b) |
(+.f64 (+.f64 e d) c) |
(+.f64 e d) |
| Outputs |
|---|
#<batchref> |
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Compiled 2 291 to 204 computations (91.1% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 176 | 10 | 186 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 176 | 11 | 187 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.4% | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| 99.4% | (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) | |
| 99.5% | (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a) | |
| ▶ | 99.4% | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)) |
| 99.3% | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) b) a) c) c c)) | |
| ▶ | 99.5% | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d)) |
| 99.6% | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)) | |
| ▶ | 99.7% | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) |
| ▶ | 25.7% | #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) |
| 23.2% | #s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c)) | |
| ▶ | 21.1% | #s(approx (+ e d) (+.f64 d e)) |
Compiled 235 to 217 computations (7.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (+.f64 (+.f64 d e) c) a) | |
| cost-diff | 0 | (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)) | |
| cost-diff | 896 | (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b) | |
| cost-diff | 0 | (+.f64 (+.f64 (+.f64 c e) b) a) | |
| cost-diff | 0 | (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d)) | |
| cost-diff | 896 | (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d) | |
| cost-diff | 0 | (+.f64 d e) | |
| cost-diff | 0 | (+.f64 (+.f64 d e) c) | |
| cost-diff | 0 | (+.f64 (+.f64 (+.f64 d e) c) b) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) | |
| cost-diff | 0 | (+.f64 d e) | |
| cost-diff | 0 | #s(approx (+ e d) (+.f64 d e)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) | |
| cost-diff | 512 | (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) | |
| cost-diff | 704 | (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) | |
| cost-diff | 1088 | (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e) |
| 9 994× | lower-fma.f32 |
| 9 988× | lower-fma.f64 |
| 4 822× | lower-*.f64 |
| 4 822× | lower-*.f32 |
| 2 256× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 258 |
| 0 | 54 | 274 |
| 1 | 103 | 274 |
| 2 | 223 | 274 |
| 3 | 618 | 274 |
| 4 | 1228 | 232 |
| 5 | 1780 | 232 |
| 6 | 2652 | 232 |
| 7 | 4411 | 230 |
| 8 | 4753 | 230 |
| 9 | 5128 | 230 |
| 10 | 5221 | 230 |
| 11 | 5358 | 230 |
| 12 | 5495 | 230 |
| 13 | 7496 | 230 |
| 0 | 8133 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) |
(fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e) |
(+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) |
(+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) |
(+.f64 (/.f64 a d) #s(literal 1 binary64)) |
(/.f64 a d) |
a |
d |
#s(literal 1 binary64) |
(/.f64 b d) |
b |
(/.f64 c d) |
c |
e |
#s(approx (+ e d) (+.f64 d e)) |
(+.f64 d e) |
d |
e |
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) |
(+.f64 (+.f64 (+.f64 d e) c) b) |
(+.f64 (+.f64 d e) c) |
(+.f64 d e) |
d |
e |
c |
b |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d)) |
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d) |
(/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) |
(+.f64 (+.f64 (+.f64 c e) b) a) |
(+.f64 (+.f64 c e) b) |
(+.f64 c e) |
c |
e |
b |
a |
d |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)) |
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b) |
(/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) |
(+.f64 (+.f64 (+.f64 d e) c) a) |
(+.f64 (+.f64 d e) c) |
(+.f64 d e) |
d |
e |
c |
a |
b |
| Outputs |
|---|
#<batchref> |
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Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1875 | (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b) | |
| accuracy | 0.22265625 | (+.f64 (+.f64 d e) c) | |
| accuracy | 0.2421875 | (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) | |
| accuracy | 0.2578125 | (+.f64 (+.f64 (+.f64 d e) c) a) | |
| accuracy | 0.16015625 | (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d) | |
| accuracy | 0.1953125 | (+.f64 (+.f64 (+.f64 c e) b) a) | |
| accuracy | 0.23828125 | (+.f64 (+.f64 c e) b) | |
| accuracy | 0.27734375 | (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) | |
| accuracy | 0 | (+.f64 d e) | |
| accuracy | 0.22265625 | (+.f64 (+.f64 d e) c) | |
| accuracy | 0.265625 | (+.f64 (+.f64 (+.f64 d e) c) b) | |
| accuracy | 46.639492285037605 | #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) | |
| accuracy | 0 | (+.f64 d e) | |
| accuracy | 0 | #s(approx (+ e d) (+.f64 d e)) | |
| accuracy | 0.05859375 | (+.f64 (/.f64 a d) #s(literal 1 binary64)) | |
| accuracy | 0.10546875 | (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e) | |
| accuracy | 0.203125 | (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) | |
| accuracy | 0.2265625 | (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) |
| 59.0ms | 5× | 5 | exit |
| 51.0ms | 251× | 0 | valid |
Compiled 208 to 33 computations (84.1% saved)
ival-div: 64.0ms (71.5% of total)ival-add: 18.0ms (20.1% of total)ival-mult: 5.0ms (5.6% of total)adjust: 2.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ e d) (+.f64 d e)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 d e) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 d e) c) b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 d e) c) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 c e) b) a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 d e) c) a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (/.f64 a d) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 c e) b) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 d e) c) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 d e) c) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 d e) c) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 d e) c) a) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (/.f64 a d) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (/.f64 a d) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (/.f64 a d) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (/.f64 a d) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | d | @ | -inf | ((+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (+ (/ a d) 1) (/ b d)) (+ (+ (+ (+ e d) c) b) a) (+ e d) (+ d e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ d e) c) (+ (* (/ (+ (+ (+ c e) b) a) d) d) d) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c e) b) a) d) (+ (+ (+ c e) b) a) (+ (* (/ (+ (+ (+ d e) c) a) b) b) b) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ d e) c) a) b) (+ (+ (+ d e) c) a) (+ (/ a d) 1) (+ (+ c e) b)) |
| 6.0ms | c | @ | -inf | ((+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (+ (/ a d) 1) (/ b d)) (+ (+ (+ (+ e d) c) b) a) (+ e d) (+ d e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ d e) c) (+ (* (/ (+ (+ (+ c e) b) a) d) d) d) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c e) b) a) d) (+ (+ (+ c e) b) a) (+ (* (/ (+ (+ (+ d e) c) a) b) b) b) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ d e) c) a) b) (+ (+ (+ d e) c) a) (+ (/ a d) 1) (+ (+ c e) b)) |
| 4.0ms | d | @ | 0 | ((+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (+ (/ a d) 1) (/ b d)) (+ (+ (+ (+ e d) c) b) a) (+ e d) (+ d e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ d e) c) (+ (* (/ (+ (+ (+ c e) b) a) d) d) d) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c e) b) a) d) (+ (+ (+ c e) b) a) (+ (* (/ (+ (+ (+ d e) c) a) b) b) b) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ d e) c) a) b) (+ (+ (+ d e) c) a) (+ (/ a d) 1) (+ (+ c e) b)) |
| 3.0ms | b | @ | inf | ((+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (+ (/ a d) 1) (/ b d)) (+ (+ (+ (+ e d) c) b) a) (+ e d) (+ d e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ d e) c) (+ (* (/ (+ (+ (+ c e) b) a) d) d) d) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c e) b) a) d) (+ (+ (+ c e) b) a) (+ (* (/ (+ (+ (+ d e) c) a) b) b) b) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ d e) c) a) b) (+ (+ (+ d e) c) a) (+ (/ a d) 1) (+ (+ c e) b)) |
| 2.0ms | c | @ | inf | ((+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (+ (/ a d) 1) (/ b d)) (+ (+ (+ (+ e d) c) b) a) (+ e d) (+ d e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ d e) c) (+ (* (/ (+ (+ (+ c e) b) a) d) d) d) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c e) b) a) d) (+ (+ (+ c e) b) a) (+ (* (/ (+ (+ (+ d e) c) a) b) b) b) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ d e) c) a) b) (+ (+ (+ d e) c) a) (+ (/ a d) 1) (+ (+ c e) b)) |
| 1× | egg-herbie |
| 9 744× | lower-fma.f64 |
| 9 744× | lower-fma.f32 |
| 5 050× | lower-*.f64 |
| 5 050× | lower-*.f32 |
| 4 506× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 484 | 10035 |
| 1 | 1469 | 9927 |
| 2 | 4551 | 9624 |
| 0 | 8301 | 9202 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ e (* d (+ 1 (+ (/ a d) (/ b d))))) |
(+ c (+ e (* d (+ 1 (+ (/ a d) (/ b d)))))) |
(+ c (+ e (* d (+ 1 (+ (/ a d) (/ b d)))))) |
(+ c (+ e (* d (+ 1 (+ (/ a d) (/ b d)))))) |
(+ 1 (+ (/ a d) (/ b d))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ a (+ b (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ d e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ d e) |
(+ c (+ d e)) |
(+ c (+ d e)) |
(+ c (+ d e)) |
(+ a (+ b (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ a (+ b e)) d) |
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))) |
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))) |
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))) |
(+ a (+ b e)) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ a (+ d e)) b) |
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))) |
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))) |
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))) |
(+ a (+ d e)) |
(+ a (+ c (+ d e))) |
(+ a (+ c (+ d e))) |
(+ a (+ c (+ d e))) |
(+ b e) |
(+ b (+ c e)) |
(+ b (+ c e)) |
(+ b (+ c e)) |
c |
(* c (+ 1 (+ (/ e c) (/ (* d (+ 1 (+ (/ a d) (/ b d)))) c)))) |
(* c (+ 1 (+ (/ e c) (/ (* d (+ 1 (+ (/ a d) (/ b d)))) c)))) |
(* c (+ 1 (+ (/ e c) (/ (* d (+ 1 (+ (/ a d) (/ b d)))) c)))) |
(/ c d) |
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d)))))) |
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d)))))) |
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d)))))) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
c |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
c |
(* c (+ 1 (+ (/ d c) (/ e c)))) |
(* c (+ 1 (+ (/ d c) (/ e c)))) |
(* c (+ 1 (+ (/ d c) (/ e c)))) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(/ c d) |
(* c (+ (/ 1 d) (+ (/ a (* c d)) (+ (/ b (* c d)) (/ e (* c d)))))) |
(* c (+ (/ 1 d) (+ (/ a (* c d)) (+ (/ b (* c d)) (/ e (* c d)))))) |
(* c (+ (/ 1 d) (+ (/ a (* c d)) (+ (/ b (* c d)) (/ e (* c d)))))) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ e c))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ e c))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ e c))))) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(/ c b) |
(* c (+ (/ 1 b) (+ (/ a (* b c)) (+ (/ d (* b c)) (/ e (* b c)))))) |
(* c (+ (/ 1 b) (+ (/ a (* b c)) (+ (/ d (* b c)) (/ e (* b c)))))) |
(* c (+ (/ 1 b) (+ (/ a (* b c)) (+ (/ d (* b c)) (/ e (* b c)))))) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ a c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ a c) (+ (/ d c) (/ e c))))) |
c |
(* c (+ 1 (+ (/ b c) (/ e c)))) |
(* c (+ 1 (+ (/ b c) (/ e c)))) |
(* c (+ 1 (+ (/ b c) (/ e c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ b d))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ b d))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ b d))))) c)) 1))) |
(/ c d) |
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d)))) |
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d)))) |
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d)))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(/ c d) |
(* -1 (* c (- (* -1 (/ (+ (/ a d) (+ (/ b d) (/ e d))) c)) (/ 1 d)))) |
(* -1 (* c (- (* -1 (/ (+ (/ a d) (+ (/ b d) (/ e d))) c)) (/ 1 d)))) |
(* -1 (* c (- (* -1 (/ (+ (/ a d) (+ (/ b d) (/ e d))) c)) (/ 1 d)))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ b e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b e)) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(/ c b) |
(* -1 (* c (- (* -1 (/ (+ (/ a b) (+ (/ d b) (/ e b))) c)) (/ 1 b)))) |
(* -1 (* c (- (* -1 (/ (+ (/ a b) (+ (/ d b) (/ e b))) c)) (/ 1 b)))) |
(* -1 (* c (- (* -1 (/ (+ (/ a b) (+ (/ d b) (/ e b))) c)) (/ 1 b)))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ d e)) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1))) |
(+ e (* d (+ 1 (+ (/ a d) (/ c d))))) |
(+ b (+ e (* d (+ 1 (+ (/ a d) (/ c d)))))) |
(+ b (+ e (* d (+ 1 (+ (/ a d) (/ c d)))))) |
(+ b (+ e (* d (+ 1 (+ (/ a d) (/ c d)))))) |
(+ 1 (+ (/ a d) (/ c d))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (/ a d)) |
(+ 1 (+ (/ a d) (/ b d))) |
(+ 1 (+ (/ a d) (/ b d))) |
(+ 1 (+ (/ a d) (/ b d))) |
(+ a (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ c (+ d e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ a (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ a (+ c e)) d) |
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))) |
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))) |
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))) |
(+ a (+ c e)) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c e))) |
(+ a (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ a (+ c (+ d e))) b) |
(/ (+ a (+ c (+ d e))) b) |
(/ (+ a (+ c (+ d e))) b) |
(/ (+ a (+ c (+ d e))) b) |
(+ c e) |
(+ b (+ c e)) |
(+ b (+ c e)) |
(+ b (+ c e)) |
b |
(* b (+ 1 (+ (/ e b) (/ (* d (+ 1 (+ (/ a d) (/ c d)))) b)))) |
(* b (+ 1 (+ (/ e b) (/ (* d (+ 1 (+ (/ a d) (/ c d)))) b)))) |
(* b (+ 1 (+ (/ e b) (/ (* d (+ 1 (+ (/ a d) (/ c d)))) b)))) |
(/ b d) |
(* b (+ (/ 1 b) (+ (/ 1 d) (+ (/ a (* b d)) (/ c (* b d)))))) |
(* b (+ (/ 1 b) (+ (/ 1 d) (+ (/ a (* b d)) (/ c (* b d)))))) |
(* b (+ (/ 1 b) (+ (/ 1 d) (+ (/ a (* b d)) (/ c (* b d)))))) |
(/ b d) |
(* b (+ (/ 1 b) (+ (/ 1 d) (/ a (* b d))))) |
(* b (+ (/ 1 b) (+ (/ 1 d) (/ a (* b d))))) |
(* b (+ (/ 1 b) (+ (/ 1 d) (/ a (* b d))))) |
b |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
b |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
b |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
b |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
b |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(/ b d) |
(* b (+ (/ 1 d) (+ (/ a (* b d)) (+ (/ c (* b d)) (/ e (* b d)))))) |
(* b (+ (/ 1 d) (+ (/ a (* b d)) (+ (/ c (* b d)) (/ e (* b d)))))) |
(* b (+ (/ 1 d) (+ (/ a (* b d)) (+ (/ c (* b d)) (/ e (* b d)))))) |
b |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ e b))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ e b))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ e b))))) |
b |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
b |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(/ (+ a (+ c (+ d e))) b) |
(/ (+ a (+ c (+ d e))) b) |
(/ (+ a (+ c (+ d e))) b) |
(/ (+ a (+ c (+ d e))) b) |
b |
(* b (+ 1 (+ (/ c b) (/ e b)))) |
(* b (+ 1 (+ (/ c b) (/ e b)))) |
(* b (+ 1 (+ (/ c b) (/ e b)))) |
b |
(* -1 (* b (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ c d))))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ c d))))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ c d))))) b)) 1))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (+ 1 (+ (/ a d) (/ c d))) b)) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (+ 1 (+ (/ a d) (/ c d))) b)) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (+ 1 (+ (/ a d) (/ c d))) b)) (/ 1 d)))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (+ 1 (/ a d)) b)) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (+ 1 (/ a d)) b)) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (+ 1 (/ a d)) b)) (/ 1 d)))) |
b |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (+ (/ a d) (+ (/ c d) (/ e d))) b)) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (+ (/ a d) (+ (/ c d) (/ e d))) b)) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (+ (/ a d) (+ (/ c d) (/ e d))) b)) (/ 1 d)))) |
b |
(* -1 (* b (- (* -1 (/ (+ a (+ c e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c e)) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(/ (+ a (+ c (+ d e))) b) |
(/ (+ a (+ c (+ d e))) b) |
(/ (+ a (+ c (+ d e))) b) |
(/ (+ a (+ c (+ d e))) b) |
b |
(* -1 (* b (- (* -1 (/ (+ c e) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c e) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c e) b)) 1))) |
(+ e (* d (+ 1 (+ (/ b d) (/ c d))))) |
(+ a (+ e (* d (+ 1 (+ (/ b d) (/ c d)))))) |
(+ a (+ e (* d (+ 1 (+ (/ b d) (/ c d)))))) |
(+ a (+ e (* d (+ 1 (+ (/ b d) (/ c d)))))) |
(+ 1 (+ (/ b d) (/ c d))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (/ b d)) |
(+ 1 (+ (/ a d) (/ b d))) |
(+ 1 (+ (/ a d) (/ b d))) |
(+ 1 (+ (/ a d) (/ b d))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ b (+ c e)) d) |
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))) |
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))) |
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))) |
(+ b (+ c e)) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c e))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ c (+ d e)) b) |
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))) |
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))) |
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))) |
(+ c (+ d e)) |
(+ a (+ c (+ d e))) |
(+ a (+ c (+ d e))) |
(+ a (+ c (+ d e))) |
1 |
(+ 1 (/ a d)) |
(+ 1 (/ a d)) |
(+ 1 (/ a d)) |
a |
(* a (+ 1 (+ (/ e a) (/ (* d (+ 1 (+ (/ b d) (/ c d)))) a)))) |
(* a (+ 1 (+ (/ e a) (/ (* d (+ 1 (+ (/ b d) (/ c d)))) a)))) |
(* a (+ 1 (+ (/ e a) (/ (* d (+ 1 (+ (/ b d) (/ c d)))) a)))) |
(/ a d) |
(* a (+ (/ 1 a) (+ (/ 1 d) (+ (/ b (* a d)) (/ c (* a d)))))) |
(* a (+ (/ 1 a) (+ (/ 1 d) (+ (/ b (* a d)) (/ c (* a d)))))) |
(* a (+ (/ 1 a) (+ (/ 1 d) (+ (/ b (* a d)) (/ c (* a d)))))) |
(/ a d) |
(* a (+ (/ 1 a) (+ (/ 1 d) (/ b (* a d))))) |
(* a (+ (/ 1 a) (+ (/ 1 d) (/ b (* a d))))) |
(* a (+ (/ 1 a) (+ (/ 1 d) (/ b (* a d))))) |
a |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
a |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
a |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
a |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(/ a d) |
(* a (+ (/ 1 d) (+ (/ b (* a d)) (+ (/ c (* a d)) (/ e (* a d)))))) |
(* a (+ (/ 1 d) (+ (/ b (* a d)) (+ (/ c (* a d)) (/ e (* a d)))))) |
(* a (+ (/ 1 d) (+ (/ b (* a d)) (+ (/ c (* a d)) (/ e (* a d)))))) |
a |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ e a))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ e a))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ e a))))) |
a |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
a |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(/ a b) |
(* a (+ (/ 1 b) (+ (/ c (* a b)) (+ (/ d (* a b)) (/ e (* a b)))))) |
(* a (+ (/ 1 b) (+ (/ c (* a b)) (+ (/ d (* a b)) (/ e (* a b)))))) |
(* a (+ (/ 1 b) (+ (/ c (* a b)) (+ (/ d (* a b)) (/ e (* a b)))))) |
a |
(* a (+ 1 (+ (/ c a) (+ (/ d a) (/ e a))))) |
(* a (+ 1 (+ (/ c a) (+ (/ d a) (/ e a))))) |
(* a (+ 1 (+ (/ c a) (+ (/ d a) (/ e a))))) |
(/ a d) |
(* a (+ (/ 1 a) (/ 1 d))) |
(* a (+ (/ 1 a) (/ 1 d))) |
(* a (+ (/ 1 a) (/ 1 d))) |
a |
(* -1 (* a (- (* -1 (/ (+ e (* d (+ 1 (+ (/ b d) (/ c d))))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ e (* d (+ 1 (+ (/ b d) (/ c d))))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ e (* d (+ 1 (+ (/ b d) (/ c d))))) a)) 1))) |
(/ a d) |
(* -1 (* a (- (* -1 (/ (+ 1 (+ (/ b d) (/ c d))) a)) (/ 1 d)))) |
(* -1 (* a (- (* -1 (/ (+ 1 (+ (/ b d) (/ c d))) a)) (/ 1 d)))) |
(* -1 (* a (- (* -1 (/ (+ 1 (+ (/ b d) (/ c d))) a)) (/ 1 d)))) |
(/ a d) |
(* -1 (* a (- (* -1 (/ (+ 1 (/ b d)) a)) (/ 1 d)))) |
(* -1 (* a (- (* -1 (/ (+ 1 (/ b d)) a)) (/ 1 d)))) |
(* -1 (* a (- (* -1 (/ (+ 1 (/ b d)) a)) (/ 1 d)))) |
a |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
a |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
a |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
a |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(/ a d) |
(* -1 (* a (- (* -1 (/ (+ (/ b d) (+ (/ c d) (/ e d))) a)) (/ 1 d)))) |
(* -1 (* a (- (* -1 (/ (+ (/ b d) (+ (/ c d) (/ e d))) a)) (/ 1 d)))) |
(* -1 (* a (- (* -1 (/ (+ (/ b d) (+ (/ c d) (/ e d))) a)) (/ 1 d)))) |
a |
(* -1 (* a (- (* -1 (/ (+ b (+ c e)) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c e)) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c e)) a)) 1))) |
a |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
a |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(/ a b) |
(* -1 (* a (- (* -1 (/ (+ (/ c b) (+ (/ d b) (/ e b))) a)) (/ 1 b)))) |
(* -1 (* a (- (* -1 (/ (+ (/ c b) (+ (/ d b) (/ e b))) a)) (/ 1 b)))) |
(* -1 (* a (- (* -1 (/ (+ (/ c b) (+ (/ d b) (/ e b))) a)) (/ 1 b)))) |
a |
(* -1 (* a (- (* -1 (/ (+ c (+ d e)) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ c (+ d e)) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ c (+ d e)) a)) 1))) |
(/ a d) |
(* a (+ (/ 1 a) (/ 1 d))) |
(* a (+ (/ 1 a) (/ 1 d))) |
(* a (+ (/ 1 a) (/ 1 d))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) |
(+ e (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))) |
(+ e (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))) |
(+ e (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
d |
(+ d e) |
(+ d e) |
(+ d e) |
d |
(+ d e) |
(+ d e) |
(+ d e) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c d)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ c d) |
(+ c (+ d e)) |
(+ c (+ d e)) |
(+ c (+ d e)) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ a (+ b c)) d) |
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))) |
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))) |
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))) |
(+ a (+ b c)) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ a (+ c d)) b) |
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))) |
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))) |
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))) |
(+ a (+ c d)) |
(+ a (+ c (+ d e))) |
(+ a (+ c (+ d e))) |
(+ a (+ c (+ d e))) |
(+ b c) |
(+ b (+ c e)) |
(+ b (+ c e)) |
(+ b (+ c e)) |
e |
(* e (+ 1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e))) |
(* e (+ 1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e))) |
(* e (+ 1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e))) |
e |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
e |
(* e (+ 1 (/ d e))) |
(* e (+ 1 (/ d e))) |
(* e (+ 1 (/ d e))) |
e |
(* e (+ 1 (/ d e))) |
(* e (+ 1 (/ d e))) |
(* e (+ 1 (/ d e))) |
e |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
e |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
e |
(* e (+ 1 (+ (/ c e) (/ d e)))) |
(* e (+ 1 (+ (/ c e) (/ d e)))) |
(* e (+ 1 (+ (/ c e) (/ d e)))) |
e |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
e |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(/ e d) |
(* e (+ (/ 1 d) (+ (/ a (* d e)) (+ (/ b (* d e)) (/ c (* d e)))))) |
(* e (+ (/ 1 d) (+ (/ a (* d e)) (+ (/ b (* d e)) (/ c (* d e)))))) |
(* e (+ (/ 1 d) (+ (/ a (* d e)) (+ (/ b (* d e)) (/ c (* d e)))))) |
e |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (/ c e))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (/ c e))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (/ c e))))) |
e |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
e |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(/ e b) |
(* e (+ (/ 1 b) (+ (/ a (* b e)) (+ (/ c (* b e)) (/ d (* b e)))))) |
(* e (+ (/ 1 b) (+ (/ a (* b e)) (+ (/ c (* b e)) (/ d (* b e)))))) |
(* e (+ (/ 1 b) (+ (/ a (* b e)) (+ (/ c (* b e)) (/ d (* b e)))))) |
e |
(* e (+ 1 (+ (/ a e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ a e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ a e) (+ (/ c e) (/ d e))))) |
e |
(* e (+ 1 (+ (/ b e) (/ c e)))) |
(* e (+ 1 (+ (/ b e) (/ c e)))) |
(* e (+ 1 (+ (/ b e) (/ c e)))) |
e |
(* -1 (* e (- (* -1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ d e)) 1))) |
(* -1 (* e (- (* -1 (/ d e)) 1))) |
(* -1 (* e (- (* -1 (/ d e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ d e)) 1))) |
(* -1 (* e (- (* -1 (/ d e)) 1))) |
(* -1 (* e (- (* -1 (/ d e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(/ e d) |
(* -1 (* e (- (* -1 (/ (+ (/ a d) (+ (/ b d) (/ c d))) e)) (/ 1 d)))) |
(* -1 (* e (- (* -1 (/ (+ (/ a d) (+ (/ b d) (/ c d))) e)) (/ 1 d)))) |
(* -1 (* e (- (* -1 (/ (+ (/ a d) (+ (/ b d) (/ c d))) e)) (/ 1 d)))) |
e |
(* -1 (* e (- (* -1 (/ (+ a (+ b c)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b c)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b c)) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(/ e b) |
(* -1 (* e (- (* -1 (/ (+ (/ a b) (+ (/ c b) (/ d b))) e)) (/ 1 b)))) |
(* -1 (* e (- (* -1 (/ (+ (/ a b) (+ (/ c b) (/ d b))) e)) (/ 1 b)))) |
(* -1 (* e (- (* -1 (/ (+ (/ a b) (+ (/ c b) (/ d b))) e)) (/ 1 b)))) |
e |
(* -1 (* e (- (* -1 (/ (+ a (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ c d)) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ b c) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b c) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b c) e)) 1))) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ a (+ b c)) d) |
(/ (+ a (+ b (+ c d))) d) |
(/ (+ a (+ b (+ c d))) d) |
(/ (+ a (+ b (+ c d))) d) |
(/ (+ a b) d) |
(/ (+ a (+ b d)) d) |
(/ (+ a (+ b d)) d) |
(/ (+ a (+ b d)) d) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
e |
(+ d e) |
(+ d e) |
(+ d e) |
e |
(+ d e) |
(+ d e) |
(+ d e) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ c e) |
(+ c (+ d e)) |
(+ c (+ d e)) |
(+ c (+ d e)) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ a (+ b (+ c e))) d) |
(/ (+ a (+ b (+ c e))) d) |
(/ (+ a (+ b (+ c e))) d) |
(/ (+ a (+ b (+ c e))) d) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ a (+ c e)) b) |
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))) |
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))) |
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))) |
(+ a (+ c e)) |
(+ a (+ c (+ d e))) |
(+ a (+ c (+ d e))) |
(+ a (+ c (+ d e))) |
(/ a d) |
(/ (+ a d) d) |
(/ (+ a d) d) |
(/ (+ a d) d) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
1 |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
1 |
(+ 1 (+ (/ a d) (/ b d))) |
(+ 1 (+ (/ a d) (/ b d))) |
(+ 1 (+ (/ a d) (/ b d))) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
d |
(* d (+ 1 (/ e d))) |
(* d (+ 1 (/ e d))) |
(* d (+ 1 (/ e d))) |
d |
(* d (+ 1 (/ e d))) |
(* d (+ 1 (/ e d))) |
(* d (+ 1 (/ e d))) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
d |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
d |
(* d (+ 1 (+ (/ c d) (/ e d)))) |
(* d (+ 1 (+ (/ c d) (/ e d)))) |
(* d (+ 1 (+ (/ c d) (/ e d)))) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(/ (+ a (+ b (+ c e))) d) |
(/ (+ a (+ b (+ c e))) d) |
(/ (+ a (+ b (+ c e))) d) |
(/ (+ a (+ b (+ c e))) d) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(/ d b) |
(* d (+ (/ 1 b) (+ (/ a (* b d)) (+ (/ c (* b d)) (/ e (* b d)))))) |
(* d (+ (/ 1 b) (+ (/ a (* b d)) (+ (/ c (* b d)) (/ e (* b d)))))) |
(* d (+ (/ 1 b) (+ (/ a (* b d)) (+ (/ c (* b d)) (/ e (* b d)))))) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ a d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ a d) (+ (/ c d) (/ e d))))) |
1 |
(+ 1 (/ a d)) |
(+ 1 (/ a d)) |
(+ 1 (/ a d)) |
d |
(* -1 (* d (- (* -1 (/ (+ e (* -1 (+ (* -1 a) (+ (* -1 b) (* -1 c))))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ e (* -1 (+ (* -1 a) (+ (* -1 b) (* -1 c))))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ e (* -1 (+ (* -1 a) (+ (* -1 b) (* -1 c))))) d)) 1))) |
1 |
(+ 1 (* -1 (/ (+ (* -1 a) (+ (* -1 b) (* -1 c))) d))) |
(+ 1 (* -1 (/ (+ (* -1 a) (+ (* -1 b) (* -1 c))) d))) |
(+ 1 (* -1 (/ (+ (* -1 a) (+ (* -1 b) (* -1 c))) d))) |
1 |
(+ 1 (* -1 (/ (+ (* -1 a) (* -1 b)) d))) |
(+ 1 (* -1 (/ (+ (* -1 a) (* -1 b)) d))) |
(+ 1 (* -1 (/ (+ (* -1 a) (* -1 b)) d))) |
d |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ e d)) 1))) |
(* -1 (* d (- (* -1 (/ e d)) 1))) |
(* -1 (* d (- (* -1 (/ e d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ e d)) 1))) |
(* -1 (* d (- (* -1 (/ e d)) 1))) |
(* -1 (* d (- (* -1 (/ e d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(/ (+ a (+ b (+ c e))) d) |
(/ (+ a (+ b (+ c e))) d) |
(/ (+ a (+ b (+ c e))) d) |
(/ (+ a (+ b (+ c e))) d) |
d |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(/ d b) |
(* -1 (* d (- (* -1 (/ (+ (/ a b) (+ (/ c b) (/ e b))) d)) (/ 1 b)))) |
(* -1 (* d (- (* -1 (/ (+ (/ a b) (+ (/ c b) (/ e b))) d)) (/ 1 b)))) |
(* -1 (* d (- (* -1 (/ (+ (/ a b) (+ (/ c b) (/ e b))) d)) (/ 1 b)))) |
d |
(* -1 (* d (- (* -1 (/ (+ a (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ c e)) d)) 1))) |
1 |
(+ 1 (/ a d)) |
(+ 1 (/ a d)) |
(+ 1 (/ a d)) |
| Outputs |
|---|
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| 6 900× | lower-*.f64 |
| 6 900× | lower-*.f32 |
| 4 130× | lower-/.f64 |
| 4 130× | lower-/.f32 |
| 2 666× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 484 | 10440 |
| 0 | 484 | 9987 |
| 1 | 3899 | 9945 |
| 0 | 9486 | 9903 |
| 1× | iter limit |
| 1× | node limit |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e) |
(+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) |
(+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) |
#s(approx (+ e d) (+.f64 d e)) |
(+.f64 d e) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) |
(+.f64 (+.f64 (+.f64 d e) c) b) |
(+.f64 (+.f64 d e) c) |
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d)) |
(/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) |
(+.f64 (+.f64 (+.f64 c e) b) a) |
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)) |
(/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) |
(+.f64 (+.f64 (+.f64 d e) c) a) |
(+.f64 (/.f64 a d) #s(literal 1 binary64)) |
(+.f64 (+.f64 c e) b) |
| Outputs |
|---|
#<batchref> |
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Compiled 15 074 to 1 116 computations (92.6% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 969 | 2 | 971 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 973 | 9 | 982 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.4% | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| ▶ | 99.4% | (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) |
| ▶ | 99.5% | (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a) |
| ✓ | 99.4% | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)) |
| ▶ | 99.6% | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)) |
| ▶ | 99.7% | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) |
| ✓ | 25.7% | #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) |
| ▶ | 23.2% | #s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) |
| ✓ | 21.1% | #s(approx (+ e d) (+.f64 d e)) |
Compiled 154 to 146 computations (5.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 (+.f64 c e) b) d) | |
| cost-diff | 0 | #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) | |
| cost-diff | 896 | (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d) | |
| cost-diff | 0 | (/.f64 (+.f64 (+.f64 c d) b) e) | |
| cost-diff | 0 | #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) | |
| cost-diff | 0 | (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a) | |
| cost-diff | 896 | (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e) | |
| cost-diff | 0 | (+.f64 (+.f64 (+.f64 c d) b) a) | |
| cost-diff | 0 | (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)) | |
| cost-diff | 896 | (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e) | |
| cost-diff | 0 | (+.f64 e d) | |
| cost-diff | 0 | (+.f64 (+.f64 e d) c) | |
| cost-diff | 0 | #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) | |
| cost-diff | 0 | (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) |
| 8 502× | lower-fma.f32 |
| 8 494× | lower-fma.f64 |
| 4 800× | lower-*.f64 |
| 4 800× | lower-*.f32 |
| 1 860× | lower-/.f32 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 361 |
| 0 | 70 | 361 |
| 1 | 129 | 361 |
| 2 | 225 | 353 |
| 3 | 476 | 337 |
| 4 | 861 | 337 |
| 5 | 1108 | 337 |
| 6 | 1608 | 331 |
| 7 | 3488 | 325 |
| 8 | 4280 | 325 |
| 9 | 4673 | 325 |
| 10 | 5181 | 325 |
| 11 | 5363 | 325 |
| 12 | 5585 | 325 |
| 13 | 5835 | 325 |
| 14 | 7664 | 325 |
| 0 | 8216 | 325 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) |
(fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e) |
#s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) |
(+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64)) |
(/.f64 (+.f64 (+.f64 c b) a) d) |
(+.f64 (+.f64 c b) a) |
(+.f64 c b) |
c |
b |
a |
d |
#s(literal 1 binary64) |
e |
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) |
#s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)) |
(+.f64 (+.f64 e d) c) |
(+.f64 e d) |
e |
d |
c |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)) |
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e) |
(/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) |
(+.f64 (+.f64 (+.f64 c d) b) a) |
(+.f64 (+.f64 c d) b) |
(+.f64 c d) |
c |
d |
b |
a |
e |
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a) |
#s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) |
(fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e) |
(/.f64 (+.f64 (+.f64 c d) b) e) |
(+.f64 (+.f64 c d) b) |
(+.f64 c d) |
c |
d |
b |
e |
a |
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) |
#s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) |
(fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d) |
(/.f64 (+.f64 (+.f64 c e) b) d) |
(+.f64 (+.f64 c e) b) |
(+.f64 c e) |
c |
e |
b |
d |
a |
| Outputs |
|---|
#<batchref> |
#<batchref> |
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Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1328125 | (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d) | |
| accuracy | 0.1875 | (/.f64 (+.f64 (+.f64 c e) b) d) | |
| accuracy | 0.1953125 | (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) | |
| accuracy | 0.2109375 | (+.f64 (+.f64 c e) b) | |
| accuracy | 0.0859375 | (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e) | |
| accuracy | 0.1796875 | (+.f64 (+.f64 c d) b) | |
| accuracy | 0.1953125 | (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a) | |
| accuracy | 0.2890625 | (/.f64 (+.f64 (+.f64 c d) b) e) | |
| accuracy | 0.11328125 | (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e) | |
| accuracy | 0.1796875 | (+.f64 (+.f64 c d) b) | |
| accuracy | 0.25 | (+.f64 (+.f64 (+.f64 c d) b) a) | |
| accuracy | 0.30859375 | (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) | |
| accuracy | 0 | (+.f64 e d) | |
| accuracy | 0.203125 | (+.f64 (+.f64 e d) c) | |
| accuracy | 41.99245982515524 | #s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) | |
| accuracy | 42.87927806508946 | #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)) | |
| accuracy | 0.09765625 | (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e) | |
| accuracy | 0.21875 | (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64)) | |
| accuracy | 0.2421875 | (/.f64 (+.f64 (+.f64 c b) a) d) | |
| accuracy | 0.25390625 | (+.f64 (+.f64 c b) a) |
| 71.0ms | 226× | 0 | valid |
| 46.0ms | 30× | 5 | exit |
Compiled 243 to 41 computations (83.1% saved)
ival-add: 41.0ms (48.9% of total)adjust: 21.0ms (25% of total)ival-div: 14.0ms (16.7% of total)ival-mult: 7.0ms (8.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 c d) b) a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c d) b) e) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c e) b) d) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 c b) a) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c b) a) d) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 c d) b) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (+.f64 c e) b) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e) #<representation binary64>) () ())) ()) |
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15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | d | @ | inf | ((+ (+ (+ (+ e d) c) b) a) (+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (/ (+ (+ c b) a) d) 1) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ e d) c) (+ e d) (+ (* (/ (+ (+ (+ c d) b) a) e) e) e) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c d) b) a) e) (+ (+ (+ c d) b) a) (+ (* (/ (+ (+ c d) b) e) e) e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c d) b) e) (+ (* (/ (+ (+ c e) b) d) d) d) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c e) b) d) (+ (+ c b) a) (/ (+ (+ c b) a) d) (+ (+ c d) b) (+ (+ c e) b)) |
| 3.0ms | d | @ | -inf | ((+ (+ (+ (+ e d) c) b) a) (+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (/ (+ (+ c b) a) d) 1) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ e d) c) (+ e d) (+ (* (/ (+ (+ (+ c d) b) a) e) e) e) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c d) b) a) e) (+ (+ (+ c d) b) a) (+ (* (/ (+ (+ c d) b) e) e) e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c d) b) e) (+ (* (/ (+ (+ c e) b) d) d) d) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c e) b) d) (+ (+ c b) a) (/ (+ (+ c b) a) d) (+ (+ c d) b) (+ (+ c e) b)) |
| 3.0ms | b | @ | inf | ((+ (+ (+ (+ e d) c) b) a) (+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (/ (+ (+ c b) a) d) 1) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ e d) c) (+ e d) (+ (* (/ (+ (+ (+ c d) b) a) e) e) e) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c d) b) a) e) (+ (+ (+ c d) b) a) (+ (* (/ (+ (+ c d) b) e) e) e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c d) b) e) (+ (* (/ (+ (+ c e) b) d) d) d) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c e) b) d) (+ (+ c b) a) (/ (+ (+ c b) a) d) (+ (+ c d) b) (+ (+ c e) b)) |
| 2.0ms | c | @ | -inf | ((+ (+ (+ (+ e d) c) b) a) (+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (/ (+ (+ c b) a) d) 1) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ e d) c) (+ e d) (+ (* (/ (+ (+ (+ c d) b) a) e) e) e) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c d) b) a) e) (+ (+ (+ c d) b) a) (+ (* (/ (+ (+ c d) b) e) e) e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c d) b) e) (+ (* (/ (+ (+ c e) b) d) d) d) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c e) b) d) (+ (+ c b) a) (/ (+ (+ c b) a) d) (+ (+ c d) b) (+ (+ c e) b)) |
| 2.0ms | c | @ | inf | ((+ (+ (+ (+ e d) c) b) a) (+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (/ (+ (+ c b) a) d) 1) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ e d) c) (+ e d) (+ (* (/ (+ (+ (+ c d) b) a) e) e) e) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c d) b) a) e) (+ (+ (+ c d) b) a) (+ (* (/ (+ (+ c d) b) e) e) e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c d) b) e) (+ (* (/ (+ (+ c e) b) d) d) d) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c e) b) d) (+ (+ c b) a) (/ (+ (+ c b) a) d) (+ (+ c d) b) (+ (+ c e) b)) |
| 1× | egg-herbie |
| 9 202× | lower-fma.f64 |
| 9 202× | lower-fma.f32 |
| 5 206× | lower-*.f64 |
| 5 206× | lower-*.f32 |
| 4 336× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 496 | 12582 |
| 1 | 1506 | 12537 |
| 2 | 4551 | 12171 |
| 0 | 8514 | 11641 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ a (+ b (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ e (* d (+ 1 (+ (/ a d) (/ b d))))) |
(+ c (+ e (* d (+ 1 (+ (/ a d) (/ b d)))))) |
(+ c (+ e (* d (+ 1 (+ (/ a d) (/ b d)))))) |
(+ c (+ e (* d (+ 1 (+ (/ a d) (/ b d)))))) |
(+ 1 (+ (/ a d) (/ b d))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (/ b d))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ a (+ b (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ d e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ d e) |
(+ c (+ d e)) |
(+ c (+ d e)) |
(+ c (+ d e)) |
(+ a (+ b (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ a (+ b d)) e) |
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))) |
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))) |
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))) |
(+ a (+ b d)) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c d))) |
(+ b (+ d e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ d e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(/ (+ b d) e) |
(+ (/ b e) (+ (/ c e) (/ d e))) |
(+ (/ b e) (+ (/ c e) (/ d e))) |
(+ (/ b e) (+ (/ c e) (/ d e))) |
(+ b (+ d e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ d e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(/ (+ b e) d) |
(+ (/ b d) (+ (/ c d) (/ e d))) |
(+ (/ b d) (+ (/ c d) (/ e d))) |
(+ (/ b d) (+ (/ c d) (/ e d))) |
(+ a b) |
(+ a (+ b c)) |
(+ a (+ b c)) |
(+ a (+ b c)) |
(/ (+ a b) d) |
(+ (/ a d) (+ (/ b d) (/ c d))) |
(+ (/ a d) (+ (/ b d) (/ c d))) |
(+ (/ a d) (+ (/ b d) (/ c d))) |
(+ b d) |
(+ b (+ c d)) |
(+ b (+ c d)) |
(+ b (+ c d)) |
(+ b e) |
(+ b (+ c e)) |
(+ b (+ c e)) |
(+ b (+ c e)) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
c |
(* c (+ 1 (+ (/ e c) (/ (* d (+ 1 (+ (/ a d) (/ b d)))) c)))) |
(* c (+ 1 (+ (/ e c) (/ (* d (+ 1 (+ (/ a d) (/ b d)))) c)))) |
(* c (+ 1 (+ (/ e c) (/ (* d (+ 1 (+ (/ a d) (/ b d)))) c)))) |
(/ c d) |
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d)))))) |
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d)))))) |
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d)))))) |
(/ c d) |
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d)))))) |
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d)))))) |
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d)))))) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
c |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
c |
(* c (+ 1 (+ (/ d c) (/ e c)))) |
(* c (+ 1 (+ (/ d c) (/ e c)))) |
(* c (+ 1 (+ (/ d c) (/ e c)))) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(/ c e) |
(* c (+ (/ 1 e) (+ (/ a (* c e)) (+ (/ b (* c e)) (/ d (* c e)))))) |
(* c (+ (/ 1 e) (+ (/ a (* c e)) (+ (/ b (* c e)) (/ d (* c e)))))) |
(* c (+ (/ 1 e) (+ (/ a (* c e)) (+ (/ b (* c e)) (/ d (* c e)))))) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c))))) |
c |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
c |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(/ c e) |
(* c (+ (/ 1 e) (+ (/ b (* c e)) (/ d (* c e))))) |
(* c (+ (/ 1 e) (+ (/ b (* c e)) (/ d (* c e))))) |
(* c (+ (/ 1 e) (+ (/ b (* c e)) (/ d (* c e))))) |
c |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
c |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c)))))) |
c |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c))))) |
(/ c d) |
(* c (+ (/ 1 d) (+ (/ b (* c d)) (/ e (* c d))))) |
(* c (+ (/ 1 d) (+ (/ b (* c d)) (/ e (* c d))))) |
(* c (+ (/ 1 d) (+ (/ b (* c d)) (/ e (* c d))))) |
c |
(* c (+ 1 (+ (/ a c) (/ b c)))) |
(* c (+ 1 (+ (/ a c) (/ b c)))) |
(* c (+ 1 (+ (/ a c) (/ b c)))) |
(/ c d) |
(* c (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d))))) |
(* c (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d))))) |
(* c (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d))))) |
c |
(* c (+ 1 (+ (/ b c) (/ d c)))) |
(* c (+ 1 (+ (/ b c) (/ d c)))) |
(* c (+ 1 (+ (/ b c) (/ d c)))) |
c |
(* c (+ 1 (+ (/ b c) (/ e c)))) |
(* c (+ 1 (+ (/ b c) (/ e c)))) |
(* c (+ 1 (+ (/ b c) (/ e c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ b d))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ b d))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ b d))))) c)) 1))) |
(/ c d) |
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d)))) |
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d)))) |
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d)))) |
(/ c d) |
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d)))) |
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d)))) |
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d)))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(/ c e) |
(* -1 (* c (- (* -1 (/ (+ (/ a e) (+ (/ b e) (/ d e))) c)) (/ 1 e)))) |
(* -1 (* c (- (* -1 (/ (+ (/ a e) (+ (/ b e) (/ d e))) c)) (/ 1 e)))) |
(* -1 (* c (- (* -1 (/ (+ (/ a e) (+ (/ b e) (/ d e))) c)) (/ 1 e)))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(/ c e) |
(* -1 (* c (- (* -1 (/ (+ (/ b e) (/ d e)) c)) (/ 1 e)))) |
(* -1 (* c (- (* -1 (/ (+ (/ b e) (/ d e)) c)) (/ 1 e)))) |
(* -1 (* c (- (* -1 (/ (+ (/ b e) (/ d e)) c)) (/ 1 e)))) |
c |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1))) |
(/ c d) |
(* -1 (* c (- (* -1 (/ (+ (/ b d) (/ e d)) c)) (/ 1 d)))) |
(* -1 (* c (- (* -1 (/ (+ (/ b d) (/ e d)) c)) (/ 1 d)))) |
(* -1 (* c (- (* -1 (/ (+ (/ b d) (/ e d)) c)) (/ 1 d)))) |
c |
(* -1 (* c (- (* -1 (/ (+ a b) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a b) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ a b) c)) 1))) |
(/ c d) |
(* -1 (* c (- (* -1 (/ (+ (/ a d) (/ b d)) c)) (/ 1 d)))) |
(* -1 (* c (- (* -1 (/ (+ (/ a d) (/ b d)) c)) (/ 1 d)))) |
(* -1 (* c (- (* -1 (/ (+ (/ a d) (/ b d)) c)) (/ 1 d)))) |
c |
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) |
c |
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1))) |
(+ a (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ e (* d (+ 1 (+ (/ a d) (/ c d))))) |
(+ b (+ e (* d (+ 1 (+ (/ a d) (/ c d)))))) |
(+ b (+ e (* d (+ 1 (+ (/ a d) (/ c d)))))) |
(+ b (+ e (* d (+ 1 (+ (/ a d) (/ c d)))))) |
(+ 1 (+ (/ a d) (/ c d))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (/ c d))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ a (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ c (+ d e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ a (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ a (+ c d)) e) |
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))) |
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))) |
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))) |
(+ a (+ c d)) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c d))) |
(+ c (+ d e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ a (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ c (+ d e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(/ (+ c d) e) |
(+ (/ b e) (+ (/ c e) (/ d e))) |
(+ (/ b e) (+ (/ c e) (/ d e))) |
(+ (/ b e) (+ (/ c e) (/ d e))) |
(+ c (+ d e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ a (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ c (+ d e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(/ (+ c e) d) |
(+ (/ b d) (+ (/ c d) (/ e d))) |
(+ (/ b d) (+ (/ c d) (/ e d))) |
(+ (/ b d) (+ (/ c d) (/ e d))) |
(+ a c) |
(+ a (+ b c)) |
(+ a (+ b c)) |
(+ a (+ b c)) |
(/ (+ a c) d) |
(+ (/ a d) (+ (/ b d) (/ c d))) |
(+ (/ a d) (+ (/ b d) (/ c d))) |
(+ (/ a d) (+ (/ b d) (/ c d))) |
(+ c d) |
(+ b (+ c d)) |
(+ b (+ c d)) |
(+ b (+ c d)) |
(+ c e) |
(+ b (+ c e)) |
(+ b (+ c e)) |
(+ b (+ c e)) |
b |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
b |
(* b (+ 1 (+ (/ e b) (/ (* d (+ 1 (+ (/ a d) (/ c d)))) b)))) |
(* b (+ 1 (+ (/ e b) (/ (* d (+ 1 (+ (/ a d) (/ c d)))) b)))) |
(* b (+ 1 (+ (/ e b) (/ (* d (+ 1 (+ (/ a d) (/ c d)))) b)))) |
(/ b d) |
(* b (+ (/ 1 b) (+ (/ 1 d) (+ (/ a (* b d)) (/ c (* b d)))))) |
(* b (+ (/ 1 b) (+ (/ 1 d) (+ (/ a (* b d)) (/ c (* b d)))))) |
(* b (+ (/ 1 b) (+ (/ 1 d) (+ (/ a (* b d)) (/ c (* b d)))))) |
(/ b d) |
(* b (+ (/ 1 b) (+ (/ 1 d) (+ (/ a (* b d)) (/ c (* b d)))))) |
(* b (+ (/ 1 b) (+ (/ 1 d) (+ (/ a (* b d)) (/ c (* b d)))))) |
(* b (+ (/ 1 b) (+ (/ 1 d) (+ (/ a (* b d)) (/ c (* b d)))))) |
b |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
b |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
b |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
b |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(/ b e) |
(* b (+ (/ 1 e) (+ (/ a (* b e)) (+ (/ c (* b e)) (/ d (* b e)))))) |
(* b (+ (/ 1 e) (+ (/ a (* b e)) (+ (/ c (* b e)) (/ d (* b e)))))) |
(* b (+ (/ 1 e) (+ (/ a (* b e)) (+ (/ c (* b e)) (/ d (* b e)))))) |
b |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b))))) |
b |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
b |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
b |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(/ b e) |
(* b (+ (/ 1 e) (+ (/ c (* b e)) (/ d (* b e))))) |
(* b (+ (/ 1 e) (+ (/ c (* b e)) (/ d (* b e))))) |
(* b (+ (/ 1 e) (+ (/ c (* b e)) (/ d (* b e))))) |
b |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
b |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b)))))) |
b |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b))))) |
(/ b d) |
(* b (+ (/ 1 d) (+ (/ c (* b d)) (/ e (* b d))))) |
(* b (+ (/ 1 d) (+ (/ c (* b d)) (/ e (* b d))))) |
(* b (+ (/ 1 d) (+ (/ c (* b d)) (/ e (* b d))))) |
b |
(* b (+ 1 (+ (/ a b) (/ c b)))) |
(* b (+ 1 (+ (/ a b) (/ c b)))) |
(* b (+ 1 (+ (/ a b) (/ c b)))) |
(/ b d) |
(* b (+ (/ 1 d) (+ (/ a (* b d)) (/ c (* b d))))) |
(* b (+ (/ 1 d) (+ (/ a (* b d)) (/ c (* b d))))) |
(* b (+ (/ 1 d) (+ (/ a (* b d)) (/ c (* b d))))) |
b |
(* b (+ 1 (+ (/ c b) (/ d b)))) |
(* b (+ 1 (+ (/ c b) (/ d b)))) |
(* b (+ 1 (+ (/ c b) (/ d b)))) |
b |
(* b (+ 1 (+ (/ c b) (/ e b)))) |
(* b (+ 1 (+ (/ c b) (/ e b)))) |
(* b (+ 1 (+ (/ c b) (/ e b)))) |
b |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ c d))))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ c d))))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ c d))))) b)) 1))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (+ 1 (+ (/ a d) (/ c d))) b)) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (+ 1 (+ (/ a d) (/ c d))) b)) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (+ 1 (+ (/ a d) (/ c d))) b)) (/ 1 d)))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (+ 1 (+ (/ a d) (/ c d))) b)) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (+ 1 (+ (/ a d) (/ c d))) b)) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (+ 1 (+ (/ a d) (/ c d))) b)) (/ 1 d)))) |
b |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(/ b e) |
(* -1 (* b (- (* -1 (/ (+ (/ a e) (+ (/ c e) (/ d e))) b)) (/ 1 e)))) |
(* -1 (* b (- (* -1 (/ (+ (/ a e) (+ (/ c e) (/ d e))) b)) (/ 1 e)))) |
(* -1 (* b (- (* -1 (/ (+ (/ a e) (+ (/ c e) (/ d e))) b)) (/ 1 e)))) |
b |
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(/ b e) |
(* -1 (* b (- (* -1 (/ (+ (/ c e) (/ d e)) b)) (/ 1 e)))) |
(* -1 (* b (- (* -1 (/ (+ (/ c e) (/ d e)) b)) (/ 1 e)))) |
(* -1 (* b (- (* -1 (/ (+ (/ c e) (/ d e)) b)) (/ 1 e)))) |
b |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (+ (/ c d) (/ e d)) b)) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (+ (/ c d) (/ e d)) b)) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (+ (/ c d) (/ e d)) b)) (/ 1 d)))) |
b |
(* -1 (* b (- (* -1 (/ (+ a c) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a c) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ a c) b)) 1))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (+ (/ a d) (/ c d)) b)) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (+ (/ a d) (/ c d)) b)) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (+ (/ a d) (/ c d)) b)) (/ 1 d)))) |
b |
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1))) |
b |
(* -1 (* b (- (* -1 (/ (+ c e) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c e) b)) 1))) |
(* -1 (* b (- (* -1 (/ (+ c e) b)) 1))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ e (* d (+ 1 (+ (/ b d) (/ c d))))) |
(+ a (+ e (* d (+ 1 (+ (/ b d) (/ c d)))))) |
(+ a (+ e (* d (+ 1 (+ (/ b d) (/ c d)))))) |
(+ a (+ e (* d (+ 1 (+ (/ b d) (/ c d)))))) |
(+ 1 (+ (/ b d) (/ c d))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ b d) (/ c d))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ b (+ c d)) e) |
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))) |
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))) |
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))) |
(+ b (+ c d)) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c d))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b c) |
(+ a (+ b c)) |
(+ a (+ b c)) |
(+ a (+ b c)) |
(/ (+ b c) d) |
(+ (/ a d) (+ (/ b d) (/ c d))) |
(+ (/ a d) (+ (/ b d) (/ c d))) |
(+ (/ a d) (+ (/ b d) (/ c d))) |
a |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
a |
(* a (+ 1 (+ (/ e a) (/ (* d (+ 1 (+ (/ b d) (/ c d)))) a)))) |
(* a (+ 1 (+ (/ e a) (/ (* d (+ 1 (+ (/ b d) (/ c d)))) a)))) |
(* a (+ 1 (+ (/ e a) (/ (* d (+ 1 (+ (/ b d) (/ c d)))) a)))) |
(/ a d) |
(* a (+ (/ 1 a) (+ (/ 1 d) (+ (/ b (* a d)) (/ c (* a d)))))) |
(* a (+ (/ 1 a) (+ (/ 1 d) (+ (/ b (* a d)) (/ c (* a d)))))) |
(* a (+ (/ 1 a) (+ (/ 1 d) (+ (/ b (* a d)) (/ c (* a d)))))) |
(/ a d) |
(* a (+ (/ 1 a) (+ (/ 1 d) (+ (/ b (* a d)) (/ c (* a d)))))) |
(* a (+ (/ 1 a) (+ (/ 1 d) (+ (/ b (* a d)) (/ c (* a d)))))) |
(* a (+ (/ 1 a) (+ (/ 1 d) (+ (/ b (* a d)) (/ c (* a d)))))) |
a |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
a |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
a |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(/ a e) |
(* a (+ (/ 1 e) (+ (/ b (* a e)) (+ (/ c (* a e)) (/ d (* a e)))))) |
(* a (+ (/ 1 e) (+ (/ b (* a e)) (+ (/ c (* a e)) (/ d (* a e)))))) |
(* a (+ (/ 1 e) (+ (/ b (* a e)) (+ (/ c (* a e)) (/ d (* a e)))))) |
a |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a))))) |
a |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
a |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a)))))) |
a |
(* a (+ 1 (+ (/ b a) (/ c a)))) |
(* a (+ 1 (+ (/ b a) (/ c a)))) |
(* a (+ 1 (+ (/ b a) (/ c a)))) |
(/ a d) |
(* a (+ (/ 1 d) (+ (/ b (* a d)) (/ c (* a d))))) |
(* a (+ (/ 1 d) (+ (/ b (* a d)) (/ c (* a d))))) |
(* a (+ (/ 1 d) (+ (/ b (* a d)) (/ c (* a d))))) |
a |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
a |
(* -1 (* a (- (* -1 (/ (+ e (* d (+ 1 (+ (/ b d) (/ c d))))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ e (* d (+ 1 (+ (/ b d) (/ c d))))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ e (* d (+ 1 (+ (/ b d) (/ c d))))) a)) 1))) |
(/ a d) |
(* -1 (* a (- (* -1 (/ (+ 1 (+ (/ b d) (/ c d))) a)) (/ 1 d)))) |
(* -1 (* a (- (* -1 (/ (+ 1 (+ (/ b d) (/ c d))) a)) (/ 1 d)))) |
(* -1 (* a (- (* -1 (/ (+ 1 (+ (/ b d) (/ c d))) a)) (/ 1 d)))) |
(/ a d) |
(* -1 (* a (- (* -1 (/ (+ 1 (+ (/ b d) (/ c d))) a)) (/ 1 d)))) |
(* -1 (* a (- (* -1 (/ (+ 1 (+ (/ b d) (/ c d))) a)) (/ 1 d)))) |
(* -1 (* a (- (* -1 (/ (+ 1 (+ (/ b d) (/ c d))) a)) (/ 1 d)))) |
a |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
a |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
a |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(/ a e) |
(* -1 (* a (- (* -1 (/ (+ (/ b e) (+ (/ c e) (/ d e))) a)) (/ 1 e)))) |
(* -1 (* a (- (* -1 (/ (+ (/ b e) (+ (/ c e) (/ d e))) a)) (/ 1 e)))) |
(* -1 (* a (- (* -1 (/ (+ (/ b e) (+ (/ c e) (/ d e))) a)) (/ 1 e)))) |
a |
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1))) |
a |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
a |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1))) |
a |
(* -1 (* a (- (* -1 (/ (+ b c) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b c) a)) 1))) |
(* -1 (* a (- (* -1 (/ (+ b c) a)) 1))) |
(/ a d) |
(* -1 (* a (- (* -1 (/ (+ (/ b d) (/ c d)) a)) (/ 1 d)))) |
(* -1 (* a (- (* -1 (/ (+ (/ b d) (/ c d)) a)) (/ 1 d)))) |
(* -1 (* a (- (* -1 (/ (+ (/ b d) (/ c d)) a)) (/ 1 d)))) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) |
(+ e (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))) |
(+ e (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))) |
(+ e (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c d)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ c d) |
(+ c (+ d e)) |
(+ c (+ d e)) |
(+ c (+ d e)) |
d |
(+ d e) |
(+ d e) |
(+ d e) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ a (+ b (+ c d))) e) |
(/ (+ a (+ b (+ c d))) e) |
(/ (+ a (+ b (+ c d))) e) |
(/ (+ a (+ b (+ c d))) e) |
(+ b (+ c d)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c d)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(/ (+ b (+ c d)) e) |
(/ (+ b (+ c d)) e) |
(/ (+ b (+ c d)) e) |
(/ (+ b (+ c d)) e) |
(+ b (+ c d)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c d)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(/ (+ b c) d) |
(+ (/ b d) (+ (/ c d) (/ e d))) |
(+ (/ b d) (+ (/ c d) (/ e d))) |
(+ (/ b d) (+ (/ c d) (/ e d))) |
(+ b c) |
(+ b (+ c e)) |
(+ b (+ c e)) |
(+ b (+ c e)) |
e |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
e |
(* e (+ 1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e))) |
(* e (+ 1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e))) |
(* e (+ 1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e))) |
e |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
e |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
e |
(* e (+ 1 (+ (/ c e) (/ d e)))) |
(* e (+ 1 (+ (/ c e) (/ d e)))) |
(* e (+ 1 (+ (/ c e) (/ d e)))) |
e |
(* e (+ 1 (/ d e))) |
(* e (+ 1 (/ d e))) |
(* e (+ 1 (/ d e))) |
e |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
e |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(/ (+ a (+ b (+ c d))) e) |
(/ (+ a (+ b (+ c d))) e) |
(/ (+ a (+ b (+ c d))) e) |
(/ (+ a (+ b (+ c d))) e) |
e |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
e |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
e |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(/ (+ b (+ c d)) e) |
(/ (+ b (+ c d)) e) |
(/ (+ b (+ c d)) e) |
(/ (+ b (+ c d)) e) |
e |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
e |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))))) |
e |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e))))) |
(/ e d) |
(* e (+ (/ 1 d) (+ (/ b (* d e)) (/ c (* d e))))) |
(* e (+ (/ 1 d) (+ (/ b (* d e)) (/ c (* d e))))) |
(* e (+ (/ 1 d) (+ (/ b (* d e)) (/ c (* d e))))) |
e |
(* e (+ 1 (+ (/ b e) (/ c e)))) |
(* e (+ 1 (+ (/ b e) (/ c e)))) |
(* e (+ 1 (+ (/ b e) (/ c e)))) |
e |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ d e)) 1))) |
(* -1 (* e (- (* -1 (/ d e)) 1))) |
(* -1 (* e (- (* -1 (/ d e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(/ (+ a (+ b (+ c d))) e) |
(/ (+ a (+ b (+ c d))) e) |
(/ (+ a (+ b (+ c d))) e) |
(/ (+ a (+ b (+ c d))) e) |
e |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(/ (+ b (+ c d)) e) |
(/ (+ b (+ c d)) e) |
(/ (+ b (+ c d)) e) |
(/ (+ b (+ c d)) e) |
e |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1))) |
e |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1))) |
(/ e d) |
(* -1 (* e (- (* -1 (/ (+ (/ b d) (/ c d)) e)) (/ 1 d)))) |
(* -1 (* e (- (* -1 (/ (+ (/ b d) (/ c d)) e)) (/ 1 d)))) |
(* -1 (* e (- (* -1 (/ (+ (/ b d) (/ c d)) e)) (/ 1 d)))) |
e |
(* -1 (* e (- (* -1 (/ (+ b c) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b c) e)) 1))) |
(* -1 (* e (- (* -1 (/ (+ b c) e)) 1))) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ a (+ b c)) d) |
(/ (+ a (+ b (+ c d))) d) |
(/ (+ a (+ b (+ c d))) d) |
(/ (+ a (+ b (+ c d))) d) |
(/ (+ a (+ b c)) d) |
(/ (+ a (+ b (+ c d))) d) |
(/ (+ a (+ b (+ c d))) d) |
(/ (+ a (+ b (+ c d))) d) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ c e) |
(+ c (+ d e)) |
(+ c (+ d e)) |
(+ c (+ d e)) |
e |
(+ d e) |
(+ d e) |
(+ d e) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(/ (+ a (+ b c)) e) |
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))) |
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))) |
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e)))) |
(+ a (+ b c)) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c d))) |
(+ a (+ b (+ c d))) |
(+ b (+ c e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(/ (+ b c) e) |
(+ (/ b e) (+ (/ c e) (/ d e))) |
(+ (/ b e) (+ (/ c e) (/ d e))) |
(+ (/ b e) (+ (/ c e) (/ d e))) |
(+ b (+ c e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ a (+ b (+ c e))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ a (+ b (+ c (+ d e)))) |
(+ b (+ c e)) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(+ b (+ c (+ d e))) |
(/ (+ b (+ c e)) d) |
(/ (+ b (+ c e)) d) |
(/ (+ b (+ c e)) d) |
(/ (+ b (+ c e)) d) |
(/ (+ a (+ b c)) d) |
(/ (+ a (+ b c)) d) |
(/ (+ a (+ b c)) d) |
(/ (+ a (+ b c)) d) |
(+ b c) |
(+ b (+ c d)) |
(+ b (+ c d)) |
(+ b (+ c d)) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
1 |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
1 |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
d |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
d |
(* d (+ 1 (+ (/ c d) (/ e d)))) |
(* d (+ 1 (+ (/ c d) (/ e d)))) |
(* d (+ 1 (+ (/ c d) (/ e d)))) |
d |
(* d (+ 1 (/ e d))) |
(* d (+ 1 (/ e d))) |
(* d (+ 1 (/ e d))) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(/ d e) |
(* d (+ (/ 1 e) (+ (/ a (* d e)) (+ (/ b (* d e)) (/ c (* d e)))))) |
(* d (+ (/ 1 e) (+ (/ a (* d e)) (+ (/ b (* d e)) (/ c (* d e)))))) |
(* d (+ (/ 1 e) (+ (/ a (* d e)) (+ (/ b (* d e)) (/ c (* d e)))))) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) |
d |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
d |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(/ d e) |
(* d (+ (/ 1 e) (+ (/ b (* d e)) (/ c (* d e))))) |
(* d (+ (/ 1 e) (+ (/ b (* d e)) (/ c (* d e))))) |
(* d (+ (/ 1 e) (+ (/ b (* d e)) (/ c (* d e))))) |
d |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
d |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d)))))) |
d |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d))))) |
(/ (+ b (+ c e)) d) |
(/ (+ b (+ c e)) d) |
(/ (+ b (+ c e)) d) |
(/ (+ b (+ c e)) d) |
(/ (+ a (+ b c)) d) |
(/ (+ a (+ b c)) d) |
(/ (+ a (+ b c)) d) |
(/ (+ a (+ b c)) d) |
d |
(* d (+ 1 (+ (/ b d) (/ c d)))) |
(* d (+ 1 (+ (/ b d) (/ c d)))) |
(* d (+ 1 (+ (/ b d) (/ c d)))) |
d |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ e (* -1 (+ (* -1 a) (+ (* -1 b) (* -1 c))))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ e (* -1 (+ (* -1 a) (+ (* -1 b) (* -1 c))))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ e (* -1 (+ (* -1 a) (+ (* -1 b) (* -1 c))))) d)) 1))) |
1 |
(+ 1 (* -1 (/ (+ (* -1 a) (+ (* -1 b) (* -1 c))) d))) |
(+ 1 (* -1 (/ (+ (* -1 a) (+ (* -1 b) (* -1 c))) d))) |
(+ 1 (* -1 (/ (+ (* -1 a) (+ (* -1 b) (* -1 c))) d))) |
1 |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))) |
d |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ e d)) 1))) |
(* -1 (* d (- (* -1 (/ e d)) 1))) |
(* -1 (* d (- (* -1 (/ e d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(/ d e) |
(* -1 (* d (- (* -1 (/ (+ (/ a e) (+ (/ b e) (/ c e))) d)) (/ 1 e)))) |
(* -1 (* d (- (* -1 (/ (+ (/ a e) (+ (/ b e) (/ c e))) d)) (/ 1 e)))) |
(* -1 (* d (- (* -1 (/ (+ (/ a e) (+ (/ b e) (/ c e))) d)) (/ 1 e)))) |
d |
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(/ d e) |
(* -1 (* d (- (* -1 (/ (+ (/ b e) (/ c e)) d)) (/ 1 e)))) |
(* -1 (* d (- (* -1 (/ (+ (/ b e) (/ c e)) d)) (/ 1 e)))) |
(* -1 (* d (- (* -1 (/ (+ (/ b e) (/ c e)) d)) (/ 1 e)))) |
d |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1))) |
d |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1))) |
(/ (+ b (+ c e)) d) |
(/ (+ b (+ c e)) d) |
(/ (+ b (+ c e)) d) |
(/ (+ b (+ c e)) d) |
(/ (+ a (+ b c)) d) |
(/ (+ a (+ b c)) d) |
(/ (+ a (+ b c)) d) |
(/ (+ a (+ b c)) d) |
d |
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) |
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
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| 6 640× | lower-*.f64 |
| 6 640× | lower-*.f32 |
| 4 016× | lower-/.f64 |
| 4 016× | lower-/.f32 |
| 2 502× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 496 | 13170 |
| 0 | 496 | 12594 |
| 1 | 3873 | 12558 |
| 0 | 9153 | 12516 |
| 1× | iter limit |
| 1× | node limit |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) |
(fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e) |
#s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) |
(+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) |
#s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)) |
(+.f64 (+.f64 e d) c) |
(+.f64 e d) |
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)) |
(/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) |
(+.f64 (+.f64 (+.f64 c d) b) a) |
(fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e) |
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a) |
#s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) |
(/.f64 (+.f64 (+.f64 c d) b) e) |
(fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d) |
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) |
#s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) |
(/.f64 (+.f64 (+.f64 c e) b) d) |
(+.f64 (+.f64 c b) a) |
(/.f64 (+.f64 (+.f64 c b) a) d) |
(+.f64 (+.f64 c d) b) |
(+.f64 (+.f64 c e) b) |
| Outputs |
|---|
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Compiled 18 199 to 1 372 computations (92.5% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 184 | 0 | 1 184 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 184 | 9 | 1 193 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.4% | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| ✓ | 99.4% | (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) |
| ✓ | 99.5% | (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a) |
| ✓ | 99.4% | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)) |
| ✓ | 99.6% | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)) |
| ✓ | 99.7% | #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) |
| ✓ | 25.7% | #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) |
| ✓ | 23.2% | #s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) |
| ✓ | 21.1% | #s(approx (+ e d) (+.f64 d e)) |
Compiled 237 to 153 computations (35.4% saved)
| Inputs |
|---|
#s(approx (+ e d) (+.f64 d e)) |
#s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) |
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) b) a) c) c c)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)) |
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a) |
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) |
9 calls:
| 9.0ms | a |
| 7.0ms | (+.f64 (+.f64 (+.f64 e d) c) b) |
| 7.0ms | d |
| 5.0ms | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| 5.0ms | (+.f64 e d) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | a |
| 99.7% | 1 | b |
| 99.7% | 1 | c |
| 99.7% | 1 | d |
| 99.7% | 1 | e |
| 99.7% | 1 | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| 99.7% | 1 | (+.f64 (+.f64 (+.f64 e d) c) b) |
| 99.7% | 1 | (+.f64 (+.f64 e d) c) |
| 99.7% | 1 | (+.f64 e d) |
Compiled 29 to 55 computations (-89.7% saved)
| Inputs |
|---|
#s(approx (+ e d) (+.f64 d e)) |
#s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) |
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) b) a) c) c c)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)) |
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a) |
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) |
| Outputs |
|---|
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) |
9 calls:
| 196.0ms | d |
| 7.0ms | (+.f64 (+.f64 e d) c) |
| 5.0ms | (+.f64 e d) |
| 5.0ms | (+.f64 (+.f64 (+.f64 e d) c) b) |
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | a |
| 99.7% | 1 | b |
| 99.7% | 1 | c |
| 99.7% | 1 | d |
| 99.7% | 1 | e |
| 99.7% | 1 | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| 99.7% | 1 | (+.f64 (+.f64 (+.f64 e d) c) b) |
| 99.7% | 1 | (+.f64 (+.f64 e d) c) |
| 99.7% | 1 | (+.f64 e d) |
Compiled 29 to 55 computations (-89.7% saved)
| Inputs |
|---|
#s(approx (+ e d) (+.f64 d e)) |
#s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) |
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
9 calls:
| 46.0ms | e |
| 3.0ms | (+.f64 (+.f64 (+.f64 e d) c) b) |
| 3.0ms | d |
| 3.0ms | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 1 | c |
| 99.4% | 1 | d |
| 99.4% | 1 | e |
| 99.4% | 1 | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| 99.4% | 1 | (+.f64 (+.f64 (+.f64 e d) c) b) |
| 99.4% | 1 | (+.f64 (+.f64 e d) c) |
| 99.4% | 1 | (+.f64 e d) |
Compiled 29 to 55 computations (-89.7% saved)
| Inputs |
|---|
#s(approx (+ e d) (+.f64 d e)) |
#s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) |
9 calls:
| 6.0ms | (+.f64 (+.f64 (+.f64 e d) c) b) |
| 2.0ms | (+.f64 (+.f64 e d) c) |
| 2.0ms | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| 2.0ms | (+.f64 e d) |
| 2.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.7% | 1 | a |
| 25.7% | 1 | b |
| 25.7% | 1 | c |
| 25.7% | 1 | d |
| 25.7% | 1 | e |
| 25.7% | 1 | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| 25.7% | 1 | (+.f64 (+.f64 (+.f64 e d) c) b) |
| 25.7% | 1 | (+.f64 (+.f64 e d) c) |
| 25.7% | 1 | (+.f64 e d) |
Compiled 29 to 55 computations (-89.7% saved)
| Inputs |
|---|
#s(approx (+ e d) (+.f64 d e)) |
#s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) |
| Outputs |
|---|
#s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c)) |
9 calls:
| 5.0ms | c |
| 2.0ms | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| 2.0ms | (+.f64 (+.f64 e d) c) |
| 2.0ms | (+.f64 (+.f64 (+.f64 e d) c) b) |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 23.2% | 1 | b |
| 23.2% | 1 | e |
| 23.2% | 1 | (+.f64 e d) |
| 23.2% | 1 | a |
| 23.2% | 1 | c |
| 23.2% | 1 | d |
| 23.2% | 1 | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| 23.2% | 1 | (+.f64 (+.f64 (+.f64 e d) c) b) |
| 23.2% | 1 | (+.f64 (+.f64 e d) c) |
Compiled 29 to 55 computations (-89.7% saved)
| Inputs |
|---|
#s(approx (+ e d) (+.f64 d e)) |
| Outputs |
|---|
#s(approx (+ e d) (+.f64 d e)) |
9 calls:
| 3.0ms | (+.f64 (+.f64 e d) c) |
| 1.0ms | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| 1.0ms | (+.f64 (+.f64 (+.f64 e d) c) b) |
| 1.0ms | (+.f64 e d) |
| 1.0ms | e |
| Accuracy | Segments | Branch |
|---|---|---|
| 21.1% | 1 | e |
| 21.1% | 1 | (+.f64 (+.f64 e d) c) |
| 21.1% | 1 | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| 21.1% | 1 | (+.f64 (+.f64 (+.f64 e d) c) b) |
| 21.1% | 1 | (+.f64 e d) |
| 21.1% | 1 | b |
| 21.1% | 1 | d |
| 21.1% | 1 | a |
| 21.1% | 1 | c |
Compiled 29 to 55 computations (-89.7% saved)
| 1× | egg-herbie |
| 22× | +-commutative-binary64-+.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 106 |
| 1 | 56 | 106 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) |
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) |
#s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c)) |
#s(approx (+ e d) (+.f64 d e)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
| 4 812× | lower-/.f64 |
| 4 812× | lower-/.f32 |
| 4 764× | lower-*.f64 |
| 4 764× | lower-*.f32 |
| 2 988× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 1600 |
| 0 | 151 | 1516 |
| 1 | 1184 | 1516 |
| 0 | 8172 | 1516 |
| 1× | iter limit |
| 1× | node limit |
| 1× | saturated |
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