
Time bar (total: 7.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 93.8% | 93.6% | 6.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 740.0ms | 8 256× | 0 | valid |
ival-mult: 345.0ms (69.6% of total)ival-div: 62.0ms (12.5% of total)ival-sub: 37.0ms (7.5% of total)ival-add: 37.0ms (7.5% of total)ival-true: 7.0ms (1.4% of total)exact: 5.0ms (1% of total)ival-assert: 4.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 70 | 0 | - | 1 | (-5.5666236689691344e-294 3.8684967942711317e-159 -1.8820644786551193e-187) | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 37 | 0 | - | 0 | - | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) | o/n | 69 | 0 |
| ↳ | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | overflow | 158 | |
| ↳ | (*.f64 y y) | overflow | 69 | |
| ↳ | (*.f64 x x) | overflow | 71 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 122 | |
| ↳ | (*.f64 z z) | overflow | 73 | |
-.f64 | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | nan-rescue | 37 | 0 |
| ↳ | (*.f64 y y) | overflow | 69 | |
| ↳ | (*.f64 x x) | overflow | 71 | |
| ↳ | (+.f64 (*.f64 x x) (*.f64 y y)) | overflow | 122 | |
| ↳ | (*.f64 z z) | overflow | 73 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 92 | 1 |
| - | 0 | 163 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 92 | 0 | 1 |
| - | 0 | 0 | 163 |
| number | freq |
|---|---|
| 0 | 164 |
| 1 | 78 |
| 2 | 14 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 53.0ms | 512× | 0 | valid |
Compiled 166 to 48 computations (71.1% saved)
ival-mult: 15.0ms (42.8% of total)ival-add: 9.0ms (25.7% of total)ival-div: 8.0ms (22.8% of total)ival-sub: 2.0ms (5.7% of total)ival-true: 1.0ms (2.9% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 138 |
| 1 | 147 | 135 |
| 2 | 489 | 135 |
| 3 | 2191 | 135 |
| 4 | 6834 | 117 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 32 | 15 |
| 2 | 69 | 15 |
| 3 | 136 | 15 |
| 4 | 295 | 15 |
| 5 | 630 | 15 |
| 6 | 1505 | 13 |
| 7 | 3475 | 13 |
| 8 | 7859 | 13 |
| 0 | 8033 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 2 binary64)) |
(abs z)
(abs x)
(negabs y)
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.4% | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (+.f64 (*.f64 x x) (*.f64 y y)) | |
| cost-diff | 128 | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 49 |
| 0 | 18 | 49 |
| 1 | 32 | 49 |
| 2 | 69 | 49 |
| 3 | 136 | 49 |
| 4 | 295 | 49 |
| 5 | 630 | 49 |
| 6 | 1505 | 47 |
| 7 | 3475 | 47 |
| 8 | 7859 | 47 |
| 0 | 8033 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 2 binary64)) |
(fma.f64 (-.f64 x z) (+.f64 z x) (*.f64 y y)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 8.132781537453088 | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) | |
| accuracy | 16.07764197091104 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 37.0ms | 256× | 0 | valid |
Compiled 100 to 24 computations (76% saved)
ival-mult: 24.0ms (83.5% of total)ival-div: 2.0ms (7% of total)ival-sub: 1.0ms (3.5% of total)ival-add: 1.0ms (3.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2)) |
| 1.0ms | z | @ | inf | ((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2)) |
| 1.0ms | z | @ | 0 | ((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2)) |
| 1.0ms | y | @ | 0 | ((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2)) |
| 1.0ms | y | @ | -inf | ((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 1242 |
| 1 | 198 | 1242 |
| 2 | 568 | 1240 |
| 3 | 2184 | 1100 |
| 4 | 6023 | 1076 |
| 0 | 8140 | 990 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (pow x 2) (pow y 2)) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1)) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(- (pow x 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(pow x 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(pow y 2) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(pow y 2) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(- (pow y 2) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(- (+ (pow x 2) (pow y 2)) (pow z 2)) |
(pow y 2) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(+ (pow x 2) (pow y 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(pow x 2) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(pow x 2) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
| Outputs |
|---|
(fma.f64 y y (*.f64 x x)) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 z) z) |
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (*.f64 z z) (*.f64 x x)) |
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (*.f64 z z) (*.f64 x x)) |
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (*.f64 z z) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 z) z) |
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (*.f64 z z) (*.f64 x x)) |
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (*.f64 z z) (*.f64 x x)) |
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (*.f64 z z) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 x z) (+.f64 z x)) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(*.f64 x x) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y y) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(*.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y y) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(*.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 #s(literal 2 binary64) y) |
(fma.f64 (neg.f64 z) z (*.f64 y y)) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(*.f64 y y) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(*.f64 x x) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(*.f64 x x) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 0 | 18 | 42 |
| 1 | 68 | 42 |
| 2 | 569 | 42 |
| 0 | 8301 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(*.f64 y y) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
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Compiled 20 579 to 1 687 computations (91.8% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 661 | 13 | 674 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 662 | 13 | 675 |
| Status | Accuracy | Program |
|---|---|---|
| 63.0% | (fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) | |
| 30.4% | (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) | |
| ▶ | 53.2% | (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))) |
| 41.0% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) | |
| 33.0% | (/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64))) | |
| 34.6% | (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) z) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) | |
| ▶ | 71.3% | (*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) |
| ▶ | 99.9% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
| ▶ | 65.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
| 32.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) | |
| 59.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) | |
| 69.3% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) | |
| ▶ | 32.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
Compiled 646 to 394 computations (39% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) y) | |
| cost-diff | 320 | (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 448 | (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) | |
| cost-diff | 2944 | (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (+.f64 y z) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) x y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (/.f64 (-.f64 x z) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 281 |
| 0 | 64 | 259 |
| 1 | 131 | 257 |
| 2 | 384 | 255 |
| 3 | 1924 | 255 |
| 4 | 5469 | 255 |
| 0 | 8323 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
(+.f64 z x) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) x y) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) |
(+.f64 y z) |
y |
z |
(-.f64 y z) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))) |
(-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 z z) |
z |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) |
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
(+.f64 z x) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) x y) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(+.f64 z y) |
y |
z |
(-.f64 y z) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))) |
(*.f64 y (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 z z) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (/.f64 y (fma.f64 y y (*.f64 x x))) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y y (*.f64 x x))) y) |
(fma.f64 y y (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 z z) |
z |
(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 y y)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.5899101329035172 | (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)) | |
| accuracy | 3.035670460485375 | (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 12.423363320804665 | (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z)) | |
| accuracy | 19.463970488376376 | (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) | |
| accuracy | 0 | (+.f64 y z) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 2.499972476055602 | (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) | |
| accuracy | 16.09326697091104 | (*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) | |
| accuracy | 0.07421875 | (fma.f64 (/.f64 x y) x y) | |
| accuracy | 21.8852934204701 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 43.43728857417257 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0 | (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) | |
| accuracy | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 x z) y) | |
| accuracy | 0.0703125 | (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
| 96.0ms | 256× | 0 | valid |
Compiled 551 to 77 computations (86% saved)
ival-add: 25.0ms (41.5% of total)ival-mult: 20.0ms (33.2% of total)ival-div: 10.0ms (16.6% of total)ival-sub: 5.0ms (8.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 x y) x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 y z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 y z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | x | @ | 0 | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ y z) (- y z) (* x x) (/ (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y))) (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y)) (* 2 y) (+ (* (+ y z) (- y z)) (* x x)) (/ (* 2 y) (+ (* y y) (* x x))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) |
| 10.0ms | y | @ | inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ y z) (- y z) (* x x) (/ (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y))) (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y)) (* 2 y) (+ (* (+ y z) (- y z)) (* x x)) (/ (* 2 y) (+ (* y y) (* x x))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) |
| 9.0ms | y | @ | 0 | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ y z) (- y z) (* x x) (/ (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y))) (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y)) (* 2 y) (+ (* (+ y z) (- y z)) (* x x)) (/ (* 2 y) (+ (* y y) (* x x))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) |
| 8.0ms | z | @ | 0 | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ y z) (- y z) (* x x) (/ (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y))) (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y)) (* 2 y) (+ (* (+ y z) (- y z)) (* x x)) (/ (* 2 y) (+ (* y y) (* x x))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) |
| 6.0ms | y | @ | -inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ y z) (- y z) (* x x) (/ (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y))) (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y)) (* 2 y) (+ (* (+ y z) (- y z)) (* x x)) (/ (* 2 y) (+ (* y y) (* x x))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 813 | 8667 |
| 1 | 2603 | 8172 |
| 0 | 8762 | 7723 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 1/2 (+ y (/ (pow x 2) y))) |
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y)))) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))))) |
(+ y (/ (pow x 2) y)) |
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y))) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y))) |
(/ x y) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 2 y) |
(+ (* -2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) (* 2 y)) |
(+ (* -2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) (* 2 y)) |
(+ (* -2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) (* 2 y)) |
(+ (pow x 2) (pow y 2)) |
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2))) |
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2))) |
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2))) |
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(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) |
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) |
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) |
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(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
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(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y)))) |
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(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y))) |
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y))) |
(* -1 (/ z y)) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* -1 z) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y)))) |
(* -2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) |
(* (pow z 2) (- (* 2 (/ y (pow z 2))) (* 2 (/ y (+ (pow x 2) (pow y 2)))))) |
(* (pow z 2) (- (* 2 (/ y (pow z 2))) (* 2 (/ y (+ (pow x 2) (pow y 2)))))) |
(* (pow z 2) (- (* 2 (/ y (pow z 2))) (* 2 (/ y (+ (pow x 2) (pow y 2)))))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1)) |
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1)) |
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1)) |
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) |
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) |
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) |
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y)))) |
(* -1 (/ (pow z 2) y)) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y))) |
(* -1 (/ z y)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y)))) |
(* -2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) |
(* (pow z 2) (- (* 2 (/ y (pow z 2))) (* 2 (/ y (+ (pow x 2) (pow y 2)))))) |
(* (pow z 2) (- (* 2 (/ y (pow z 2))) (* 2 (/ y (+ (pow x 2) (pow y 2)))))) |
(* (pow z 2) (- (* 2 (/ y (pow z 2))) (* 2 (/ y (+ (pow x 2) (pow y 2)))))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1)) |
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) |
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) |
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) |
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* 1/2 (/ (* (+ x z) (- x z)) y)) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y) |
(/ (* (+ x z) (- x z)) y) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* 1/2 (/ (pow x 2) y)) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y) |
(/ (pow x 2) y) |
(/ (+ (pow x 2) (pow y 2)) y) |
(/ (+ (pow x 2) (pow y 2)) y) |
(/ (+ (pow x 2) (pow y 2)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) |
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y) |
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y) |
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
(* 1/4 (/ (* (pow x 2) (- 2 (* 2 (/ (pow z 2) (pow x 2))))) y)) |
(/ (+ (* 1/4 (* (pow x 2) (- 2 (* 2 (/ (pow z 2) (pow x 2)))))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/4 (* (pow x 2) (- 2 (* 2 (/ (pow z 2) (pow x 2)))))) (* (pow y 2) (+ 1/2 (* 1/4 (* (pow y 2) (+ (* -2 (/ (pow z 2) (pow x 4))) (* 2 (/ (pow z 2) (pow x 4))))))))) y) |
(/ (+ (* 1/4 (* (pow x 2) (- 2 (* 2 (/ (pow z 2) (pow x 2)))))) (* (pow y 2) (+ 1/2 (* (pow y 2) (+ (* 1/4 (* (pow y 2) (+ (* -2 (/ (pow z 2) (pow x 6))) (* 2 (/ (pow z 2) (pow x 6)))))) (* 1/4 (+ (* -2 (/ (pow z 2) (pow x 4))) (* 2 (/ (pow z 2) (pow x 4)))))))))) y) |
(* y (- 2 (* 2 (/ (pow z 2) (pow x 2))))) |
(* y (- (+ 2 (* 2 (/ (* (pow y 2) (pow z 2)) (pow x 4)))) (* 2 (/ (pow z 2) (pow x 2))))) |
(* y (- (+ 2 (* (pow y 2) (- (* -2 (/ (* (pow y 2) (pow z 2)) (pow x 6))) (* -2 (/ (pow z 2) (pow x 4)))))) (* 2 (/ (pow z 2) (pow x 2))))) |
(* y (- (+ 2 (* (pow y 2) (- (* (pow y 2) (- (* 2 (/ (* (pow y 2) (pow z 2)) (pow x 8))) (* 2 (/ (pow z 2) (pow x 6))))) (* -2 (/ (pow z 2) (pow x 4)))))) (* 2 (/ (pow z 2) (pow x 2))))) |
(* 4 (/ (pow y 2) (pow x 2))) |
(* (pow y 2) (+ (* -4 (/ (pow y 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(* (pow y 2) (+ (* (pow y 2) (- (* 4 (/ (pow y 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
(* (pow y 2) (+ (* (pow y 2) (- (* (pow y 2) (+ (* -4 (/ (pow y 2) (pow x 8))) (* 4 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2))) |
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2))) |
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2))) |
(* 2 (/ y (pow x 2))) |
(* y (+ (* -2 (/ (pow y 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(* y (+ (* (pow y 2) (- (* 2 (/ (pow y 2) (pow x 6))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -2 (/ (pow y 2) (pow x 8))) (* 2 (/ 1 (pow x 6))))) (* 2 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
(* 2 (/ (* y (pow z 2)) (pow x 2))) |
(* y (+ (* -2 (/ (* (pow y 2) (pow z 2)) (pow x 4))) (* 2 (/ (pow z 2) (pow x 2))))) |
(* y (+ (* 2 (/ (pow z 2) (pow x 2))) (* (pow y 2) (+ (* -2 (/ (pow z 2) (pow x 4))) (* 2 (/ (* (pow y 2) (pow z 2)) (pow x 6))))))) |
(* y (+ (* 2 (/ (pow z 2) (pow x 2))) (* (pow y 2) (+ (* -2 (/ (pow z 2) (pow x 4))) (* (pow y 2) (+ (* -2 (/ (* (pow y 2) (pow z 2)) (pow x 8))) (* 2 (/ (pow z 2) (pow x 6))))))))) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2))))) |
y |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2)))) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))) |
y |
(* y (+ 1 (/ (pow x 2) (pow y 2)))) |
(* y (+ 1 (/ (pow x 2) (pow y 2)))) |
(* y (+ 1 (/ (pow x 2) (pow y 2)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y)))) |
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2)))))) |
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2)))))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/4 (/ (+ (* -2 (pow z 2)) (* 2 (pow x 2))) (pow y 2))))) |
(* y (+ 1/2 (+ (* 1/4 (/ (+ (* -2 (* (pow x 2) (pow z 2))) (* 2 (* (pow x 2) (pow z 2)))) (pow y 4))) (* 1/4 (/ (+ (* -2 (pow z 2)) (* 2 (pow x 2))) (pow y 2)))))) |
(* y (+ 1/2 (+ (* 1/4 (/ (+ (* -2 (* (pow x 2) (pow z 2))) (* 2 (* (pow x 2) (pow z 2)))) (pow y 4))) (+ (* 1/4 (/ (+ (* -2 (* (pow x 4) (pow z 2))) (* 2 (* (pow x 4) (pow z 2)))) (pow y 6))) (* 1/4 (/ (+ (* -2 (pow z 2)) (* 2 (pow x 2))) (pow y 2))))))) |
(* 2 y) |
(* y (+ 2 (* -2 (/ (pow z 2) (pow y 2))))) |
(* y (- (+ 2 (* 2 (/ (* (pow x 2) (pow z 2)) (pow y 4)))) (* 2 (/ (pow z 2) (pow y 2))))) |
(* y (- (+ 2 (* -2 (/ (* (pow x 4) (pow z 2)) (pow y 6)))) (+ (* -2 (/ (* (pow x 2) (pow z 2)) (pow y 4))) (* 2 (/ (pow z 2) (pow y 2)))))) |
4 |
(+ 4 (* -4 (/ (pow x 2) (pow y 2)))) |
(- (+ 4 (* 4 (/ (pow x 4) (pow y 4)))) (* 4 (/ (pow x 2) (pow y 2)))) |
(- (+ 4 (* -4 (/ (pow x 6) (pow y 6)))) (+ (* -4 (/ (pow x 4) (pow y 4))) (* 4 (/ (pow x 2) (pow y 2))))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) |
(/ 2 y) |
(/ (+ 2 (* -2 (/ (pow x 2) (pow y 2)))) y) |
(/ (- (+ 2 (* 2 (/ (pow x 4) (pow y 4)))) (* 2 (/ (pow x 2) (pow y 2)))) y) |
(/ (- (+ 2 (* -2 (/ (pow x 6) (pow y 6)))) (+ (* -2 (/ (pow x 4) (pow y 4))) (* 2 (/ (pow x 2) (pow y 2))))) y) |
(* 2 (/ (pow z 2) y)) |
(/ (+ (* -2 (/ (* (pow x 2) (pow z 2)) (pow y 2))) (* 2 (pow z 2))) y) |
(/ (+ (* -2 (/ (* (pow x 2) (pow z 2)) (pow y 2))) (+ (* 2 (/ (* (pow x 4) (pow z 2)) (pow y 4))) (* 2 (pow z 2)))) y) |
(/ (+ (* -2 (/ (* (pow x 2) (pow z 2)) (pow y 2))) (+ (* -2 (/ (* (pow x 6) (pow z 2)) (pow y 6))) (+ (* 2 (/ (* (pow x 4) (pow z 2)) (pow y 4))) (* 2 (pow z 2))))) y) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2))) |
y |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1))) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
y |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2))) |
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2))) |
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* 1/2 y) |
(* -1 (* y (- (* -1/4 (/ (+ (* -2 (pow z 2)) (* 2 (pow x 2))) (pow y 2))) 1/2))) |
(* -1 (* y (- (+ (* -1/4 (/ (+ (* -2 (* (pow x 2) (pow z 2))) (* 2 (* (pow x 2) (pow z 2)))) (pow y 4))) (* -1/4 (/ (+ (* -2 (pow z 2)) (* 2 (pow x 2))) (pow y 2)))) 1/2))) |
(* -1 (* y (- (+ (* -1/4 (/ (+ (* -2 (* (pow x 2) (pow z 2))) (* 2 (* (pow x 2) (pow z 2)))) (pow y 4))) (+ (* -1/4 (/ (+ (* -2 (* (pow x 4) (pow z 2))) (* 2 (* (pow x 4) (pow z 2)))) (pow y 6))) (* -1/4 (/ (+ (* -2 (pow z 2)) (* 2 (pow x 2))) (pow y 2))))) 1/2))) |
(* 2 y) |
(* -1 (* y (- (* 2 (/ (pow z 2) (pow y 2))) 2))) |
(* -1 (* y (- (* -2 (/ (* (pow x 2) (pow z 2)) (pow y 4))) (+ 2 (* -2 (/ (pow z 2) (pow y 2))))))) |
(* -1 (* y (- (* 2 (/ (* (pow x 4) (pow z 2)) (pow y 6))) (+ 2 (+ (* -2 (/ (pow z 2) (pow y 2))) (* 2 (/ (* (pow x 2) (pow z 2)) (pow y 4)))))))) |
4 |
(+ 4 (* -4 (/ (pow x 2) (pow y 2)))) |
(- (+ 4 (* 4 (/ (pow x 4) (pow y 4)))) (* 4 (/ (pow x 2) (pow y 2)))) |
(- (+ 4 (* -4 (/ (pow x 6) (pow y 6)))) (+ (* -4 (/ (pow x 4) (pow y 4))) (* 4 (/ (pow x 2) (pow y 2))))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)))) |
(/ 2 y) |
(* -1 (/ (- (* 2 (/ (pow x 2) (pow y 2))) 2) y)) |
(* -1 (/ (- (* -2 (/ (pow x 4) (pow y 4))) (+ 2 (* -2 (/ (pow x 2) (pow y 2))))) y)) |
(* -1 (/ (- (* 2 (/ (pow x 6) (pow y 6))) (+ 2 (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (/ (pow x 4) (pow y 4)))))) y)) |
(* 2 (/ (pow z 2) y)) |
(* -1 (/ (+ (* -2 (pow z 2)) (* 2 (/ (* (pow x 2) (pow z 2)) (pow y 2)))) y)) |
(* -1 (/ (+ (* -2 (/ (* (pow x 4) (pow z 2)) (pow y 4))) (+ (* -2 (pow z 2)) (* 2 (/ (* (pow x 2) (pow z 2)) (pow y 2))))) y)) |
(* -1 (/ (+ (* -2 (/ (* (pow x 4) (pow z 2)) (pow y 4))) (+ (* -2 (pow z 2)) (+ (* 2 (/ (* (pow x 2) (pow z 2)) (pow y 2))) (* 2 (/ (* (pow x 6) (pow z 2)) (pow y 6)))))) y)) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(+ y (* -1 (/ (pow z 2) y))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
y |
(+ y (/ (pow x 2) y)) |
(+ y (/ (pow x 2) y)) |
(+ y (/ (pow x 2) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/2 (/ (* (+ y z) (- y z)) y)) |
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/4 (- (* 2 y) (* 2 (/ (pow z 2) y)))) |
(+ (* 1/4 (- (* 2 y) (* 2 (/ (pow z 2) y)))) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/4 (- (* 2 y) (* 2 (/ (pow z 2) y)))) (* (pow x 2) (+ (* 1/4 (* (pow x 2) (+ (* -2 (/ (pow z 2) (pow y 5))) (* 2 (/ (pow z 2) (pow y 5)))))) (* 1/2 (/ 1 y))))) |
(+ (* 1/4 (- (* 2 y) (* 2 (/ (pow z 2) y)))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/4 (* (pow x 2) (+ (* -2 (/ (pow z 2) (pow y 7))) (* 2 (/ (pow z 2) (pow y 7)))))) (* 1/4 (+ (* -2 (/ (pow z 2) (pow y 5))) (* 2 (/ (pow z 2) (pow y 5))))))) (* 1/2 (/ 1 y))))) |
(- (* 2 y) (* 2 (/ (pow z 2) y))) |
(- (+ (* 2 y) (* 2 (/ (* (pow x 2) (pow z 2)) (pow y 3)))) (* 2 (/ (pow z 2) y))) |
(- (+ (* 2 y) (* (pow x 2) (- (* -2 (/ (* (pow x 2) (pow z 2)) (pow y 5))) (* -2 (/ (pow z 2) (pow y 3)))))) (* 2 (/ (pow z 2) y))) |
(- (+ (* 2 y) (* (pow x 2) (- (* (pow x 2) (- (* 2 (/ (* (pow x 2) (pow z 2)) (pow y 7))) (* 2 (/ (pow z 2) (pow y 5))))) (* -2 (/ (pow z 2) (pow y 3)))))) (* 2 (/ (pow z 2) y))) |
4 |
(+ 4 (* -4 (/ (pow x 2) (pow y 2)))) |
(+ 4 (* (pow x 2) (- (* 4 (/ (pow x 2) (pow y 4))) (* 4 (/ 1 (pow y 2)))))) |
(+ 4 (* (pow x 2) (- (* (pow x 2) (+ (* -4 (/ (pow x 2) (pow y 6))) (* 4 (/ 1 (pow y 4))))) (* 4 (/ 1 (pow y 2)))))) |
(* (+ y z) (- y z)) |
(+ (* (+ y z) (- y z)) (pow x 2)) |
(+ (* (+ y z) (- y z)) (pow x 2)) |
(+ (* (+ y z) (- y z)) (pow x 2)) |
(/ 2 y) |
(+ (* -2 (/ (pow x 2) (pow y 3))) (* 2 (/ 1 y))) |
(+ (* (pow x 2) (- (* 2 (/ (pow x 2) (pow y 5))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 y))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -2 (/ (pow x 2) (pow y 7))) (* 2 (/ 1 (pow y 5))))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 y))) |
(* 2 (/ (pow z 2) y)) |
(+ (* -2 (/ (* (pow x 2) (pow z 2)) (pow y 3))) (* 2 (/ (pow z 2) y))) |
(+ (* 2 (/ (pow z 2) y)) (* (pow x 2) (+ (* -2 (/ (pow z 2) (pow y 3))) (* 2 (/ (* (pow x 2) (pow z 2)) (pow y 5)))))) |
(+ (* 2 (/ (pow z 2) y)) (* (pow x 2) (+ (* -2 (/ (pow z 2) (pow y 3))) (* (pow x 2) (+ (* -2 (/ (* (pow x 2) (pow z 2)) (pow y 7))) (* 2 (/ (pow z 2) (pow y 5)))))))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y))))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y))))))) |
(/ x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (* y (pow z 2))) (* 2 (* y (pow z 2)))) (pow x 4))) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (* y (pow z 2))) (* 2 (* y (pow z 2)))) (pow x 4))) (+ (* 1/4 (/ (+ (* -2 (* (pow y 3) (pow z 2))) (* 2 (* (pow y 3) (pow z 2)))) (pow x 6))) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y)))))) |
(* 2 y) |
(+ (* -2 (/ (* y (pow z 2)) (pow x 2))) (* 2 y)) |
(- (+ (* 2 y) (* 2 (/ (* (pow y 3) (pow z 2)) (pow x 4)))) (* 2 (/ (* y (pow z 2)) (pow x 2)))) |
(- (+ (* -2 (/ (* (pow y 5) (pow z 2)) (pow x 6))) (* 2 y)) (+ (* -2 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (* 2 (/ (* y (pow z 2)) (pow x 2))))) |
(* 4 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -4 (/ (pow y 4) (pow x 2))) (* 4 (pow y 2))) (pow x 2)) |
(/ (+ (* -4 (/ (pow y 4) (pow x 2))) (+ (* 4 (/ (pow y 6) (pow x 4))) (* 4 (pow y 2)))) (pow x 2)) |
(/ (+ (* -4 (/ (pow y 4) (pow x 2))) (+ (* -4 (/ (pow y 8) (pow x 6))) (+ (* 4 (/ (pow y 6) (pow x 4))) (* 4 (pow y 2))))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) |
(* 2 (/ y (pow x 2))) |
(/ (+ (* -2 (/ (pow y 3) (pow x 2))) (* 2 y)) (pow x 2)) |
(/ (+ (* -2 (/ (pow y 3) (pow x 2))) (+ (* 2 y) (* 2 (/ (pow y 5) (pow x 4))))) (pow x 2)) |
(/ (+ (* -2 (/ (pow y 3) (pow x 2))) (+ (* -2 (/ (pow y 7) (pow x 6))) (+ (* 2 y) (* 2 (/ (pow y 5) (pow x 4)))))) (pow x 2)) |
(* 2 (/ (* y (pow z 2)) (pow x 2))) |
(/ (+ (* -2 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (* 2 (* y (pow z 2)))) (pow x 2)) |
(/ (+ (* -2 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (+ (* 2 (* y (pow z 2))) (* 2 (/ (* (pow y 5) (pow z 2)) (pow x 4))))) (pow x 2)) |
(/ (+ (* -2 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (+ (* -2 (/ (* (pow y 7) (pow z 2)) (pow x 6))) (+ (* 2 (* y (pow z 2))) (* 2 (/ (* (pow y 5) (pow z 2)) (pow x 4)))))) (pow x 2)) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(/ x y) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (* y (pow z 2))) (* 2 (* y (pow z 2)))) (pow x 4))) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (* y (pow z 2))) (* 2 (* y (pow z 2)))) (pow x 4))) (+ (* 1/4 (/ (+ (* -2 (* (pow y 3) (pow z 2))) (* 2 (* (pow y 3) (pow z 2)))) (pow x 6))) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y)))))) |
(* 2 y) |
(+ (* -2 (/ (* y (pow z 2)) (pow x 2))) (* 2 y)) |
(- (+ (* 2 y) (* 2 (/ (* (pow y 3) (pow z 2)) (pow x 4)))) (* 2 (/ (* y (pow z 2)) (pow x 2)))) |
(- (+ (* -2 (/ (* (pow y 5) (pow z 2)) (pow x 6))) (* 2 y)) (+ (* -2 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (* 2 (/ (* y (pow z 2)) (pow x 2))))) |
(* 4 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -4 (/ (pow y 4) (pow x 2))) (* 4 (pow y 2))) (pow x 2)) |
(/ (+ (* -4 (/ (pow y 4) (pow x 2))) (+ (* 4 (/ (pow y 6) (pow x 4))) (* 4 (pow y 2)))) (pow x 2)) |
(/ (+ (* -4 (/ (pow y 4) (pow x 2))) (+ (* -4 (/ (pow y 8) (pow x 6))) (+ (* 4 (/ (pow y 6) (pow x 4))) (* 4 (pow y 2))))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) |
(* 2 (/ y (pow x 2))) |
(/ (+ (* -2 (/ (pow y 3) (pow x 2))) (* 2 y)) (pow x 2)) |
(/ (+ (* -2 (/ (pow y 3) (pow x 2))) (+ (* 2 y) (* 2 (/ (pow y 5) (pow x 4))))) (pow x 2)) |
(/ (+ (* -2 (/ (pow y 3) (pow x 2))) (+ (* -2 (/ (pow y 7) (pow x 6))) (+ (* 2 y) (* 2 (/ (pow y 5) (pow x 4)))))) (pow x 2)) |
(* 2 (/ (* y (pow z 2)) (pow x 2))) |
(/ (+ (* -2 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (* 2 (* y (pow z 2)))) (pow x 2)) |
(/ (+ (* -2 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (+ (* 2 (* y (pow z 2))) (* 2 (/ (* (pow y 5) (pow z 2)) (pow x 4))))) (pow x 2)) |
(/ (+ (* -2 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (+ (* -2 (/ (* (pow y 7) (pow z 2)) (pow x 6))) (+ (* 2 (* y (pow z 2))) (* 2 (/ (* (pow y 5) (pow z 2)) (pow x 4)))))) (pow x 2)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z (*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z (*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 x (/.f64 x y) y) |
(fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x y) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) |
(/.f64 x y) |
(/.f64 (-.f64 x z) y) |
(/.f64 (-.f64 x z) y) |
(/.f64 (-.f64 x z) y) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
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y |
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#s(literal 4 binary64) |
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#s(literal 4 binary64) |
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(/.f64 #s(literal 2 binary64) y) |
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(*.f64 (fma.f64 (*.f64 (/.f64 z x) (/.f64 z x)) #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64)))) y) (*.f64 (/.f64 (*.f64 z z) x) (/.f64 y x)))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 5 binary64))) (*.f64 z (/.f64 z (pow.f64 x #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 z z) x) (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64)))))))) |
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) y) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 4 binary64) (fma.f64 y y (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 4 binary64) (fma.f64 y y (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) y) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 #s(literal 2 binary64) y)) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) y) (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) x) (/.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) y))) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 z z) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) z (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (*.f64 z z) x))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (*.f64 z z) x) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 z z) y)))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 z z) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (pow.f64 y #s(literal 7 binary64)) (*.f64 z (/.f64 z (pow.f64 x #s(literal 6 binary64)))))) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 z z) y)))) (*.f64 x x)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x (/.f64 #s(literal 0 binary64) x)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) #s(literal -1/2 binary64) #s(literal 0 binary64)) x)) x) x) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) #s(literal -1/2 binary64) #s(literal 0 binary64)) x)) x) x) |
(/.f64 (*.f64 x x) y) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 z y) x)) (*.f64 x x)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (neg.f64 x)) x)) x) x) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) (neg.f64 x)) x)) x) x) |
(/.f64 x y) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x) |
(*.f64 (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x) |
(*.f64 (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x) |
(/.f64 (*.f64 x x) y) |
(*.f64 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(*.f64 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(*.f64 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) #s(literal 0 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 (fma.f64 (*.f64 (/.f64 z x) (/.f64 z x)) #s(literal -2 binary64) #s(literal 2 binary64)) y) |
(*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64)))) y) (*.f64 (/.f64 (*.f64 z z) x) (/.f64 y x)))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 5 binary64))) (*.f64 z (/.f64 z (pow.f64 x #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 z z) x) (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64)))))))) |
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) y) y) |
(/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 4 binary64) (fma.f64 y y (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 4 binary64) (fma.f64 y y (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) y) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 #s(literal 2 binary64) y)) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) y) (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) x) (/.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) y))) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 z z) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) z (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (*.f64 z z) x))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (*.f64 z z) x) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 z z) y)))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 z z) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (pow.f64 y #s(literal 7 binary64)) (*.f64 z (/.f64 z (pow.f64 x #s(literal 6 binary64)))))) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 z z) y)))) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 243 |
| 0 | 64 | 240 |
| 1 | 286 | 236 |
| 2 | 2632 | 231 |
| 0 | 8291 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) |
(/.f64 (-.f64 x z) y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) x y) |
(/.f64 x y) |
(*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) |
(+.f64 y z) |
(-.f64 y z) |
(*.f64 x x) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))) |
(-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z)) |
| Outputs |
|---|
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Compiled 56 638 to 3 934 computations (93.1% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 479 | 8 | 1 487 |
| Fresh | 5 | 3 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 487 | 13 | 1 500 |
| Status | Accuracy | Program |
|---|---|---|
| 30.4% | (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) | |
| 33.1% | (*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) | |
| 73.3% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z y)) (*.f64 y y)) (+.f64 z x) y) #s(literal 1/2 binary64))) | |
| ✓ | 65.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
| ▶ | 99.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) |
| ▶ | 65.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) |
| 65.5% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))) | |
| ▶ | 32.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) |
| ▶ | 59.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
| 35.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) | |
| ▶ | 35.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
| 87.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 y))) #s(literal 1/2 binary64))) | |
| ✓ | 32.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
Compiled 653 to 436 computations (33.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 (*.f64 z z) y) | |
| cost-diff | 0 | (-.f64 y (/.f64 (*.f64 z z) y)) | |
| cost-diff | 0 | (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (/.f64 (*.f64 z z) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 269 |
| 0 | 57 | 267 |
| 1 | 108 | 258 |
| 2 | 258 | 253 |
| 3 | 642 | 253 |
| 4 | 1701 | 253 |
| 5 | 3907 | 238 |
| 6 | 7395 | 238 |
| 0 | 8036 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) |
#s(literal 1 binary64) |
(/.f64 y (-.f64 x z)) |
y |
(-.f64 x z) |
x |
z |
(+.f64 z x) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
#s(literal -1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(-.f64 y (/.f64 (*.f64 z z) y)) |
y |
(/.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) |
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) |
(/.f64 (-.f64 x z) y) |
#s(literal 1 binary64) |
(/.f64 y (-.f64 x z)) |
y |
(-.f64 x z) |
x |
z |
(+.f64 z x) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
#s(literal -1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(-.f64 y (/.f64 (*.f64 z z) y)) |
y |
(/.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) x y) |
(/.f64 x y) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)) | |
| accuracy | 0.07421875 | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) | |
| accuracy | 0.42693369160964756 | (/.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| accuracy | 21.8852934204701 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0.0078125 | (-.f64 y (/.f64 (*.f64 z z) y)) | |
| accuracy | 6.802557734506806 | (/.f64 (*.f64 z z) y) | |
| accuracy | 21.873685773265148 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 6.802557734506806 | (/.f64 (*.f64 z z) y) | |
| accuracy | 41.56520733811083 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) | |
| accuracy | 0.14453125 | (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) | |
| accuracy | 41.11880158964683 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) | |
| accuracy | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) | |
| accuracy | 0.01171875 | (/.f64 y (-.f64 x z)) | |
| accuracy | 0.0703125 | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) | |
| accuracy | 0.2109375 | (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) |
| 88.0ms | 256× | 0 | valid |
Compiled 492 to 72 computations (85.4% saved)
ival-mult: 21.0ms (48.6% of total)ival-div: 14.0ms (32.4% of total)ival-add: 5.0ms (11.6% of total)ival-sub: 4.0ms (9.2% of total)exact: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 z z) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 y (/.f64 (*.f64 z z) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 z z) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 y (/.f64 (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 y (/.f64 (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 y (/.f64 (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 y (/.f64 (*.f64 z z) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | ((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) 1/2) x) (* (/ x y) 1/2) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ 1 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y x)) x) y) 1/2) (+ (* (/ 1 (/ y x)) x) y) (/ y (- x z))) |
| 4.0ms | y | @ | -inf | ((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) 1/2) x) (* (/ x y) 1/2) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ 1 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y x)) x) y) 1/2) (+ (* (/ 1 (/ y x)) x) y) (/ y (- x z))) |
| 3.0ms | y | @ | 0 | ((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) 1/2) x) (* (/ x y) 1/2) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ 1 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y x)) x) y) 1/2) (+ (* (/ 1 (/ y x)) x) y) (/ y (- x z))) |
| 3.0ms | x | @ | 0 | ((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) 1/2) x) (* (/ x y) 1/2) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ 1 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y x)) x) y) 1/2) (+ (* (/ 1 (/ y x)) x) y) (/ y (- x z))) |
| 3.0ms | x | @ | inf | ((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) 1/2) x) (* (/ x y) 1/2) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ 1 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y x)) x) y) 1/2) (+ (* (/ 1 (/ y x)) x) y) (/ y (- x z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 368 | 6539 |
| 1 | 1161 | 6241 |
| 2 | 3777 | 5876 |
| 0 | 8850 | 5569 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ (* -1 (/ z y)) (/ x y)) |
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(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2))) |
y |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) |
(/ y (- x z)) |
(/ y (- x z)) |
(/ y (- x z)) |
(/ y (- x z)) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (+ y (* -1 (/ (pow z 2) y)))) |
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y))))) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y))))) |
(+ y (* -1 (/ (pow z 2) y))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y))))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y)))))) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) |
y |
(+ y (/ (pow x 2) y)) |
(+ y (/ (pow x 2) y)) |
(+ y (/ (pow x 2) y)) |
(* -1 (/ y z)) |
(+ (* -1 (/ y z)) (* -1 (/ (* x y) (pow z 2)))) |
(+ (* -1 (/ y z)) (* x (- (* -1 (/ (* x y) (pow z 3))) (/ y (pow z 2))))) |
(+ (* -1 (/ y z)) (* x (- (* x (- (* -1 (/ (* x y) (pow z 4))) (/ y (pow z 3)))) (/ y (pow z 2))))) |
(/ x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y))))))) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y))))))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(/ y x) |
(/ (+ y (/ (* y z) x)) x) |
(/ (- (+ y (/ (* y (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x) |
(/ (- (+ y (/ (* y (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* y (pow z 2)) (pow x 2))))) x) |
(/ x y) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2)))) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (* y z) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y z) (/ (* y (pow z 2)) x)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow z 2))) (* -1 (/ (* y (pow z 3)) x))) x)) (* y z)) x))) x)) |
| Outputs |
|---|
(/.f64 x y) |
(/.f64 (-.f64 x z) y) |
(/.f64 (-.f64 x z) y) |
(/.f64 (-.f64 x z) y) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) x y) |
(fma.f64 (/.f64 x y) x y) |
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) |
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 z (/.f64 z y)) |
(*.f64 z (/.f64 z y)) |
(*.f64 z (/.f64 z y)) |
(*.f64 z (/.f64 z y)) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)) |
y |
(-.f64 y (*.f64 z (/.f64 z y))) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y))) |
(/.f64 y x) |
(*.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) (/.f64 y x)) |
(fma.f64 (*.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) x)) z (/.f64 y x)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z (/.f64 (/.f64 y x) x)) z (/.f64 y x)) |
(/.f64 (neg.f64 z) y) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(*.f64 (-.f64 (fma.f64 (/.f64 x z) (/.f64 (/.f64 x y) z) (/.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(*.f64 (-.f64 (fma.f64 (/.f64 x z) (/.f64 (/.f64 x y) z) (/.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z) |
(*.f64 z (/.f64 z y)) |
(*.f64 z (/.f64 z y)) |
(*.f64 z (/.f64 z y)) |
(*.f64 z (/.f64 z y)) |
(*.f64 z z) |
(*.f64 z z) |
(*.f64 z z) |
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(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (*.f64 z (/.f64 z y))) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (*.f64 z (/.f64 z y))) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (*.f64 z (/.f64 z y))) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (*.f64 z (/.f64 z y))) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (*.f64 z (/.f64 z y))) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (*.f64 z (/.f64 z y))) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (*.f64 z (/.f64 z y))) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (*.f64 z (/.f64 z y))) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (*.f64 z (/.f64 z y))) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (fma.f64 (/.f64 (/.f64 y x) x) x (/.f64 x y))) |
(*.f64 x (fma.f64 (/.f64 (/.f64 y x) x) x (/.f64 x y))) |
(*.f64 x (fma.f64 (/.f64 (/.f64 y x) x) x (/.f64 x y))) |
(/.f64 y x) |
(/.f64 (fma.f64 z (/.f64 y x) y) x) |
(/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 z (/.f64 z x) z)) x) y) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 z y (/.f64 (*.f64 y (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) x))) x)) x) y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 234 |
| 0 | 57 | 226 |
| 1 | 226 | 218 |
| 2 | 1815 | 218 |
| 0 | 8235 | 213 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 x y) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 z z) y) |
(*.f64 z z) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) |
(-.f64 y (/.f64 (*.f64 z z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) |
(/.f64 y (-.f64 x z)) |
| Outputs |
|---|
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Compiled 41 754 to 2 958 computations (92.9% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 223 | 6 | 1 229 |
| Fresh | 5 | 1 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 231 | 11 | 1 242 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 33.1% | (*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) |
| ▶ | 35.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) |
| ✓ | 65.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
| 65.4% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (- x z)) (/.f64 (neg.f64 y) z))) (+.f64 z x) y) #s(literal 1/2 binary64))) | |
| ▶ | 65.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) |
| ✓ | 32.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) |
| ▶ | 35.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) |
| 59.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z z)))) #s(literal 1/2 binary64))) | |
| ▶ | 35.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) |
| ✓ | 35.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
| ✓ | 32.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
Compiled 443 to 306 computations (30.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 384 | (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) | |
| cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (*.f64 (/.f64 z y) z) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (/.f64 z y) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 223 |
| 0 | 54 | 217 |
| 1 | 100 | 217 |
| 2 | 205 | 217 |
| 3 | 441 | 217 |
| 4 | 997 | 217 |
| 5 | 1823 | 209 |
| 6 | 3816 | 209 |
| 0 | 8292 | 203 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(neg.f64 z) |
z |
(/.f64 z y) |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 z y) z) |
(/.f64 z y) |
z |
y |
#s(literal -1/2 binary64) |
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
x |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 y x) |
y |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z y) (neg.f64 z) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z y) (neg.f64 z) y)) |
(fma.f64 (/.f64 z y) (neg.f64 z) y) |
(neg.f64 z) |
z |
(/.f64 z y) |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 z y) z))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 z y) z)) |
(*.f64 (/.f64 z y) z) |
(/.f64 z y) |
z |
y |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x))) |
#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
x |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 y x) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0.09375 | (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) | |
| accuracy | 41.11880158964683 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) | |
| accuracy | 0.4191212085504929 | (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) | |
| accuracy | 41.11880158964683 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) | |
| accuracy | 0 | (/.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 16.09326697091104 | (*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 39.00673018324297 | #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 0 | (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) | |
| accuracy | 0.12890625 | (*.f64 (/.f64 z y) z) | |
| accuracy | 41.56520733811083 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) | |
| accuracy | 0 | (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.05859375 | (fma.f64 (neg.f64 z) (/.f64 z y) y) | |
| accuracy | 21.873685773265148 | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) |
| 139.0ms | 256× | 0 | valid |
Compiled 406 to 73 computations (82% saved)
ival-div: 68.0ms (56.7% of total)ival-mult: 31.0ms (25.8% of total)ival-sub: 8.0ms (6.7% of total)ival-add: 7.0ms (5.8% of total)ival-neg: 4.0ms (3.3% of total)exact: 1.0ms (0.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (/.f64 z y) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 z y) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (/.f64 z y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (/.f64 z y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (/.f64 z y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (/.f64 z y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (/.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | y | @ | inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ z y) z) -1/2) (* (/ z y) z) (/ z y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ 1/2 y) (/ 1/2 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ 1/2 (/ y x)) x) (/ y x) (/ (* 1 (* 1/2 x)) (/ y x)) (* 1 (* 1/2 x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 x)) |
| 3.0ms | y | @ | -inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ z y) z) -1/2) (* (/ z y) z) (/ z y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ 1/2 y) (/ 1/2 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ 1/2 (/ y x)) x) (/ y x) (/ (* 1 (* 1/2 x)) (/ y x)) (* 1 (* 1/2 x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 x)) |
| 3.0ms | y | @ | 0 | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ z y) z) -1/2) (* (/ z y) z) (/ z y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ 1/2 y) (/ 1/2 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ 1/2 (/ y x)) x) (/ y x) (/ (* 1 (* 1/2 x)) (/ y x)) (* 1 (* 1/2 x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 x)) |
| 2.0ms | x | @ | -inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ z y) z) -1/2) (* (/ z y) z) (/ z y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ 1/2 y) (/ 1/2 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ 1/2 (/ y x)) x) (/ y x) (/ (* 1 (* 1/2 x)) (/ y x)) (* 1 (* 1/2 x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 x)) |
| 2.0ms | z | @ | inf | ((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ z y) z) -1/2) (* (/ z y) z) (/ z y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ 1/2 y) (/ 1/2 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ 1/2 (/ y x)) x) (/ y x) (/ (* 1 (* 1/2 x)) (/ y x)) (* 1 (* 1/2 x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 4878 |
| 1 | 590 | 4797 |
| 2 | 1884 | 4661 |
| 3 | 7655 | 4633 |
| 0 | 8252 | 4437 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 1/2 y) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y)) |
y |
(+ y (* -1 (/ (pow z 2) y))) |
(+ y (* -1 (/ (pow z 2) y))) |
(+ y (* -1 (/ (pow z 2) y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (pow x 2) (pow y 2)) |
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2))) |
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2))) |
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y)) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1 (/ (pow z 2) y)) |
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y))) |
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y))) |
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1)) |
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1)) |
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1)) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1 (/ (pow z 2) y)) |
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y))) |
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y))) |
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1)) |
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1)) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* -1/2 (/ (pow z 2) y)) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* -1/2 (/ (pow z 2) y)) |
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y) |
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y) |
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y) |
(* -1 (/ (pow z 2) y)) |
(/ (+ (* -1 (pow z 2)) (pow y 2)) y) |
(/ (+ (* -1 (pow z 2)) (pow y 2)) y) |
(/ (+ (* -1 (pow z 2)) (pow y 2)) y) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) |
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y) |
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y) |
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y) |
(+ (* -1 (pow z 2)) (pow x 2)) |
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2))) |
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2))) |
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2))) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (- (pow x 2) (pow z 2)) y)) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2))))) |
y |
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y)))) |
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2)))))) |
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2)))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 y) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))))) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* 1/2 y) |
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2))) |
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2))) |
y |
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) |
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) |
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(* -1/2 (/ (pow z 2) y)) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ (pow z 2) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2))) |
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2))) |
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)))) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(/ 1/2 y) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 y) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2))) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (/ (* (+ y z) (- y z)) y)) |
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y))) |
(* (+ y z) (- y z)) |
(+ (* (+ y z) (- y z)) (pow x 2)) |
(+ (* (+ y z) (- y z)) (pow x 2)) |
(+ (* (+ y z) (- y z)) (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (/ (- (pow y 2) (pow z 2)) y)) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ x y)) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 (/ (pow x 2) y)) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y)))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64)) |
y |
(fma.f64 (/.f64 (neg.f64 z) y) z y) |
(fma.f64 (/.f64 (neg.f64 z) y) z y) |
(fma.f64 (/.f64 (neg.f64 z) y) z y) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 z z) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z y) |
(/.f64 z y) |
(/.f64 z y) |
(/.f64 z y) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) z) z) y (/.f64 #s(literal -1/2 binary64) y)) z) z) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) z) z) y (/.f64 #s(literal -1/2 binary64) y)) z) z) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) z) z) y (/.f64 #s(literal -1/2 binary64) y)) z) z) |
(*.f64 (/.f64 (neg.f64 z) y) z) |
(*.f64 (fma.f64 (/.f64 y (*.f64 z z)) z (/.f64 (neg.f64 z) y)) z) |
(*.f64 (fma.f64 (/.f64 y (*.f64 z z)) z (/.f64 (neg.f64 z) y)) z) |
(*.f64 (fma.f64 (/.f64 y (*.f64 z z)) z (/.f64 (neg.f64 z) y)) z) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(neg.f64 z) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 z z) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z y) |
(/.f64 z y) |
(/.f64 z y) |
(/.f64 z y) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (neg.f64 z) z) |
(*.f64 (neg.f64 z) z) |
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (fma.f64 (/.f64 y z) (/.f64 y z) #s(literal -1 binary64))) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (fma.f64 (/.f64 y z) (/.f64 y z) #s(literal -1 binary64))) (*.f64 z z)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) z) z) y (/.f64 #s(literal -1/2 binary64) y)) z) z) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) z) z) y (/.f64 #s(literal -1/2 binary64) y)) z) z) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) z) z) y (/.f64 #s(literal -1/2 binary64) y)) z) z) |
(*.f64 (/.f64 (neg.f64 z) y) z) |
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(*.f64 (+.f64 y (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y)) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 y z) (+.f64 z y)) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(/.f64 y x) |
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(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 y (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 x x) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 201 |
| 0 | 54 | 195 |
| 1 | 196 | 195 |
| 2 | 1436 | 195 |
| 0 | 8333 | 189 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(neg.f64 z) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 z y) z) |
(/.f64 z y) |
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(/.f64 y x) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) |
(*.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
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Compiled 29 732 to 1 565 computations (94.7% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 021 | 3 | 1 024 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 025 | 10 | 1 035 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 33.1% | (*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) |
| 35.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) | |
| 35.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))) | |
| ✓ | 65.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
| 59.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) y) y) #s(literal 1/2 binary64))) | |
| ✓ | 65.8% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) |
| ✓ | 32.6% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) |
| ✓ | 35.0% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) |
| ✓ | 35.7% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
| ✓ | 32.1% | #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
Compiled 1 030 to 330 computations (68% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) y) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z z)))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (- x z)) (/.f64 (neg.f64 y) z))) (+.f64 z x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 y))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z y)) (*.f64 y y)) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) z) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))) |
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
6 calls:
| 28.0ms | (*.f64 z z) |
| 16.0ms | z |
| 10.0ms | y |
| 9.0ms | x |
| 8.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 99.9% | 1 | (*.f64 x x) |
| 99.9% | 1 | (*.f64 z z) |
Compiled 24 to 28 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) y) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))) |
6 calls:
| 21.0ms | x |
| 13.0ms | (*.f64 z z) |
| 6.0ms | z |
| 5.0ms | y |
| 5.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 2 | x |
| 91.3% | 2 | y |
| 88.1% | 2 | z |
| 96.4% | 3 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 87.9% | 2 | (*.f64 x x) |
| 88.1% | 2 | (*.f64 z z) |
Compiled 24 to 28 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
1 calls:
| 4.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.0% | 2 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 15 to 11 computations (26.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) |
1 calls:
| 3.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 2 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 15 to 11 computations (26.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
6 calls:
| 38.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 3.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.3% | 4 | x |
| 55.0% | 2 | (*.f64 x x) |
| 58.0% | 3 | z |
| 57.7% | 3 | (*.f64 z z) |
| 62.2% | 4 | y |
| 70.0% | 3 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 24 to 28 computations (-16.7% saved)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
6 calls:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 2.0ms | x |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 2 | (*.f64 x x) |
| 38.4% | 2 | (*.f64 z z) |
| 38.7% | 2 | z |
| 53.9% | 2 | x |
| 54.4% | 2 | y |
| 42.1% | 2 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
Compiled 24 to 28 computations (-16.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
6 calls:
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 1.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.1% | 1 | (*.f64 z z) |
| 32.1% | 1 | z |
| 32.1% | 1 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) |
| 32.1% | 1 | (*.f64 x x) |
| 32.1% | 1 | x |
| 32.1% | 1 | y |
Compiled 24 to 28 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -6.872766040508842e-23 | 1.9342484912123104e-159 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -6.872766040508842e-23 | 1.9342484912123104e-159 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -6.872766040508842e-23 | 1.9342484912123104e-159 |
Compiled 18 to 17 computations (5.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.964334693925719e+147 | 1.2771091183677943e+156 |
| 0.0ms | -6.872766040508842e-23 | 1.9342484912123104e-159 |
Compiled 18 to 17 computations (5.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 6.3684927827430784e+137 | 2.4715914114250708e+138 |
| 5.0ms | 80× | 0 | valid |
Compiled 228 to 177 computations (22.4% saved)
ival-mult: 2.0ms (62.1% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 438 |
| 1 | 83 | 438 |
| 2 | 90 | 438 |
| 3 | 93 | 438 |
| 4 | 94 | 438 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)))) |
(if (<=.f64 y #s(literal 1320000000000000010298064046238072476667091185956135446656019574447485084873960390397792174813032893483352824329541372584255406385991254016 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y))))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal 5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)))) |
(if (<=.f64 y #s(literal 1320000000000000010298064046238072476667091185956135446656019574447485084873960390397792174813032893483352824329541372584255406385991254016 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))) |
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 234 |
| 0 | 57 | 226 |
| 1 | 226 | 218 |
| 2 | 1815 | 218 |
| 0 | 8235 | 213 |
| 0 | 72 | 1242 |
| 1 | 198 | 1242 |
| 2 | 568 | 1240 |
| 3 | 2184 | 1100 |
| 4 | 6023 | 1076 |
| 0 | 8140 | 990 |
| 0 | 813 | 8667 |
| 1 | 2603 | 8172 |
| 0 | 8762 | 7723 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 554 to 173 computations (68.8% saved)
(negabs y)
(abs x)
(abs z)
Compiled 1 272 to 384 computations (69.8% saved)
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