
Time bar (total: 5.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 100% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
Compiled 9 to 9 computations (0% saved)
| 586.0ms | 8 256× | 0 | valid |
const: 180.0ms (67.6% of total)ival-==: 61.0ms (22.9% of total)ival-and: 11.0ms (4.1% of total)exact: 11.0ms (4.1% of total)ival-assert: 3.0ms (1.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 0 | - | 0 | - | (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) y) |
| 0 | 0 | - | 0 | - | #s(literal 8 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 11/2 binary64) |
| 0 | 0 | - | 0 | - | (pow.f64 y #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (pow.f64 y #s(literal 8 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 121 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 11 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1335/4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 11 binary64) x) x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 x (*.f64 #s(literal 2 binary64) y)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
| 0 | 0 | - | 0 | - | (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (pow.f64 y #s(literal 6 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 11 binary64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 256 | 0 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 256 | 0 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 1 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 257.0ms | 512× | 1 | valid |
Compiled 821 to 124 computations (84.9% saved)
adjust: 79.0ms (49.6% of total)ival-mult: 36.0ms (22.6% of total)ival-add: 14.0ms (8.8% of total)ival-pow: 13.0ms (8.2% of total)ival-div: 8.0ms (5% of total)ival-sub: 6.0ms (3.8% of total)exact: 2.0ms (1.3% of total)ival-true: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 5 |
| 0 | 30 | 43 |
| 0 | 50 | 43 |
| 1 | 90 | 43 |
| 2 | 195 | 43 |
| 3 | 492 | 43 |
| 4 | 1487 | 43 |
| 5 | 3090 | 43 |
| 6 | 5094 | 43 |
| 7 | 7077 | 43 |
| 0 | 8159 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 11 binary64)) y) y (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64)))) x) x (fma.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(abs y)
(abs x)
(sort x y)
Compiled 43 to 30 computations (30.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 1.4% | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Compiled 43 to 30 computations (30.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) | |
| cost-diff | 128 | (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) | |
| cost-diff | 128 | (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) | |
| cost-diff | 128 | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 258 |
| 0 | 50 | 258 |
| 1 | 90 | 258 |
| 2 | 195 | 258 |
| 3 | 492 | 258 |
| 4 | 1487 | 258 |
| 5 | 3090 | 258 |
| 6 | 5094 | 258 |
| 7 | 7077 | 258 |
| 0 | 8159 | 241 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) |
(+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
#s(literal 1335/4 binary64) |
(pow.f64 y #s(literal 6 binary64)) |
y |
#s(literal 6 binary64) |
(*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(*.f64 x x) |
x |
(-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) |
(-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) |
(*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) |
(*.f64 (*.f64 #s(literal 11 binary64) x) x) |
(*.f64 #s(literal 11 binary64) x) |
#s(literal 11 binary64) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
#s(literal 121 binary64) |
(pow.f64 y #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
#s(literal 11/2 binary64) |
(pow.f64 y #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 11 binary64)) y) y (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64)))) x) x (fma.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 #s(literal 11 binary64) y) (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64)))) x) x (fma.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64))))) |
(+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 #s(literal 11 binary64) y) (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64)))) x) x (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64)))) |
(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64)) |
#s(literal 1335/4 binary64) |
(pow.f64 y #s(literal 6 binary64)) |
y |
#s(literal 6 binary64) |
(*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 11 binary64) y) y) (*.f64 x x) (-.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64))))) (*.f64 x x)) |
(*.f64 x x) |
x |
(-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 11 binary64) y) y) (*.f64 x x) (-.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64))))) |
(-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -11 binary64) y) x) y) x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64))))) |
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) |
(neg.f64 (fma.f64 #s(literal -11 binary64) (*.f64 (*.f64 (*.f64 x y) x) y) (pow.f64 y #s(literal 6 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) |
(*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) |
(*.f64 (*.f64 #s(literal 11 binary64) x) x) |
(*.f64 #s(literal 11 binary64) x) |
#s(literal 11 binary64) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64)) |
#s(literal 121 binary64) |
(pow.f64 y #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)) |
#s(literal 11/2 binary64) |
(pow.f64 y #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 11 binary64) x) | |
| accuracy | 0 | (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) y) |
| 49.0ms | 256× | 0 | valid |
Compiled 518 to 62 computations (88% saved)
ival-mult: 14.0ms (40% of total)ival-pow: 12.0ms (34.3% of total)ival-sub: 3.0ms (8.6% of total)ival-add: 3.0ms (8.6% of total)ival-div: 2.0ms (5.7% of total)exact: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (patch (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (patch (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (patch (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) (patch (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (patch (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 11 binary64) x) (patch (*.f64 #s(literal 11 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) (patch (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (patch (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (patch (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (patch (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) (taylor 0 y) (#s(alt (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (patch (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (patch (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (patch (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (patch (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* 11 (pow x 4)) (* (pow y 2) (+ (* -121 (pow x 2)) (* (pow y 2) (+ 1335/4 (* -1 (pow x 2))))))))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (patch (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 y) (#s(alt (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (patch (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 11 (* (pow x 2) (pow y 2))) 2) (taylor 0 y) (#s(alt (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (patch (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow y 2) (+ (* -121 (pow y 2)) (* 11 (pow x 2)))) 2) (taylor 0 y) (#s(alt (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (patch (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow y 2) (+ (* 11 (pow x 2)) (* (pow y 2) (- (* -1 (pow y 2)) 121)))) 2) (taylor 0 y) (#s(alt (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (patch (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 11 (* (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) (patch (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -121 (pow y 2)) (* 11 (pow x 2)))) (taylor 0 y) (#s(alt (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) (patch (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* 11 (pow x 2)) (* (pow y 2) (- (* -1 (pow y 2)) 121)))) (taylor 0 y) (#s(alt (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) (patch (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* 11 (pow x 2)) (* (pow y 2) (- (* -1 (pow y 2)) 121)))) (taylor 0 y) (#s(alt (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) (patch (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 11/2 (pow y 8)) (taylor 0 y) (#s(alt (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (patch (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 11/2 (pow y 8)) (taylor 0 y) (#s(alt (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (patch (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 11/2 (pow y 8)) (taylor 0 y) (#s(alt (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (patch (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 11/2 (pow y 8)) (taylor 0 y) (#s(alt (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) (patch (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 121 (pow y 4)) (taylor 0 y) (#s(alt (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) (patch (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 121 (pow y 4)) (taylor 0 y) (#s(alt (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) (patch (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 121 (pow y 4)) (taylor 0 y) (#s(alt (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) (patch (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2) (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) (* 2 y) (* 11/2 (pow y 8)) (* 11 x) (* 121 (pow y 4))) |
| 3.0ms | y | @ | inf | ((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2) (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) (* 2 y) (* 11/2 (pow y 8)) (* 11 x) (* 121 (pow y 4))) |
| 3.0ms | y | @ | 0 | ((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2) (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) (* 2 y) (* 11/2 (pow y 8)) (* 11 x) (* 121 (pow y 4))) |
| 2.0ms | x | @ | 0 | ((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2) (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) (* 2 y) (* 11/2 (pow y 8)) (* 11 x) (* 121 (pow y 4))) |
| 2.0ms | y | @ | -inf | ((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2) (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) (* 2 y) (* 11/2 (pow y 8)) (* 11 x) (* 121 (pow y 4))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 2300 |
| 1 | 555 | 2272 |
| 2 | 1842 | 2216 |
| 3 | 6386 | 2190 |
| 0 | 8352 | 2063 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ x y)) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) |
(* -2 (pow x 2)) |
(+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))) |
(+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))) |
(+ (* -2 (pow x 2)) (* (pow y 2) (+ (* 11 (pow x 4)) (* (pow y 2) (+ (* -121 (pow x 2)) (* (pow y 2) (+ 1335/4 (* -1 (pow x 2))))))))) |
-2 |
(- (* 11 (* (pow x 2) (pow y 2))) 2) |
(- (* (pow y 2) (+ (* -121 (pow y 2)) (* 11 (pow x 2)))) 2) |
(- (* (pow y 2) (+ (* 11 (pow x 2)) (* (pow y 2) (- (* -1 (pow y 2)) 121)))) 2) |
(* 11 (* (pow x 2) (pow y 2))) |
(* (pow y 2) (+ (* -121 (pow y 2)) (* 11 (pow x 2)))) |
(* (pow y 2) (+ (* 11 (pow x 2)) (* (pow y 2) (- (* -1 (pow y 2)) 121)))) |
(* (pow y 2) (+ (* 11 (pow x 2)) (* (pow y 2) (- (* -1 (pow y 2)) 121)))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 11/2 (pow y 8)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(* 11/2 (pow y 8)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(* -1 (pow y 6)) |
(* -1 (* (pow y 6) (+ 1 (* 121 (/ 1 (pow y 2)))))) |
(* (pow y 6) (- (* 11 (/ (pow x 2) (pow y 4))) (+ 1 (* 121 (/ 1 (pow y 2)))))) |
(* (pow y 6) (- (* 11 (/ (pow x 2) (pow y 4))) (+ 1 (+ (* 121 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 6))))))) |
(* -1 (pow y 6)) |
(* -1 (* (pow y 6) (+ 1 (* 121 (/ 1 (pow y 2)))))) |
(* (pow y 6) (- (* 11 (/ (pow x 2) (pow y 4))) (+ 1 (* 121 (/ 1 (pow y 2)))))) |
(* (pow y 6) (- (* 11 (/ (pow x 2) (pow y 4))) (+ 1 (* 121 (/ 1 (pow y 2)))))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 11/2 (pow y 8)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(* 11/2 (pow y 8)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(* -1 (pow y 6)) |
(* -1 (* (pow y 6) (+ 1 (* 121 (/ 1 (pow y 2)))))) |
(* (pow y 6) (- (* 11 (/ (pow x 2) (pow y 4))) (+ 1 (* 121 (/ 1 (pow y 2)))))) |
(* (pow y 6) (- (* 11 (/ (pow x 2) (pow y 4))) (+ 1 (+ (* 121 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 6))))))) |
(* -1 (pow y 6)) |
(* -1 (* (pow y 6) (+ 1 (* 121 (/ 1 (pow y 2)))))) |
(* (pow y 6) (- (* 11 (/ (pow x 2) (pow y 4))) (+ 1 (* 121 (/ 1 (pow y 2)))))) |
(* (pow y 6) (- (* 11 (/ (pow x 2) (pow y 4))) (+ 1 (* 121 (/ 1 (pow y 2)))))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 11/2 (pow y 8)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(* 121 (pow y 4)) |
(+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) |
(+ (* 1/2 (/ x y)) (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6)))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* -1 (* x (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (* 1/2 (/ 1 y)))))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* x (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))) (* 1/2 (/ 1 y)))))) |
(+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) |
(+ (* -1 (* (pow x 2) (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6)))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* (pow x 2) (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* (pow x 2) (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))))) |
(* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) |
(- (* 11 (* (pow x 2) (pow y 2))) (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) |
(- (* 11 (* (pow x 2) (pow y 2))) (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) |
(- (* 11 (* (pow x 2) (pow y 2))) (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) |
(* -1 (+ (* 121 (pow y 4)) (pow y 6))) |
(- (* 11 (* (pow x 2) (pow y 2))) (+ (* 121 (pow y 4)) (pow y 6))) |
(- (* 11 (* (pow x 2) (pow y 2))) (+ (* 121 (pow y 4)) (pow y 6))) |
(- (* 11 (* (pow x 2) (pow y 2))) (+ (* 121 (pow y 4)) (pow y 6))) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 (* (pow x 4) (pow y 2))) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (+ (* 1335/4 (/ (pow y 6) (pow x 4))) (* 1/2 (/ 1 (* (pow x 3) y)))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* 11 (* (pow x 4) (pow y 2))) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* 11 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* 11 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 121 (pow y 4)) (pow y 6)) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 121 (pow y 4)) (pow y 6)) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 121 (pow y 4)) (pow y 6)) (pow x 2))) (* 11 (pow y 2)))) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 (* (pow x 4) (pow y 2))) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* 11 (* (pow x 4) (pow y 2))) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* 11 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* 11 (* (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 121 (pow y 4)) (pow y 6)) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 121 (pow y 4)) (pow y 6)) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 121 (pow y 4)) (pow y 6)) (pow x 2))) (* 11 (pow y 2)))) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
(* 11 x) |
| Outputs |
|---|
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 11 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)))) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64) #s(literal -2 binary64)))) y (*.f64 x #s(literal 1/2 binary64))) y) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64) #s(literal -2 binary64))) |
(+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))) |
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64) #s(literal -2 binary64)))) |
(+ (* -2 (pow x 2)) (* (pow y 2) (+ (* 11 (pow x 4)) (* (pow y 2) (+ (* -121 (pow x 2)) (* (pow y 2) (+ 1335/4 (* -1 (pow x 2))))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64) #s(literal -2 binary64))) (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (-.f64 #s(literal 1335/4 binary64) (*.f64 x x)))) |
-2 |
#s(literal -2 binary64) |
(- (* 11 (* (pow x 2) (pow y 2))) 2) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64) #s(literal -2 binary64)) |
(- (* (pow y 2) (+ (* -121 (pow y 2)) (* 11 (pow x 2)))) 2) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64) #s(literal -2 binary64))) |
(- (* (pow y 2) (+ (* 11 (pow x 2)) (* (pow y 2) (- (* -1 (pow y 2)) 121)))) 2) |
(fma.f64 (*.f64 #s(literal 11 binary64) (*.f64 y x)) (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal -121 binary64) (*.f64 y y)) #s(literal -2 binary64))) |
(* 11 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64)) |
(* (pow y 2) (+ (* -121 (pow y 2)) (* 11 (pow x 2)))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64))) |
(* (pow y 2) (+ (* 11 (pow x 2)) (* (pow y 2) (- (* -1 (pow y 2)) 121)))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal -121 binary64) (*.f64 y y)) y) y (*.f64 #s(literal 11 binary64) (*.f64 x x))) (*.f64 y y)) |
(* (pow y 2) (+ (* 11 (pow x 2)) (* (pow y 2) (- (* -1 (pow y 2)) 121)))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal -121 binary64) (*.f64 y y)) y) y (*.f64 #s(literal 11 binary64) (*.f64 x x))) (*.f64 y y)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 11/2 (pow y 8)) |
(*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)) |
(* 11/2 (pow y 8)) |
(*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)) |
(* 11/2 (pow y 8)) |
(*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)) |
(* 11/2 (pow y 8)) |
(*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)) |
(* 121 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64)) |
(* 121 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64)) |
(* 121 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64)) |
(* 121 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64)) |
(* 11/2 (pow y 8)) |
(*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -11/2 binary64))) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) #s(literal 11/2 binary64))) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 11 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) #s(literal 11/2 binary64)))) (pow.f64 y #s(literal 8 binary64))) |
(* 11/2 (pow y 8)) |
(*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -11/2 binary64))) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(*.f64 (fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -121 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) #s(literal 11/2 binary64))) (pow.f64 y #s(literal 8 binary64))) |
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(* (pow x 2) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64) (-.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64))))) |
(* (pow x 2) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64) (-.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64))))) |
(* 11 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64)) |
(* (pow x 2) (+ (* -1 (/ (+ (* 121 (pow y 4)) (pow y 6)) (pow x 2))) (* 11 (pow y 2)))) |
(fma.f64 (*.f64 #s(literal 11 binary64) (*.f64 y x)) (*.f64 y x) (*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 121 (pow y 4)) (pow y 6)) (pow x 2))) (* 11 (pow y 2)))) |
(fma.f64 (*.f64 #s(literal 11 binary64) (*.f64 y x)) (*.f64 y x) (*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 121 (pow y 4)) (pow y 6)) (pow x 2))) (* 11 (pow y 2)))) |
(fma.f64 (*.f64 #s(literal 11 binary64) (*.f64 y x)) (*.f64 y x) (*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1 binary64))) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 (* (pow x 4) (pow y 2))) |
(*.f64 (*.f64 #s(literal 11 binary64) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64)))) x) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64))) x) x)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64))) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64))) x) x)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 11 (* (pow x 4) (pow y 2))) |
(*.f64 (*.f64 #s(literal 11 binary64) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64)))) x) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 11/2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)) (fma.f64 (/.f64 #s(literal 1335/4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64)) (*.f64 (*.f64 y y) #s(literal 11 binary64)))) (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64))) x) x)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (* 1335/4 (/ (pow y 6) (pow x 4))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(*.f64 (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 11/2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)) (fma.f64 (/.f64 #s(literal 1335/4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64)) (*.f64 (*.f64 y y) #s(literal 11 binary64)))) (/.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64))) x) x)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 11 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64)) |
(* (pow x 2) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64) (-.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64))))) |
(* (pow x 2) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64) (-.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64))))) |
(* (pow x 2) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64) (-.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64))))) |
(* 11 (* (pow x 2) (pow y 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64)) |
(* (pow x 2) (+ (* -1 (/ (+ (* 121 (pow y 4)) (pow y 6)) (pow x 2))) (* 11 (pow y 2)))) |
(fma.f64 (*.f64 #s(literal 11 binary64) (*.f64 y x)) (*.f64 y x) (*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 121 (pow y 4)) (pow y 6)) (pow x 2))) (* 11 (pow y 2)))) |
(fma.f64 (*.f64 #s(literal 11 binary64) (*.f64 y x)) (*.f64 y x) (*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 121 (pow y 4)) (pow y 6)) (pow x 2))) (* 11 (pow y 2)))) |
(fma.f64 (*.f64 #s(literal 11 binary64) (*.f64 y x)) (*.f64 y x) (*.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1 binary64))) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
(* 11 x) |
(*.f64 #s(literal 11 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 136 |
| 0 | 50 | 136 |
| 1 | 187 | 136 |
| 2 | 1669 | 128 |
| 0 | 8155 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) |
(-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) |
(-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))) |
(*.f64 #s(literal 11 binary64) x) |
(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))) |
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Compiled 41 738 to 2 378 computations (94.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 583 | 2 | 585 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 584 | 2 | 586 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 11.0% | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) |
| ▶ | 1.6% | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
Compiled 17 to 15 computations (11.8% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) | |
| cost-diff | 320 | (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 145 |
| 0 | 47 | 145 |
| 1 | 101 | 145 |
| 2 | 225 | 145 |
| 3 | 526 | 145 |
| 4 | 1535 | 145 |
| 5 | 3229 | 145 |
| 6 | 5250 | 143 |
| 7 | 7234 | 143 |
| 0 | 8001 | 131 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) |
(*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) |
x |
(fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
y |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 x (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 x (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) |
(*.f64 x (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) x) |
x |
(fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
y |
#s(literal 1/2 binary64) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) | |
| accuracy | 0 | (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal -2 binary64) x) | |
| accuracy | 63.109378036786325 | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| accuracy | 59.07233135192652 | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
| 90.0ms | 256× | 0 | valid |
Compiled 192 to 53 computations (72.4% saved)
ival-mult: 29.0ms (56.6% of total)ival-pow: 7.0ms (13.7% of total)ival-div: 6.0ms (11.7% of total)ival-add: 4.0ms (7.8% of total)ival-sub: 3.0ms (5.9% of total)exact: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) (patch (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) (patch (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) (patch (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) (patch (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) (patch (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) (taylor 0 y) (#s(alt (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1/2 (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/2 (* -2 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 11/2 (pow y 8)) (taylor inf y) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 (* x y)) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -2 y) (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -2 y) (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -2 y) (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 11 (* (pow x 4) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) (patch (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) (patch (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) (patch (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) (patch (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 11 (* (pow x 4) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -2 y) (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -2 y) (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -2 y) (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (* (/ 1/2 y) x) (/ 1/2 y) (/ (* x (+ (* (* -2 x) y) 1/2)) y) (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (* x (+ (* (* -2 x) y) 1/2)) (+ (* (* -2 x) y) 1/2) (* -2 x)) |
| 4.0ms | x | @ | inf | ((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (* (/ 1/2 y) x) (/ 1/2 y) (/ (* x (+ (* (* -2 x) y) 1/2)) y) (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (* x (+ (* (* -2 x) y) 1/2)) (+ (* (* -2 x) y) 1/2) (* -2 x)) |
| 2.0ms | x | @ | -inf | ((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (* (/ 1/2 y) x) (/ 1/2 y) (/ (* x (+ (* (* -2 x) y) 1/2)) y) (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (* x (+ (* (* -2 x) y) 1/2)) (+ (* (* -2 x) y) 1/2) (* -2 x)) |
| 2.0ms | y | @ | -inf | ((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (* (/ 1/2 y) x) (/ 1/2 y) (/ (* x (+ (* (* -2 x) y) 1/2)) y) (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (* x (+ (* (* -2 x) y) 1/2)) (+ (* (* -2 x) y) 1/2) (* -2 x)) |
| 2.0ms | y | @ | 0 | ((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (* (/ 1/2 y) x) (/ 1/2 y) (/ (* x (+ (* (* -2 x) y) 1/2)) y) (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (* x (+ (* (* -2 x) y) 1/2)) (+ (* (* -2 x) y) 1/2) (* -2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 2078 |
| 1 | 477 | 1980 |
| 2 | 1478 | 1970 |
| 3 | 4761 | 1950 |
| 0 | 8106 | 1814 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ x y)) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(* 1/2 (/ x y)) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(* 1/2 (/ x y)) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) |
(* 1/2 x) |
(+ (* -2 (* (pow x 2) y)) (* 1/2 x)) |
(+ (* -2 (* (pow x 2) y)) (* 1/2 x)) |
(+ (* -2 (* (pow x 2) y)) (* 1/2 x)) |
1/2 |
(+ 1/2 (* -2 (* x y))) |
(+ 1/2 (* -2 (* x y))) |
(+ 1/2 (* -2 (* x y))) |
(* 11/2 (pow y 8)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(* -2 (pow x 2)) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(* 11/2 (pow y 8)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(* -2 (* (pow x 2) y)) |
(* y (+ (* -2 (pow x 2)) (* 1/2 (/ x y)))) |
(* y (+ (* -2 (pow x 2)) (* 1/2 (/ x y)))) |
(* y (+ (* -2 (pow x 2)) (* 1/2 (/ x y)))) |
(* -2 (* x y)) |
(* y (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* y (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* y (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* 11/2 (pow y 8)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(* -2 (pow x 2)) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(* 11/2 (pow y 8)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(* -2 (* (pow x 2) y)) |
(* -1 (* y (+ (* -1/2 (/ x y)) (* 2 (pow x 2))))) |
(* -1 (* y (+ (* -1/2 (/ x y)) (* 2 (pow x 2))))) |
(* -1 (* y (+ (* -1/2 (/ x y)) (* 2 (pow x 2))))) |
(* -2 (* x y)) |
(* -1 (* y (- (* 2 x) (* 1/2 (/ 1 y))))) |
(* -1 (* y (- (* 2 x) (* 1/2 (/ 1 y))))) |
(* -1 (* y (- (* 2 x) (* 1/2 (/ 1 y))))) |
(+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) |
(+ (* 1/2 (/ x y)) (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6)))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* -1 (* x (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (* 1/2 (/ 1 y)))))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* x (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))) (* 1/2 (/ 1 y)))))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) |
(+ (* 1/2 (/ x y)) (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6)))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* -1 (* x (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (* 1/2 (/ 1 y)))))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* x (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))) (* 1/2 (/ 1 y)))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -2 (* x y)))) |
(* x (+ 1/2 (* -2 (* x y)))) |
(* x (+ 1/2 (* -2 (* x y)))) |
1/2 |
(+ 1/2 (* -2 (* x y))) |
(+ 1/2 (* -2 (* x y))) |
(+ 1/2 (* -2 (* x y))) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* 11 (* (pow x 4) (pow y 2))) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (+ (* 1335/4 (/ (pow y 6) (pow x 4))) (* 1/2 (/ 1 (* (pow x 3) y)))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* 11 (* (pow x 4) (pow y 2))) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (+ (* 1335/4 (/ (pow y 6) (pow x 4))) (* 1/2 (/ 1 (* (pow x 3) y)))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* -2 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(* -2 (* x y)) |
(* x (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(* x (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(* x (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* 11 (* (pow x 4) (pow y 2))) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* 11 (* (pow x 4) (pow y 2))) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* -2 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(* -2 (* x y)) |
(* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
| Outputs |
|---|
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 11 binary64)) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x)) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64) #s(literal -2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 #s(literal 11 binary64) y))) y (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 11 binary64)) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x)) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64) #s(literal -2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 #s(literal 11 binary64) y))) y (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(+ (* -2 (* (pow x 2) y)) (* 1/2 x)) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(+ (* -2 (* (pow x 2) y)) (* 1/2 x)) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(+ (* -2 (* (pow x 2) y)) (* 1/2 x)) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -2 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -2 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -2 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* 11/2 (pow y 8)) |
(*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -11/2 binary64))) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(*.f64 (fma.f64 x (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -121 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) (+.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) #s(literal 11/2 binary64))) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 11 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -121 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) (+.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) #s(literal 11/2 binary64)))) (pow.f64 y #s(literal 8 binary64))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* 11/2 (pow y 8)) |
(*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -11/2 binary64))) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(*.f64 (fma.f64 x (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -121 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) (+.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) #s(literal 11/2 binary64))) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 11 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -121 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) (+.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) #s(literal 11/2 binary64)))) (pow.f64 y #s(literal 8 binary64))) |
(* -2 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) x) |
(* y (+ (* -2 (pow x 2)) (* 1/2 (/ x y)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(* y (+ (* -2 (pow x 2)) (* 1/2 (/ x y)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(* y (+ (* -2 (pow x 2)) (* 1/2 (/ x y)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(* -2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -2 binary64)) |
(* y (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* y (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* y (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* 11/2 (pow y 8)) |
(*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -11/2 binary64))) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(*.f64 (fma.f64 x (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -121 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) (+.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) #s(literal 11/2 binary64))) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 11 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -121 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) (+.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) #s(literal 11/2 binary64)))) (pow.f64 y #s(literal 8 binary64))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* 11/2 (pow y 8)) |
(*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -11/2 binary64))) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(*.f64 (fma.f64 x (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -121 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) (+.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) #s(literal 11/2 binary64))) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 11 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -121 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) (+.f64 (/.f64 #s(literal 1335/4 binary64) (*.f64 y y)) #s(literal 11/2 binary64)))) (pow.f64 y #s(literal 8 binary64))) |
(* -2 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) x) |
(* -1 (* y (+ (* -1/2 (/ x y)) (* 2 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(* -1 (* y (+ (* -1/2 (/ x y)) (* 2 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(* -1 (* y (+ (* -1/2 (/ x y)) (* 2 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(* -2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -2 binary64)) |
(* -1 (* y (- (* 2 x) (* 1/2 (/ 1 y))))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* 2 x) (* 1/2 (/ 1 y))))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* 2 x) (* 1/2 (/ 1 y))))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64))) |
(+ (* 1/2 (/ x y)) (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* -1 (* x (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (* 1/2 (/ 1 y)))))) |
(fma.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))) x (/.f64 #s(literal 1/2 binary64) y)) x (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* x (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))) (* 1/2 (/ 1 y)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))))) x (/.f64 #s(literal 1/2 binary64) y)) x (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64))) |
(+ (* 1/2 (/ x y)) (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* -1 (* x (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (* 1/2 (/ 1 y)))))) |
(fma.f64 (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))) x (/.f64 #s(literal 1/2 binary64) y)) x (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* x (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))) (* 1/2 (/ 1 y)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 11 binary64) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))))) x (/.f64 #s(literal 1/2 binary64) y)) x (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -2 (* x y)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* -2 (* x y)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* -2 (* x y)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -2 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -2 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -2 (* x y))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* 11 (* (pow x 4) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 #s(literal 11 binary64) y)) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))) x) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (fma.f64 (/.f64 (/.f64 #s(literal 121 binary64) x) x) (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (+ (* 1335/4 (/ (pow y 6) (pow x 4))) (* 1/2 (/ 1 (* (pow x 3) y)))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (fma.f64 (/.f64 #s(literal 11/2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)) (fma.f64 (/.f64 #s(literal 1335/4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (fma.f64 (/.f64 (/.f64 #s(literal 121 binary64) x) x) (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* 11 (* (pow x 4) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 #s(literal 11 binary64) y)) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))) x) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (fma.f64 (/.f64 (/.f64 #s(literal 121 binary64) x) x) (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (+ (* 1335/4 (/ (pow y 6) (pow x 4))) (* 1/2 (/ 1 (* (pow x 3) y)))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (fma.f64 (/.f64 #s(literal 11/2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)) (fma.f64 (/.f64 #s(literal 1335/4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (fma.f64 (/.f64 (/.f64 #s(literal 121 binary64) x) x) (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))))) (pow.f64 x #s(literal 4 binary64))) |
(* -2 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) x) |
(* (pow x 2) (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(* -2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -2 binary64)) |
(* x (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* x (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* x (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* 11 (* (pow x 4) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 #s(literal 11 binary64) y)) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))) x) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (fma.f64 (/.f64 (/.f64 #s(literal 121 binary64) x) x) (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64))) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal 121 binary64) x) x) (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* 11 (* (pow x 4) (pow y 2))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 #s(literal 11 binary64) y)) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))) x) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (fma.f64 (/.f64 (/.f64 #s(literal 121 binary64) x) x) (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64))) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal 121 binary64) x) x) (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 4 binary64))) |
(* -2 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) x) |
(* (pow x 2) (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) x) |
(* -2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -2 binary64)) |
(* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 138 |
| 0 | 47 | 138 |
| 1 | 225 | 138 |
| 2 | 1969 | 134 |
| 0 | 8098 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) |
(*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
| Outputs |
|---|
#<batchref> |
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Compiled 4 695 to 716 computations (84.7% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 319 | 3 | 322 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 321 | 3 | 324 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 11.0% | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) |
| ▶ | 11.0% | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) |
| ▶ | 11.0% | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
Compiled 28 to 25 computations (10.7% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) | |
| cost-diff | 320 | (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 273 |
| 0 | 61 | 267 |
| 1 | 128 | 267 |
| 2 | 262 | 267 |
| 3 | 580 | 267 |
| 4 | 1626 | 257 |
| 5 | 3269 | 257 |
| 6 | 5332 | 257 |
| 0 | 8078 | 242 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
#s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(*.f64 x x) |
x |
#s(literal -2 binary64) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) |
#s(literal -2 binary64) |
x |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) |
#s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
#s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal -2 binary64) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) |
#s(literal -2 binary64) |
x |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 1.0 | (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) | |
| accuracy | 63.109378036786325 | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0 | (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) | |
| accuracy | 0 | #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) | |
| accuracy | 63.109378036786325 | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) | |
| accuracy | 0 | (*.f64 (*.f64 x x) #s(literal -2 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 18.770286421262504 | #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64))) | |
| accuracy | 63.109378036786325 | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
| 72.0ms | 256× | 0 | valid |
Compiled 314 to 66 computations (79% saved)
ival-mult: 25.0ms (44.4% of total)ival-add: 12.0ms (21.3% of total)ival-div: 7.0ms (12.4% of total)ival-pow: 7.0ms (12.4% of total)ival-sub: 3.0ms (5.3% of total)exact: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (patch #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal -2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) (patch #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (patch (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) (taylor 0 y) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (patch #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (patch #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) (patch #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) (patch #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) (patch #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) (patch #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) (patch (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (patch (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 2 (* 1/2 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (patch (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 2 (* 1/2 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (patch (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 2 (* 1/2 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) (patch (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) (patch (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 11 (* (pow x 4) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) (patch #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/ (* x (+ (* (* -2 x) y) 1/2)) y) (* (* x x) -2) (* x x) (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/ (* x (+ (* (* -2 x) y) 1/2)) y) (* (+ (* -2 x) (/ 1/2 y)) x) (+ (* -2 x) (/ 1/2 y)) (* (+ (* (* y x) -2) 1/2) (/ x y)) (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (+ (* (* y x) -2) 1/2) (* y x) (/ 1/2 y) (/ x y)) |
| 2.0ms | x | @ | inf | ((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/ (* x (+ (* (* -2 x) y) 1/2)) y) (* (* x x) -2) (* x x) (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/ (* x (+ (* (* -2 x) y) 1/2)) y) (* (+ (* -2 x) (/ 1/2 y)) x) (+ (* -2 x) (/ 1/2 y)) (* (+ (* (* y x) -2) 1/2) (/ x y)) (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (+ (* (* y x) -2) 1/2) (* y x) (/ 1/2 y) (/ x y)) |
| 2.0ms | y | @ | -inf | ((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/ (* x (+ (* (* -2 x) y) 1/2)) y) (* (* x x) -2) (* x x) (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/ (* x (+ (* (* -2 x) y) 1/2)) y) (* (+ (* -2 x) (/ 1/2 y)) x) (+ (* -2 x) (/ 1/2 y)) (* (+ (* (* y x) -2) 1/2) (/ x y)) (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (+ (* (* y x) -2) 1/2) (* y x) (/ 1/2 y) (/ x y)) |
| 2.0ms | x | @ | 0 | ((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/ (* x (+ (* (* -2 x) y) 1/2)) y) (* (* x x) -2) (* x x) (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/ (* x (+ (* (* -2 x) y) 1/2)) y) (* (+ (* -2 x) (/ 1/2 y)) x) (+ (* -2 x) (/ 1/2 y)) (* (+ (* (* y x) -2) 1/2) (/ x y)) (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (+ (* (* y x) -2) 1/2) (* y x) (/ 1/2 y) (/ x y)) |
| 1.0ms | y | @ | 0 | ((+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/ (* x (+ (* (* -2 x) y) 1/2)) y) (* (* x x) -2) (* x x) (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/ (* x (+ (* (* -2 x) y) 1/2)) y) (* (+ (* -2 x) (/ 1/2 y)) x) (+ (* -2 x) (/ 1/2 y)) (* (+ (* (* y x) -2) 1/2) (/ x y)) (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (+ (* (* y x) -2) 1/2) (* y x) (/ 1/2 y) (/ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 155 | 3418 |
| 1 | 450 | 3265 |
| 2 | 1390 | 3262 |
| 3 | 4623 | 3190 |
| 0 | 8166 | 2959 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ x y)) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) |
(* 1/2 (/ x y)) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(* 1/2 (/ x y)) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) |
(* 1/2 (/ x y)) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(* 1/2 (/ x y)) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ 1/2 y) |
(/ (+ 1/2 (* -2 (* x y))) y) |
(/ (+ 1/2 (* -2 (* x y))) y) |
(/ (+ 1/2 (* -2 (* x y))) y) |
(* 1/2 (/ x y)) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(* 1/2 (/ x y)) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) |
1/2 |
(+ 1/2 (* -2 (* x y))) |
(+ 1/2 (* -2 (* x y))) |
(+ 1/2 (* -2 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 11/2 (pow y 8)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(* -2 (pow x 2)) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(* 11/2 (pow y 8)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(* -2 (pow x 2)) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(* -2 (pow x 2)) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(* -2 x) |
(+ (* -2 x) (* 1/2 (/ 1 y))) |
(+ (* -2 x) (* 1/2 (/ 1 y))) |
(+ (* -2 x) (* 1/2 (/ 1 y))) |
(* -2 (pow x 2)) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(* 11/2 (pow y 8)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(* -2 (* x y)) |
(* y (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* y (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* y (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 11/2 (pow y 8)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(* -2 (pow x 2)) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(* 11/2 (pow y 8)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(* -2 (pow x 2)) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(* -2 (pow x 2)) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(* -2 x) |
(+ (* -2 x) (* 1/2 (/ 1 y))) |
(+ (* -2 x) (* 1/2 (/ 1 y))) |
(+ (* -2 x) (* 1/2 (/ 1 y))) |
(* -2 (pow x 2)) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(+ (* -2 (pow x 2)) (* 1/2 (/ x y))) |
(* 11/2 (pow y 8)) |
(* (pow y 8) (+ 11/2 (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2)))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1335/4 (/ 1 (pow y 2))))))) |
(* (pow y 8) (+ 11/2 (+ (* -121 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 11 (/ (pow x 4) (pow y 6))) (* 1335/4 (/ 1 (pow y 2)))))))) |
(* -2 (* x y)) |
(* -1 (* y (- (* 2 x) (* 1/2 (/ 1 y))))) |
(* -1 (* y (- (* 2 x) (* 1/2 (/ 1 y))))) |
(* -1 (* y (- (* 2 x) (* 1/2 (/ 1 y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) |
(+ (* 1/2 (/ x y)) (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6)))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* -1 (* x (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (* 1/2 (/ 1 y)))))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* x (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))) (* 1/2 (/ 1 y)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) |
(+ (* 1/2 (/ x y)) (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6)))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* -1 (* x (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (* 1/2 (/ 1 y)))))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* x (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))) (* 1/2 (/ 1 y)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ x y)) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(/ 1/2 y) |
(+ (* -2 x) (* 1/2 (/ 1 y))) |
(+ (* -2 x) (* 1/2 (/ 1 y))) |
(+ (* -2 x) (* 1/2 (/ 1 y))) |
(* 1/2 (/ x y)) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(* x (+ (* -2 x) (* 1/2 (/ 1 y)))) |
(+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) |
(+ (* 1/2 (/ x y)) (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6)))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* -1 (* x (+ 2 (+ (* 121 (pow y 4)) (pow y 6))))) (* 1/2 (/ 1 y)))))) |
(+ (* 11/2 (pow y 8)) (+ (* 1335/4 (pow y 6)) (* x (+ (* x (+ (* -1 (+ 2 (+ (* 121 (pow y 4)) (pow y 6)))) (* 11 (* (pow x 2) (pow y 2))))) (* 1/2 (/ 1 y)))))) |
1/2 |
(+ 1/2 (* -2 (* x y))) |
(+ 1/2 (* -2 (* x y))) |
(+ 1/2 (* -2 (* x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 11 (* (pow x 4) (pow y 2))) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (+ (* 1335/4 (/ (pow y 6) (pow x 4))) (* 1/2 (/ 1 (* (pow x 3) y)))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 11 (* (pow x 4) (pow y 2))) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (+ (* 1335/4 (/ (pow y 6) (pow x 4))) (* 1/2 (/ 1 (* (pow x 3) y)))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* -2 x) |
(* x (- (* 1/2 (/ 1 (* x y))) 2)) |
(* x (- (* 1/2 (/ 1 (* x y))) 2)) |
(* x (- (* 1/2 (/ 1 (* x y))) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* 11 (* (pow x 4) (pow y 2))) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* (pow x 4) (- (+ (* 11/2 (/ (pow y 8) (pow x 4))) (+ (* 11 (pow y 2)) (+ (* 1335/4 (/ (pow y 6) (pow x 4))) (* 1/2 (/ 1 (* (pow x 3) y)))))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* -2 (* x y)) |
(* x (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(* x (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(* x (+ (* -2 y) (* 1/2 (/ 1 x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 11 (* (pow x 4) (pow y 2))) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 11 (* (pow x 4) (pow y 2))) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 1/2 (/ 1 (* x y)))))) |
(* -1 (* x (- 2 (* 1/2 (/ 1 (* x y)))))) |
(* -1 (* x (- 2 (* 1/2 (/ 1 (* x y)))))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(* 11 (* (pow x 4) (pow y 2))) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(* -2 (* x y)) |
(* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
| Outputs |
|---|
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64))) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 11 binary64)) (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)))) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 11 binary64) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64))) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64))) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64))) y) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64))) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 11 binary64)) (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)))) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 11 binary64) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y (*.f64 x #s(literal 1/2 binary64))) y) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64))) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64))) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64))) y) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64))) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64))) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64))) y) |
(/ 1/2 y) |
(/.f64 #s(literal 1/2 binary64) y) |
(/ (+ 1/2 (* -2 (* x y))) y) |
(/.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) y) |
(/ (+ 1/2 (* -2 (* x y))) y) |
(/.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) y) |
(/ (+ 1/2 (* -2 (* x y))) y) |
(/.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) y) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64))) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64))) y) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64))) y) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/ (+ (* -2 (* (pow x 2) y)) (* 1/2 x)) y) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64))) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* 11 (* (pow x 4) (pow y 2)))))) y) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 11 binary64)) (*.f64 x (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)))) y) |
(/ (+ (* 1/2 x) (* y (+ (* -2 (pow x 2)) (* (pow y 2) (+ (* -121 (* (pow x 2) (pow y 2))) (* 11 (pow x 4))))))) y) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -121 binary64) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 11 binary64) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y (*.f64 x #s(literal 1/2 binary64))) y) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -2 (* x y))) |
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(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64))) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal 121 binary64) x) x) (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 4 binary64))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -1 (* x (- 2 (* 1/2 (/ 1 (* x y)))))) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) |
(* -1 (* x (- 2 (* 1/2 (/ 1 (* x y)))))) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) |
(* -1 (* x (- 2 (* 1/2 (/ 1 (* x y)))))) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (* x y))) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(* 11 (* (pow x 4) (pow y 2))) |
(*.f64 (*.f64 #s(literal 11 binary64) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) |
(* (pow x 4) (+ (* -1 (/ (+ 2 (+ (* 121 (pow y 4)) (pow y 6))) (pow x 2))) (* 11 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))) x) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* 11 (pow y 2)) (/ 1/2 (* (pow x 3) y))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (fma.f64 (/.f64 (/.f64 #s(literal 121 binary64) x) x) (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (+ (* 11/2 (pow y 8)) (* 1335/4 (pow y 6))) x)) (* 1/2 (/ 1 y))) (pow x 3))) (* 11 (pow y 2))) (+ (* 121 (/ (pow y 4) (pow x 2))) (+ (* 2 (/ 1 (pow x 2))) (/ (pow y 6) (pow x 2)))))) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 11 binary64) y) y (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (*.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64))) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 #s(literal 121 binary64) x) x) (pow.f64 y #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 4 binary64))) |
(* -2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -2 binary64)) |
(* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* 2 y) (* 1/2 (/ 1 x))))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 263 |
| 0 | 61 | 259 |
| 1 | 281 | 259 |
| 2 | 2291 | 253 |
| 0 | 8144 | 241 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
#s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(*.f64 x x) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y)) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) |
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) |
(*.f64 y x) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 x y) |
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Compiled 8 873 to 1 124 computations (87.3% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 551 | 0 | 551 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 551 | 3 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 11.0% | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) |
| ✓ | 11.0% | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) |
| ✓ | 11.0% | #s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
Compiled 116 to 77 computations (33.6% saved)
| Inputs |
|---|
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 1/2 binary64)) (/.f64 x y))) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (/.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) x) y #s(literal 1/2 binary64))) y)) |
(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) |
3 calls:
| 17.0ms | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.0% | 1 | x |
| 11.0% | 1 | y |
| 11.0% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Compiled 45 to 34 computations (24.4% saved)
Total -6.0b remaining (-10.6%)
Threshold costs -6b (-10.6%)
| Inputs |
|---|
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
3 calls:
| 2.0ms | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.0% | 1 | x |
| 11.0% | 1 | y |
| 11.0% | 1 | (+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Compiled 45 to 34 computations (24.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 125 |
| 1 | 99 | 125 |
| 2 | 227 | 125 |
| 3 | 572 | 125 |
| 4 | 1756 | 125 |
| 5 | 3800 | 125 |
| 6 | 6246 | 125 |
| 7 | 7750 | 125 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
| Outputs |
|---|
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (+ (+ (+ (* 1335/4 (pow y 6)) (* (* x x) (- (- (- (* (* (* (* 11 x) x) y) y) (pow y 6)) (* 121 (pow y 4))) 2))) (* 11/2 (pow y 8))) (/ x (* 2 y))) #s(approx (/ (* x (+ (* (* -2 x) y) 1/2)) y) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 2300 |
| 1 | 555 | 2272 |
| 2 | 1842 | 2216 |
| 3 | 6386 | 2190 |
| 0 | 8352 | 2063 |
| 0 | 159 | 2078 |
| 1 | 477 | 1980 |
| 2 | 1478 | 1970 |
| 3 | 4761 | 1950 |
| 0 | 8106 | 1814 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 37 to 33 computations (10.8% saved)
(abs x)
(abs y)
Compiled 200 to 158 computations (21% saved)
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