
Time bar (total: 8.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 4 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 5 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 6 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 7 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 8 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 9 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 10 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 11 |
| 97% | 50% | 1.6% | 0.1% | 0% | 48.4% | 0% | 12 |
Compiled 16 to 14 computations (12.5% saved)
| 1.1s | 8 256× | 0 | valid |
| 24.0ms | 247× | 0 | invalid |
ival-sqrt: 262.0ms (37.8% of total)ival-mult: 197.0ms (28.4% of total)ival-sub: 115.0ms (16.6% of total)ival-div: 60.0ms (8.6% of total)ival-add: 40.0ms (5.8% of total)exact: 11.0ms (1.6% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 9 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 9 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 39.0ms | 512× | 0 | valid |
Compiled 165 to 52 computations (68.5% saved)
ival-mult: 9.0ms (40.1% of total)ival-div: 4.0ms (17.8% of total)ival-sqrt: 4.0ms (17.8% of total)ival-sub: 2.0ms (8.9% of total)ival-add: 2.0ms (8.9% of total)exact: 1.0ms (4.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 78 |
| 1 | 84 | 64 |
| 2 | 304 | 62 |
| 3 | 1272 | 62 |
| 4 | 3592 | 62 |
| 5 | 5843 | 62 |
| 6 | 7559 | 62 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 34 | 12 |
| 2 | 75 | 12 |
| 3 | 186 | 12 |
| 4 | 324 | 12 |
| 5 | 425 | 12 |
| 6 | 841 | 12 |
| 7 | 1707 | 12 |
| 8 | 2627 | 12 |
| 9 | 3358 | 12 |
| 10 | 3543 | 12 |
| 11 | 3573 | 12 |
| 12 | 3574 | 12 |
| 13 | 3574 | 12 |
| 14 | 3776 | 12 |
| 15 | 4021 | 12 |
| 16 | 4491 | 12 |
| 17 | 4491 | 12 |
| 18 | 4491 | 12 |
| 0 | 4491 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
Compiled 14 to 12 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 49 |
| 0 | 19 | 49 |
| 1 | 34 | 41 |
| 2 | 75 | 41 |
| 3 | 186 | 41 |
| 4 | 324 | 41 |
| 5 | 425 | 41 |
| 6 | 841 | 41 |
| 7 | 1707 | 41 |
| 8 | 2627 | 41 |
| 9 | 3358 | 41 |
| 10 | 3543 | 41 |
| 11 | 3573 | 41 |
| 12 | 3574 | 41 |
| 13 | 3574 | 41 |
| 14 | 3776 | 41 |
| 15 | 4021 | 41 |
| 16 | 4491 | 41 |
| 17 | 4491 | 41 |
| 18 | 4491 | 41 |
| 0 | 4491 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1 binary64) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| accuracy | 0.18978500976844204 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| accuracy | 0.33984375 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.47239567164175944 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 35.0ms | 256× | 0 | valid |
Compiled 100 to 26 computations (74% saved)
ival-mult: 4.0ms (36.3% of total)ival-div: 2.0ms (18.2% of total)ival-sqrt: 2.0ms (18.2% of total)ival-sub: 1.0ms (9.1% of total)ival-add: 1.0ms (9.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 2.0ms | x | @ | 0 | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | x | @ | inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | y | @ | 0 | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | y | @ | inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 570 |
| 1 | 195 | 543 |
| 2 | 610 | 543 |
| 3 | 2212 | 541 |
| 4 | 6059 | 541 |
| 0 | 8416 | 509 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(/ 1/9 x) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
| Outputs |
|---|
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
y |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
y |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
y |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
y |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 66 | 26 |
| 2 | 521 | 26 |
| 3 | 6476 | 26 |
| 0 | 8295 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| Outputs |
|---|
#<batchref> |
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#<batchref> |
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#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 6 423 to 796 computations (87.6% saved)
24 alts after pruning (24 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 258 | 24 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 259 | 24 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| 99.4% | (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| ▶ | 99.5% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
| ▶ | 74.9% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
| 44.7% | (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))) | |
| ▶ | 99.3% | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
| ▶ | 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
| 99.1% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) | |
| 99.4% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 99.2% | (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 99.2% | (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) | |
| 64.8% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64))) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 1 binary64))) | |
| 64.6% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)))) #s(literal 1 binary64))) | |
| 62.8% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) | |
| 66.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 69.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) | |
| 64.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) | |
| 62.9% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| ▶ | 37.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| 34.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
Compiled 1 054 to 750 computations (28.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 960 | (-.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| cost-diff | 1664 | (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| cost-diff | 1920 | (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| cost-diff | 3520 | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 0 | (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| cost-diff | 6976 | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 0 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 128 | (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) | |
| cost-diff | 832 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 325 |
| 0 | 57 | 286 |
| 1 | 118 | 252 |
| 2 | 346 | 251 |
| 3 | 1699 | 251 |
| 0 | 8573 | 245 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
x |
y |
#s(literal 3 binary64) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(-.f64 (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
#s(literal -3 binary64) |
(-.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
y |
#s(literal 3 binary64) |
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(pow.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 9 binary64) x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (*.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
#s(literal -3 binary64) |
(*.f64 (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.336601269536884 | (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.34212875976844204 | (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.4140625 | (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| accuracy | 14.12154268278474 | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.1171875 | (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) | |
| accuracy | 0.22265625 | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0.2890625 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.328125 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.00390625 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0.1328125 | (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) | |
| accuracy | 0.2890625 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.32259750976844204 | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.2109375 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 0.21875 | (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) | |
| accuracy | 36.37104863893317 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) | |
| accuracy | 0.10546875 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.2109375 | (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) | |
| accuracy | 0.2890625 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.336601269536884 | (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| 111.0ms | 208× | 0 | valid |
| 48.0ms | 23× | 5 | exit |
| 22.0ms | 9× | 2 | valid |
| 7.0ms | 13× | 1 | valid |
| 3.0ms | 3× | 3 | valid |
Compiled 648 to 75 computations (88.4% saved)
ival-div: 51.0ms (34.4% of total)ival-mult: 41.0ms (27.7% of total)ival-add: 27.0ms (18.2% of total)adjust: 9.0ms (6.1% of total)ival-sub: 6.0ms (4% of total)const: 5.0ms (3.4% of total)ival-pow: 5.0ms (3.4% of total)ival-sqrt: 4.0ms (2.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ()) |
| Outputs |
|---|
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (+ y (/ 1/9 x)) 3) (sqrt x) (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (/ (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1)) (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1) (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (* (* -3 (sqrt x)) (* -3 (sqrt x))) (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) |
| 9.0ms | y | @ | 0 | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (+ y (/ 1/9 x)) 3) (sqrt x) (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (/ (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1)) (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1) (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (* (* -3 (sqrt x)) (* -3 (sqrt x))) (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) |
| 6.0ms | x | @ | 0 | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (+ y (/ 1/9 x)) 3) (sqrt x) (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (/ (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1)) (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1) (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (* (* -3 (sqrt x)) (* -3 (sqrt x))) (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) |
| 5.0ms | x | @ | inf | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (+ y (/ 1/9 x)) 3) (sqrt x) (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (/ (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1)) (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1) (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (* (* -3 (sqrt x)) (* -3 (sqrt x))) (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) |
| 4.0ms | y | @ | -inf | ((+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (+ y (/ 1/9 x)) 3) (sqrt x) (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) y) 3) (* (sqrt x) y) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (+ y (/ 1/9 x)) (/ 1/9 x) (/ (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1)) (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1) (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (* (* -3 (sqrt x)) (* -3 (sqrt x))) (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 624 | 7367 |
| 1 | 1954 | 6190 |
| 2 | 6747 | 6099 |
| 0 | 8546 | 5691 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(/ 1/3 x) |
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(+ (* 3 y) (* 1/3 (/ 1 x))) |
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(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
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(- (* 1/3 (/ 1 x)) 3) |
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(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
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(+ y (* 1/9 (/ 1 x))) |
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(+ y (* 1/9 (/ 1 x))) |
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(/ (- (* 1/9 (/ 1 x)) (* 9 x)) (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))) |
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(/ 1/9 x) |
(+ (* 2 y) (* 1/9 (/ 1 x))) |
(+ (* y (+ 2 (* 9 (* x y)))) (* 1/9 (/ 1 x))) |
(+ (* y (+ 2 (* 9 (* x y)))) (* 1/9 (/ 1 x))) |
(- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) |
(- (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) (* -3 (sqrt x))) |
(- (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) (* -3 (sqrt x))) |
(- (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) (* -3 (sqrt x))) |
(* 3 (* (sqrt x) y)) |
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(* 3 y) |
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(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
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(/ 1 y) |
(/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y) |
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(* 3 (* (sqrt x) y)) |
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(* 3 y) |
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(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
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(* 3 y) |
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(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
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(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
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(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(/ 1 y) |
(* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y)) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (- (+ (* -3 (sqrt x)) (* 2/3 (sqrt (/ 1 x)))) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (- (+ (* -3 (sqrt x)) (+ (* -1 (/ (- (* -1/3 (* (sqrt (/ 1 x)) (- (* 1/9 (/ 1 x)) (* 9 x)))) (* -1/3 (* (sqrt (/ 1 x)) (* (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) (- (+ (* -3 (sqrt x)) (* 2/3 (sqrt (/ 1 x)))) (* 1/3 (sqrt (/ 1 x)))))))) y)) (* 2/3 (sqrt (/ 1 x))))) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (- (+ (* -3 (sqrt x)) (+ (* -1 (/ (- (+ (* -1/3 (* (sqrt (/ 1 x)) (- (* 1/9 (/ 1 x)) (* 9 x)))) (* -1/3 (* (sqrt (/ 1 x)) (/ (* (- (* -1/3 (* (sqrt (/ 1 x)) (- (* 1/9 (/ 1 x)) (* 9 x)))) (* -1/3 (* (sqrt (/ 1 x)) (* (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) (- (+ (* -3 (sqrt x)) (* 2/3 (sqrt (/ 1 x)))) (* 1/3 (sqrt (/ 1 x)))))))) (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x)))) y)))) (* -1/3 (* (sqrt (/ 1 x)) (* (- (* 1/3 (sqrt (/ 1 x))) (* -3 (sqrt x))) (- (+ (* -3 (sqrt x)) (* 2/3 (sqrt (/ 1 x)))) (* 1/3 (sqrt (/ 1 x)))))))) y)) (* 2/3 (sqrt (/ 1 x))))) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* 9 (* x (pow y 2))) |
(* (pow y 2) (+ (* 9 x) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 y))))) |
(* (pow y 2) (+ (* 9 x) (+ (/ 1/9 (* x (pow y 2))) (* 2 (/ 1 y))))) |
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(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(* 1/3 (sqrt (/ 1 x))) |
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(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) y)) |
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(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ 1/3 x) |
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(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 9 x) |
(* x (+ 9 (* -81 (* x (- y 1))))) |
(* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1)))))) |
(* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* x (- (+ (* -3 (sqrt (/ 1 x))) (* 6 (* (sqrt (/ 1 x)) y))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* x (- (+ (* -3 (sqrt (/ 1 x))) (+ (* 6 (* (sqrt (/ 1 x)) y)) (* x (- (* 3 (* (sqrt (/ 1 x)) (- (* 9 (pow y 2)) 9))) (* 3 (* (sqrt (/ 1 x)) (* (- (* 3 (* (sqrt x) y)) (* -3 (sqrt x))) (- (+ (* -3 (sqrt (/ 1 x))) (* 6 (* (sqrt (/ 1 x)) y))) (* 3 (* (sqrt (/ 1 x)) y)))))))))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* x (- (+ (* -3 (sqrt (/ 1 x))) (+ (* 6 (* (sqrt (/ 1 x)) y)) (* x (- (+ (* -3 (* (sqrt x) (* (- (* 3 (* (sqrt x) y)) (* -3 (sqrt x))) (- (* 3 (* (sqrt (/ 1 x)) (- (* 9 (pow y 2)) 9))) (* 3 (* (sqrt (/ 1 x)) (* (- (* 3 (* (sqrt x) y)) (* -3 (sqrt x))) (- (+ (* -3 (sqrt (/ 1 x))) (* 6 (* (sqrt (/ 1 x)) y))) (* 3 (* (sqrt (/ 1 x)) y)))))))))) (* 3 (* (sqrt (/ 1 x)) (- (* 9 (pow y 2)) 9)))) (* 3 (* (sqrt (/ 1 x)) (* (- (* 3 (* (sqrt x) y)) (* -3 (sqrt x))) (- (+ (* -3 (sqrt (/ 1 x))) (* 6 (* (sqrt (/ 1 x)) y))) (* 3 (* (sqrt (/ 1 x)) y)))))))))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(/ 1/9 x) |
(/ (+ 1/9 (* 2 (* x y))) x) |
(/ (+ 1/9 (* x (+ (* 2 y) (* 9 (* x (pow y 2)))))) x) |
(/ (+ 1/9 (* x (+ (* 2 y) (* 9 (* x (pow y 2)))))) x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (- (* 3 (* (sqrt x) y)) (* -3 (sqrt x))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (- (* 3 (* (sqrt x) y)) (* -3 (sqrt x))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (- (* 3 (* (sqrt x) y)) (* -3 (sqrt x))))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* 3 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* 3 (* (sqrt x) y)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(/ 1 (- y 1)) |
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2))))) |
(- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2)))) |
(- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4)))))) |
(/ (- (* 9 (pow y 2)) 9) (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x))))) |
(- (+ (* 2 (/ y (* x (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x))))))) (* 9 (/ (pow y 2) (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x))))))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (- (* 9 (pow y 2)) 9) (pow (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x)))) 2)))) (* 9 (/ 1 (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x)))))))) |
(- (+ (* 2 (/ y (* x (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x))))))) (+ (* 9 (/ (pow y 2) (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x)))))) (* 1/9 (/ 1 (* (pow x 2) (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x))))))))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (- (* 9 (pow y 2)) 9) (pow (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x)))) 2)))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 5))) (/ (- (* 2 (/ y (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (pow (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x)))) 2))))) (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x))))))) (* 9 (/ 1 (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x))))))))) |
(- (+ (* -1/3 (* (sqrt (/ 1 (pow x 7))) (/ (- (* 1/9 (/ 1 (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* 2 (/ y (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (pow (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x)))) 2))))) (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x)))))))) (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x))))))) (+ (* 2 (/ y (* x (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x))))))) (+ (* 9 (/ (pow y 2) (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x)))))) (* 1/9 (/ 1 (* (pow x 2) (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x)))))))))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (- (* 9 (pow y 2)) 9) (pow (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x)))) 2)))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 5))) (/ (- (* 2 (/ y (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x)))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- (* 9 (pow y 2)) 9) (pow (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x)))) 2))))) (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x))))))) (* 9 (/ 1 (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x))))))))) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 (* x (pow y 2))) |
(* x (+ (* 2 (/ y x)) (* 9 (pow y 2)))) |
(* x (+ (* 2 (/ y x)) (+ (* 9 (pow y 2)) (/ 1/9 (pow x 2))))) |
(* x (+ (* 2 (/ y x)) (+ (* 9 (pow y 2)) (/ 1/9 (pow x 2))))) |
(* x (- (* 3 (* (sqrt (/ 1 x)) y)) (* -3 (sqrt (/ 1 x))))) |
(* x (- (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))) (* -3 (sqrt (/ 1 x))))) |
(* x (- (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))) (* -3 (sqrt (/ 1 x))))) |
(* x (- (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))) (* -3 (sqrt (/ 1 x))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* 3 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ 1 (- y 1)) |
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2))))) |
(+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1))) |
(/ (- (* 9 (* (pow y 2) (pow (sqrt -1) 2))) (* 9 (pow (sqrt -1) 2))) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(- (+ (* -1 (/ (- (* -2 (/ (* y (pow (sqrt -1) 2)) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1/3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (* (pow y 2) (pow (sqrt -1) 2))) (* 9 (pow (sqrt -1) 2)))) (pow (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 9 (/ (* (pow y 2) (pow (sqrt -1) 2)) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 9 (/ (pow (sqrt -1) 2) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(- (+ (* -1 (/ (- (+ (* -2 (/ (* y (pow (sqrt -1) 2)) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* 1/9 (/ (pow (sqrt -1) 2) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1/3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* -2 (/ (* y (pow (sqrt -1) 2)) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1/3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (* (pow y 2) (pow (sqrt -1) 2))) (* 9 (pow (sqrt -1) 2)))) (pow (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))))) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) x))) (* -1/3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (* (pow y 2) (pow (sqrt -1) 2))) (* 9 (pow (sqrt -1) 2)))) (pow (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 9 (/ (* (pow y 2) (pow (sqrt -1) 2)) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 9 (/ (pow (sqrt -1) 2) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(- (+ (* -1 (/ (- (+ (* -2 (/ (* y (pow (sqrt -1) 2)) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ (* (pow (sqrt -1) 2) (- (* 1/9 (/ (pow (sqrt -1) 2) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1/3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* -2 (/ (* y (pow (sqrt -1) 2)) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1/3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (* (pow y 2) (pow (sqrt -1) 2))) (* 9 (pow (sqrt -1) 2)))) (pow (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))))) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 1/9 (/ (pow (sqrt -1) 2) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* -1/3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* -2 (/ (* y (pow (sqrt -1) 2)) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1/3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (* (pow y 2) (pow (sqrt -1) 2))) (* 9 (pow (sqrt -1) 2)))) (pow (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))))) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) x))) (* -1/3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (* 9 (* (pow y 2) (pow (sqrt -1) 2))) (* 9 (pow (sqrt -1) 2)))) (pow (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 9 (/ (* (pow y 2) (pow (sqrt -1) 2)) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 9 (/ (pow (sqrt -1) 2) (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -9 (* x (pow (sqrt -1) 2))) |
(* -9 (* x (pow (sqrt -1) 2))) |
(* -9 (* x (pow (sqrt -1) 2))) |
(* -9 (* x (pow (sqrt -1) 2))) |
(* -9 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* 2 (/ (* y (pow (sqrt -1) 2)) x)) (* 9 (* (pow y 2) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* y (pow (sqrt -1) 2))) (* -1/9 (/ (pow (sqrt -1) 2) x))) x)) (* 9 (* (pow y 2) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -2 (* y (pow (sqrt -1) 2))) (* -1/9 (/ (pow (sqrt -1) 2) x))) x)) (* 9 (* (pow y 2) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(/.f64 #s(literal 1/3 binary64) x) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/81 binary64) (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x))) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/729 binary64) (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 4 binary64)) x))) x)) x)) |
(/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 y y) #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
(-.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 y y) #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 y y) #s(literal 9 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) x)) |
(-.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 y y) #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 y y) #s(literal 9 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 y y) #s(literal 9 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) x))) x)) |
(-.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 y y) #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 y y) #s(literal 9 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 y y) #s(literal 9 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) #s(literal -1/3 binary64) (fma.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 y y) #s(literal 9 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))) x))) x)) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64)) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -9 binary64) (*.f64 y y) (/.f64 (*.f64 #s(literal -2 binary64) y) x))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 #s(literal 1/9 binary64) x)) x) x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 #s(literal 1/9 binary64) x)) x) x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 9 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 210 |
| 0 | 57 | 165 |
| 1 | 247 | 146 |
| 2 | 2157 | 146 |
| 0 | 8441 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) |
(sqrt.f64 x) |
(*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(-.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
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Compiled 101 315 to 4 055 computations (96% saved)
27 alts after pruning (25 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 546 | 20 | 2 566 |
| Fresh | 14 | 5 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 563 | 27 | 2 590 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
| 62.9% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) | |
| 64.0% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) | |
| ▶ | 34.3% | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x))) |
| 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| ✓ | 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
| 62.8% | (*.f64 (fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| ▶ | 99.4% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| 99.4% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) | |
| 62.8% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) | |
| 64.0% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) | |
| 93.0% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) | |
| 34.4% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) | |
| 62.9% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) | |
| 37.4% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) | |
| 93.8% | #s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))) | |
| 50.6% | #s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) | |
| 62.4% | #s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -9 binary64) x (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) | |
| 34.4% | #s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 87.9% | #s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) y)))) | |
| 81.1% | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 57.5% | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| 80.5% | #s(approx (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) y)) | |
| ✓ | 37.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| ▶ | 37.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
| ▶ | 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
Compiled 1 412 to 919 computations (34.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) | |
| cost-diff | 0 | (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) | |
| cost-diff | 960 | (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 0 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| cost-diff | 0 | (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) | |
| cost-diff | 128 | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 216 |
| 0 | 61 | 212 |
| 1 | 108 | 208 |
| 2 | 210 | 208 |
| 3 | 381 | 206 |
| 4 | 666 | 206 |
| 5 | 1168 | 206 |
| 6 | 2029 | 206 |
| 7 | 3504 | 206 |
| 8 | 4024 | 206 |
| 9 | 4571 | 206 |
| 10 | 4716 | 206 |
| 11 | 4765 | 206 |
| 12 | 4779 | 206 |
| 13 | 4868 | 206 |
| 14 | 4904 | 206 |
| 15 | 4904 | 206 |
| 16 | 5064 | 206 |
| 17 | 5496 | 206 |
| 18 | 5544 | 206 |
| 19 | 5544 | 206 |
| 20 | 5544 | 206 |
| 0 | 5544 | 206 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(sqrt.f64 x) |
x |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
y |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
#s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
y |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
#s(literal -3 binary64) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
y |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
#s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
y |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
#s(literal -3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1875 | (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.30078125 | (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) | |
| accuracy | 0.3203125 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.33984375 | (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.0078125 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0.18978500976844204 | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| accuracy | 0.3203125 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.33984375 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.23828125 | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x))) | |
| accuracy | 0.33984375 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 41.829288738331655 | #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.19140625 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) | |
| accuracy | 0.33984375 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 39.962626884606436 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) | |
| accuracy | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) | |
| accuracy | 0.0703125 | (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.34212875976844204 | (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) | |
| accuracy | 0.3828125 | (/.f64 #s(literal 1/3 binary64) x) |
| 100.0ms | 227× | 0 | valid |
| 9.0ms | 15× | 2 | valid |
| 7.0ms | 14× | 1 | valid |
Compiled 410 to 82 computations (80% saved)
ival-mult: 56.0ms (62.4% of total)const: 7.0ms (7.8% of total)ival-div: 7.0ms (7.8% of total)ival-add: 6.0ms (6.7% of total)ival-sub: 4.0ms (4.5% of total)ival-pow: 4.0ms (4.5% of total)adjust: 3.0ms (3.3% of total)ival-sqrt: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) y) (* 3 (sqrt x)) (/ (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1)) (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ (/ 1/9 x) y) (sqrt x)) (+ (/ 1/9 x) y) (/ 1/3 x) (* -3 (sqrt x))) |
| 2.0ms | x | @ | 0 | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) y) (* 3 (sqrt x)) (/ (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1)) (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ (/ 1/9 x) y) (sqrt x)) (+ (/ 1/9 x) y) (/ 1/3 x) (* -3 (sqrt x))) |
| 2.0ms | x | @ | inf | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) y) (* 3 (sqrt x)) (/ (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1)) (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ (/ 1/9 x) y) (sqrt x)) (+ (/ 1/9 x) y) (/ 1/3 x) (* -3 (sqrt x))) |
| 2.0ms | y | @ | inf | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) y) (* 3 (sqrt x)) (/ (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1)) (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ (/ 1/9 x) y) (sqrt x)) (+ (/ 1/9 x) y) (/ 1/3 x) (* -3 (sqrt x))) |
| 2.0ms | y | @ | 0 | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* 3 (sqrt x)) y) (* 3 (sqrt x)) (/ (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1)) (* (sqrt x) 3) (pow (- (+ y (/ 1/9 x)) 1) -1) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (* (+ (/ 1/9 x) y) (sqrt x)) (+ (/ 1/9 x) y) (/ 1/3 x) (* -3 (sqrt x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 337 | 4229 |
| 1 | 1019 | 3835 |
| 2 | 3210 | 3746 |
| 0 | 8478 | 3571 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(/ 1 (- (* 1/9 (/ 1 x)) 1)) |
(+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 2))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* y (- (/ y (pow (- (* 1/9 (/ 1 x)) 1) 3)) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(+ (* y (- (* y (+ (* -1 (/ y (pow (- (* 1/9 (/ 1 x)) 1) 4))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 3)))) (/ 1 (pow (- (* 1/9 (/ 1 x)) 1) 2)))) (/ 1 (- (* 1/9 (/ 1 x)) 1))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(- (* 1/9 (/ 1 x)) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(/ 1/9 x) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(* 1/9 (sqrt (/ 1 x))) |
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y)) |
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y)) |
(+ (* 1/9 (sqrt (/ 1 x))) (* (sqrt x) y)) |
(/ 1/9 x) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(/ 1 y) |
(/ (- (+ 1 (/ 1 y)) (/ 1/9 (* x y))) y) |
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2))) (/ 1 y))) (/ 1/9 (* x y))) y) |
(/ (- (+ 1 (+ (/ 1 y) (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) (pow y 3)))) (+ (/ 1/9 (* x y)) (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) (pow y 2)))) y) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y))))) |
(* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y))))) |
(* y (+ (sqrt x) (* 1/9 (* (sqrt (/ 1 x)) (/ 1 y))))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* 3 y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(/ 1 y) |
(* -1 (/ (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)) y))) (* 1/9 (/ 1 x))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (- 1 (* 1/9 (/ 1 x))) (pow (- (* 1/9 (/ 1 x)) 1) 2)) y)) (* -1 (* (- 1 (* 1/9 (/ 1 x))) (- (* 1/9 (/ 1 x)) 1)))) y))) (* 1/9 (/ 1 x))) y)) 1) y)) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1/9 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 9 x) |
(* x (+ 9 (* -81 (* x (- y 1))))) |
(* x (+ 9 (* x (- (* 729 (* x (pow (- y 1) 2))) (* 81 (- y 1)))))) |
(* x (+ 9 (* x (- (* x (- (* -6561 (* x (pow (- y 1) 3))) (* -729 (pow (- y 1) 2)))) (* 81 (- y 1)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) y)) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (- 1 y))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -3 (- 1 y)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(/ 1 (- y 1)) |
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2))))) |
(- (+ (/ 1/81 (* (pow x 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1/9 (* x (pow (- y 1) 2)))) |
(- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (- y 1) 3)))) (/ 1 (- y 1))) (+ (/ 1/9 (* x (pow (- y 1) 2))) (* 1/729 (/ 1 (* (pow x 3) (pow (- y 1) 4)))))) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* (sqrt x) y) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) y))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (- 1 y)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ 1 (- y 1)) |
(- (/ 1 (- y 1)) (* 1/9 (/ 1 (* x (pow (- y 1) 2))))) |
(+ (* -1 (/ (- (* 1/9 (/ 1 (pow (- y 1) 2))) (* 1/81 (/ 1 (* x (pow (- y 1) 3))))) x)) (/ 1 (- y 1))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/81 (/ 1 (pow (- y 1) 3))) (* 1/729 (/ 1 (* x (pow (- y 1) 4))))) x)) (* 1/9 (/ 1 (pow (- y 1) 2)))) x)) (/ 1 (- y 1))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) |
(fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) |
(fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
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(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(-.f64 y #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
y |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/9 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/9 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/9 binary64)))) |
y |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 174 |
| 0 | 61 | 172 |
| 1 | 228 | 168 |
| 2 | 1896 | 168 |
| 0 | 8145 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(sqrt.f64 x) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
| Outputs |
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Compiled 24 518 to 1 738 computations (92.9% saved)
26 alts after pruning (20 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 959 | 8 | 967 |
| Fresh | 8 | 12 | 20 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 968 | 26 | 994 |
| Status | Accuracy | Program |
|---|---|---|
| 64.0% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) | |
| 64.0% | (fma.f64 #s(approx (* (+ (/ 1/9 x) y) (sqrt x)) (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| ✓ | 34.3% | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x))) |
| ✓ | 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
| 62.8% | (*.f64 (fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| ✓ | 99.4% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| ▶ | 62.8% | (*.f64 (-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) | |
| 34.3% | (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 64.0% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) | |
| 34.4% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) | |
| ▶ | 62.9% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) |
| ▶ | 37.4% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
| 34.4% | (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x)))) | |
| 50.6% | #s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) | |
| 62.4% | #s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -9 binary64) x (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) | |
| 34.4% | #s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 87.9% | #s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) y)))) | |
| 81.1% | #s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| ▶ | 61.6% | #s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
| 57.5% | #s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 37.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| ✓ | 37.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
| ▶ | 99.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
| ✓ | 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
| 87.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (*.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))))) |
Compiled 1 289 to 856 computations (33.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) | |
| cost-diff | 0 | #s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 0 | #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) | |
| cost-diff | 128 | (*.f64 (-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) x) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 264 |
| 0 | 73 | 266 |
| 1 | 124 | 254 |
| 2 | 246 | 245 |
| 3 | 551 | 245 |
| 4 | 1083 | 245 |
| 5 | 1894 | 245 |
| 6 | 3170 | 245 |
| 7 | 5326 | 245 |
| 8 | 6069 | 245 |
| 9 | 6524 | 245 |
| 10 | 6860 | 245 |
| 11 | 7466 | 245 |
| 0 | 8181 | 244 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(sqrt.f64 x) |
x |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(sqrt.f64 x) |
x |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(*.f64 (-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
#s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
(*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
y |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 y #s(literal 3 binary64))) |
(*.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
y |
(sqrt.f64 x) |
x |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(*.f64 (fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
#s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
y |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.109375 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.26791000976844204 | (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 3.812037036228001 | (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) | |
| accuracy | 22.854296025724686 | #s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) | |
| accuracy | 0.18978500976844204 | (*.f64 (-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| accuracy | 0.3203125 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.33984375 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 31.535895184876534 | #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.34212875976844204 | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.3828125 | (/.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 23.529009881762015 | #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.34212875976844204 | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) | |
| accuracy | 40.00685633936767 | #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) | |
| accuracy | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) | |
| accuracy | 0.0703125 | (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.34212875976844204 | (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) | |
| accuracy | 0.46686818141020137 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
| 132.0ms | 231× | 0 | valid |
| 10.0ms | 13× | 2 | valid |
| 6.0ms | 12× | 1 | valid |
Compiled 477 to 98 computations (79.5% saved)
ival-mult: 25.0ms (26.8% of total)ival-add: 25.0ms (26.8% of total)const: 22.0ms (23.6% of total)ival-div: 8.0ms (8.6% of total)ival-sub: 5.0ms (5.4% of total)ival-sqrt: 4.0ms (4.3% of total)adjust: 3.0ms (3.2% 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 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (* 3 y) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (- (/ 1/3 x) 3) (/ 1/3 x) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (* (* (+ (* y 3) -3) (sqrt (/ 1 x))) x) (* (+ (* y 3) -3) (sqrt (/ 1 x))) (+ (* y 3) -3) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (* (sqrt x) 3) (sqrt (/ 1 x))) |
| 4.0ms | y | @ | 0 | ((/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (* 3 y) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (- (/ 1/3 x) 3) (/ 1/3 x) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (* (* (+ (* y 3) -3) (sqrt (/ 1 x))) x) (* (+ (* y 3) -3) (sqrt (/ 1 x))) (+ (* y 3) -3) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (* (sqrt x) 3) (sqrt (/ 1 x))) |
| 2.0ms | y | @ | -inf | ((/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (* 3 y) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (- (/ 1/3 x) 3) (/ 1/3 x) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (* (* (+ (* y 3) -3) (sqrt (/ 1 x))) x) (* (+ (* y 3) -3) (sqrt (/ 1 x))) (+ (* y 3) -3) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (* (sqrt x) 3) (sqrt (/ 1 x))) |
| 2.0ms | x | @ | 0 | ((/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (* 3 y) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (- (/ 1/3 x) 3) (/ 1/3 x) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (* (* (+ (* y 3) -3) (sqrt (/ 1 x))) x) (* (+ (* y 3) -3) (sqrt (/ 1 x))) (+ (* y 3) -3) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (* (sqrt x) 3) (sqrt (/ 1 x))) |
| 2.0ms | y | @ | inf | ((/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (sqrt x) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (* 3 y) (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (+ (* (+ y (/ 1/9 x)) 3) -3) (- (/ 1/3 x) 3) (/ 1/3 x) (* (- (+ y (/ 1/9 x)) 1) (* (sqrt x) 3)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (/ 1/9 x) (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (* (* (+ (* y 3) -3) (sqrt (/ 1 x))) x) (* (+ (* y 3) -3) (sqrt (/ 1 x))) (+ (* y 3) -3) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (* (sqrt x) 3) (sqrt (/ 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 216 | 4125 |
| 1 | 634 | 3813 |
| 2 | 2108 | 3698 |
| 3 | 4428 | 3692 |
| 0 | 8315 | 3425 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(- (* 1/9 (/ 1 x)) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(/ 1/9 x) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(* -3 (sqrt x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(* -3 (sqrt (/ 1 x))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
-3 |
(- (* 3 y) 3) |
(- (* 3 y) 3) |
(- (* 3 y) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (* 3 (sqrt x)))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(* 3 y) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* y (- 3 (* 3 (/ 1 y)))) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* 3 y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* 3 y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) (/ 1 y)))))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* 3 y) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(* -1 (* y (- (* 3 (/ 1 y)) 3))) |
(* 3 y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (- 1 y))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* (sqrt x) (- (* 3 y) 3)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* (sqrt x) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* -3 (- 1 y)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* -3 (- 1 y)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(literal -3 binary64) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
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(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(literal -3 binary64) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(-.f64 y #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
y |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(sqrt.f64 x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
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(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(literal -3 binary64) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
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(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(-.f64 y #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
y |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 229 |
| 0 | 73 | 231 |
| 1 | 278 | 212 |
| 2 | 2258 | 208 |
| 0 | 8102 | 203 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))) |
(sqrt.f64 x) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) |
#s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 (-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
#s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
(*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
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Compiled 24 669 to 1 788 computations (92.8% saved)
29 alts after pruning (20 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 837 | 12 | 849 |
| Fresh | 7 | 8 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 846 | 29 | 875 |
| Status | Accuracy | Program |
|---|---|---|
| 64.0% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) | |
| ✓ | 34.3% | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x))) |
| ✓ | 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
| 62.8% | (*.f64 (fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| ✓ | 99.4% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| 62.8% | (*.f64 (-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| ✓ | 62.8% | (*.f64 (-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| 34.3% | (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 64.0% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x)) | |
| 34.4% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) | |
| 62.8% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 x)) | |
| 62.7% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) | |
| ✓ | 62.9% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) |
| 37.4% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (/.f64 (*.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) | |
| ✓ | 37.4% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
| 28.6% | (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) | |
| 34.4% | (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x)))) | |
| 34.4% | #s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 81.1% | #s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 47.5% | #s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)))) | |
| 61.6% | #s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) x)) | |
| 42.5% | #s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))) x)) | |
| 35.0% | #s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 #s(approx (+ (* y 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) | |
| 28.6% | #s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) | |
| 2.1% | #s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* (+ (* y 3) -3) (sqrt (/ 1 x))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) | |
| ✓ | 37.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| ✓ | 37.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
| ✓ | 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
| 87.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (*.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))))) |
Compiled 2 324 to 818 computations (64.8% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* (+ (* y 3) -3) (sqrt (/ 1 x))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x)))) |
(*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x))) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) x)) |
(*.f64 (fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 #s(approx (+ (* y 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (/.f64 (*.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) |
(fma.f64 #s(approx (* (+ (/ 1/9 x) y) (sqrt x)) (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 (-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (*.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))))) |
#s(approx (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) y)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)) (sqrt.f64 x))) x)) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (/.f64 (fma.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (fma.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))) |
#s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -9 binary64) x (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
#s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (*.f64 #s(literal 3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) y)))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64))) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
3 calls:
| 20.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 19.0ms | x |
| 19.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* (+ (* y 3) -3) (sqrt (/ 1 x))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x)))) |
(*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x))) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) x)) |
(*.f64 (fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 #s(approx (+ (* y 3) -3) (*.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (/.f64 (*.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) |
(fma.f64 #s(approx (* (+ (/ 1/9 x) y) (sqrt x)) (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 (-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ y (/ 1/9 x)) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 9 binary64) #s(literal -9 binary64)) (sqrt.f64 x)) (fma.f64 y #s(literal 3 binary64) #s(literal 3 binary64)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (*.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))))) |
#s(approx (* (+ (* (+ y (/ 1/9 x)) 3) -3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) y)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
3 calls:
| 13.0ms | y |
| 13.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* (+ (* y 3) -3) (sqrt (/ 1 x))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (*.f64 #s(approx (+ (* y 3) -3) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x)))) |
(*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (pow (- (+ y (/ 1/9 x)) 1) -1) (*.f64 #s(literal 9 binary64) x))) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (/.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) x)) |
(*.f64 (fma.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
3 calls:
| 8.0ms | y |
| 7.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 2 | x |
| 88.7% | 3 | y |
| 93.1% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* (+ (* y 3) -3) (sqrt (/ 1 x))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (/ (- (* (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* (* (+ y (/ 1/9 x)) 3) (sqrt x))) (* (* -3 (sqrt x)) (* -3 (sqrt x)))) (- (* (* (+ y (/ 1/9 x)) 3) (sqrt x)) (* -3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 14 to 12 computations (14.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (+ (* (* (+ (/ 1/9 x) y) (sqrt x)) 3) (* -3 (sqrt x))) #s(approx (* (* (+ (* y 3) -3) (sqrt (/ 1 x))) x) (*.f64 (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
3 calls:
| 4.0ms | y |
| 3.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.0% | 1 | y |
| 64.0% | 1 | x |
| 64.0% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
3 calls:
| 2.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.4% | 5 | x |
| 63.3% | 3 | y |
| 58.8% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.3% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.3% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) |
3 calls:
| 2.0ms | y |
| 1.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.6% | 1 | x |
| 28.6% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 28.6% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.294581914330977e+152 | 9.994319392899766e+152 |
| 0.0ms | -4.22250660643667e+47 | -8.199418478967547e+44 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.294581914330977e+152 | 9.994319392899766e+152 |
| 0.0ms | -1.364951985535413 | 4567.462712980465 |
Compiled 17 to 17 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.0576546328585783e-23 | 2.418129536134431e-13 |
| 15.0ms | -4.420638114520459e+24 | -4.3656549032925895e+20 |
| 21.0ms | 288× | 0 | valid |
Compiled 665 to 611 computations (8.1% saved)
ival-mult: 5.0ms (36.2% of total)ival-add: 3.0ms (21.7% of total)ival-div: 2.0ms (14.5% of total)ival-sqrt: 2.0ms (14.5% of total)ival-sub: 1.0ms (7.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0576546328585783e-23 | 2.418129536134431e-13 |
| 1.0ms | -4.420638114520459e+24 | -4.3656549032925895e+20 |
Compiled 755 to 665 computations (11.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.0576546328585783e-23 | 2.418129536134431e-13 |
| 1.0ms | -4.420638114520459e+24 | -4.3656549032925895e+20 |
Compiled 755 to 665 computations (11.9% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 482 |
| 1 | 104 | 482 |
| 2 | 110 | 482 |
| 3 | 117 | 482 |
| 4 | 118 | 482 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -400000000000000017538337218030478941853619060736 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 599999999999999981232970460506355848850633929538145932318285279219279464507305157979386080035753457915710729022069947656715003336063263033594007823319040 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 599999999999999981232970460506355848850633929538145932318285279219279464507305157979386080035753457915710729022069947656715003336063263033594007823319040 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(if (<=.f64 y #s(literal -450000000000000000000 binary64)) (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) (if (<=.f64 y #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)))) |
(if (<=.f64 y #s(literal -450000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))))) |
(if (<=.f64 y #s(literal -450000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal -400000000000000017538337218030478941853619060736 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 599999999999999981232970460506355848850633929538145932318285279219279464507305157979386080035753457915710729022069947656715003336063263033594007823319040 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 599999999999999981232970460506355848850633929538145932318285279219279464507305157979386080035753457915710729022069947656715003336063263033594007823319040 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) |
(if (<=.f64 y #s(literal -450000000000000000000 binary64)) (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) (if (<=.f64 y #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)))) |
(if (<=.f64 y #s(literal -450000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))) |
(if (<=.f64 y #s(literal -450000000000000000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 1188422437713965/4951760157141521099596496896 binary64)) (*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
(*.f64 #s(approx (+ (* (+ y (/ 1/9 x)) 3) -3) #s(approx (- (/ 1/3 x) 3) #s(literal -3 binary64))) (sqrt.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 624 | 7367 |
| 1 | 1954 | 6190 |
| 2 | 6747 | 6099 |
| 0 | 8546 | 5691 |
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 66 | 26 |
| 2 | 521 | 26 |
| 3 | 6476 | 26 |
| 0 | 8295 | 25 |
| 0 | 36 | 210 |
| 0 | 57 | 165 |
| 1 | 247 | 146 |
| 2 | 2157 | 146 |
| 0 | 8441 | 145 |
| 0 | 72 | 570 |
| 1 | 195 | 543 |
| 2 | 610 | 543 |
| 3 | 2212 | 541 |
| 4 | 6059 | 541 |
| 0 | 8416 | 509 |
| 0 | 216 | 4125 |
| 1 | 634 | 3813 |
| 2 | 2108 | 3698 |
| 3 | 4428 | 3692 |
| 0 | 8315 | 3425 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 810 to 367 computations (54.7% saved)
Compiled 1 026 to 220 computations (78.6% saved)
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