
Time bar (total: 9.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 6 |
| 31.3% | 31.2% | 68.6% | 0.2% | 0% | 0% | 0% | 7 |
| 40.6% | 40.5% | 59.3% | 0.2% | 0% | 0% | 0% | 8 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 9 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 10 |
| 54.7% | 54.6% | 45.2% | 0.2% | 0% | 0% | 0% | 11 |
| 62.5% | 62.4% | 37.4% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 19 to 15 computations (21.1% saved)
| 1.2s | 8 256× | 0 | valid |
ival-mult: 575.0ms (65.1% of total)ival-div: 184.0ms (20.8% of total)ival-sub: 109.0ms (12.3% of total)ival-true: 7.0ms (0.8% of total)exact: 5.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 77 | 0 | - | 3 | (3.3261363190373544e-213 2.2115581757338578e-277 -5.76360911880444e-43 -2.1056800411233643e+120) | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 3 | 0 | - | 0 | - | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) |
| 0 | 0 | - | 0 | - | (*.f64 y t) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 y #s(literal 2 binary64)) z) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 z #s(literal 2 binary64)) z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | o/o | 11 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | overflow | 27 | |
| ↳ | (*.f64 y t) | overflow | 28 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | overflow | 79 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | overflow | 59 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | o/n | 6 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | overflow | 27 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | u/u | 5 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | underflow | 36 | |
| ↳ | (*.f64 y t) | underflow | 28 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | underflow | 6 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | underflow | 76 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | u/n | 4 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | underflow | 36 | |
-.f64 | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | nan-rescue | 3 | 0 |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | overflow | 59 | |
| ↳ | (*.f64 y t) | overflow | 28 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | n/o | 3 | 0 |
| ↳ | (*.f64 y t) | overflow | 28 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | overflow | 79 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | overflow | 59 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 30 | 12 |
| - | 0 | 214 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 30 | 0 | 12 |
| - | 0 | 0 | 214 |
| number | freq |
|---|---|
| 0 | 226 |
| 1 | 28 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 50.0ms | 512× | 0 | valid |
Compiled 216 to 56 computations (74.1% saved)
ival-mult: 15.0ms (55.4% of total)ival-div: 6.0ms (22.2% of total)ival-sub: 5.0ms (18.5% of total)ival-true: 1.0ms (3.7% 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 | 70 | 250 |
| 1 | 218 | 244 |
| 2 | 601 | 238 |
| 3 | 1943 | 238 |
| 4 | 4398 | 238 |
| 5 | 6221 | 238 |
| 6 | 7521 | 238 |
| 7 | 7782 | 238 |
| 8 | 7835 | 238 |
| 9 | 7870 | 238 |
| 0 | 13 | 17 |
| 0 | 21 | 17 |
| 1 | 38 | 17 |
| 2 | 80 | 17 |
| 3 | 195 | 17 |
| 4 | 391 | 17 |
| 5 | 687 | 17 |
| 6 | 1540 | 17 |
| 7 | 2286 | 17 |
| 8 | 2461 | 17 |
| 9 | 2515 | 17 |
| 10 | 2538 | 17 |
| 11 | 2540 | 17 |
| 12 | 2549 | 17 |
| 13 | 2561 | 17 |
| 14 | 2580 | 17 |
| 15 | 2580 | 17 |
| 0 | 2580 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| Outputs |
|---|
(fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #s(literal 2 binary64) x) |
Compiled 17 to 13 computations (23.5% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.1% | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | |
| cost-diff | 128 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | |
| cost-diff | 128 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 65 |
| 0 | 21 | 65 |
| 1 | 38 | 65 |
| 2 | 80 | 65 |
| 3 | 195 | 65 |
| 4 | 391 | 65 |
| 5 | 687 | 65 |
| 6 | 1540 | 65 |
| 7 | 2286 | 65 |
| 8 | 2461 | 65 |
| 9 | 2515 | 65 |
| 10 | 2538 | 65 |
| 11 | 2540 | 65 |
| 12 | 2549 | 65 |
| 13 | 2561 | 65 |
| 14 | 2580 | 65 |
| 15 | 2580 | 65 |
| 0 | 2580 | 62 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
x |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
z |
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) |
(*.f64 (*.f64 z #s(literal 2 binary64)) z) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 y t) |
t |
| Outputs |
|---|
(fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #s(literal 2 binary64) x) |
x |
(*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (*.f64 #s(literal -2 binary64) z)) |
(*.f64 z (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
z |
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(*.f64 (*.f64 z #s(literal 2 binary64)) z) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 t y) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) | |
| accuracy | 0.5976562500000001 | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | |
| accuracy | 17.861490154101684 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 26.0ms | 256× | 0 | valid |
Compiled 132 to 28 computations (78.8% saved)
ival-mult: 12.0ms (74.9% of total)ival-div: 2.0ms (12.5% of total)ival-sub: 2.0ms (12.5% 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 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 y #s(literal 2 binary64)) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | y | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t))) |
| 3.0ms | y | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t))) |
| 2.0ms | z | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t))) |
| 2.0ms | y | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t))) |
| 2.0ms | z | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 347 | 2170 |
| 1 | 1030 | 2124 |
| 2 | 3147 | 2097 |
| 0 | 8645 | 1977 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(/ y z) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(* 2 (pow z 2)) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* -2 (/ z t)) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) |
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) |
(* -1 (* t y)) |
(* t (- (* 2 (/ (pow z 2) t)) y)) |
(* t (- (* 2 (/ (pow z 2) t)) y)) |
(* t (- (* 2 (/ (pow z 2) t)) y)) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(* -2 (/ z t)) |
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t)) |
(* -1 (* t y)) |
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) |
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) |
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* -2 (/ z t)) |
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* -1 (* t y)) |
(- (* 2 (pow z 2)) (* t y)) |
(- (* 2 (pow z 2)) (* t y)) |
(- (* 2 (pow z 2)) (* t y)) |
x |
(+ x (* -1 (/ y z))) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(/ y z) |
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z) |
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(/ y z) |
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(/ y z) |
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z))) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 (pow z 2)) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* -1 (* t y)) |
(* y (- (* 2 (/ (pow z 2) y)) t)) |
(* y (- (* 2 (/ (pow z 2) y)) t)) |
(* y (- (* 2 (/ (pow z 2) y)) t)) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* -1 (* t y)) |
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) |
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) |
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
| Outputs |
|---|
(-.f64 x (/.f64 y z)) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 y z))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(/.f64 y z) |
(*.f64 (fma.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) z)) y) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))) t (/.f64 y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 t (pow.f64 z #s(literal 7 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 z #s(literal 5 binary64))))) t (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 3 binary64))))) t (/.f64 y z)) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
x |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t)) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 t t) y) y)) (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z))) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -16 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 t t) y) y)) (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)))) t) |
(*.f64 (neg.f64 t) y) |
(*.f64 (-.f64 (*.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64)) y) t) |
(*.f64 (-.f64 (*.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64)) y) t) |
(*.f64 (-.f64 (*.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64)) y) t) |
x |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t)) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t) |
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t) |
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) t) (*.f64 (/.f64 #s(literal 8 binary64) y) (/.f64 (pow.f64 z #s(literal 5 binary64)) y))) (neg.f64 t))) t)) t) |
(*.f64 (neg.f64 t) y) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y)) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y)) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y)) |
x |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(fma.f64 (fma.f64 (*.f64 (/.f64 z (pow.f64 t #s(literal 3 binary64))) (/.f64 z (*.f64 y y))) #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 t t) y))) (pow.f64 z #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t) |
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(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
(*.f64 (neg.f64 t) y) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
x |
(-.f64 x (/.f64 y z)) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 y z))) |
(-.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (*.f64 t (/.f64 t (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 t (pow.f64 z #s(literal 3 binary64))) x)) (/.f64 y z)) |
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(*.f64 (fma.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) z)) y) |
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(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 t (*.f64 y (/.f64 y z))) (fma.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 6 binary64))) y))) z) |
(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
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(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 t) z) (/.f64 y z) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 t) z) (/.f64 y z) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 t) z) (/.f64 y z) #s(literal 2 binary64)) (*.f64 z z)) |
x |
(-.f64 x (/.f64 y z)) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 t (*.f64 y (/.f64 y z))) (fma.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) t) t) (/.f64 #s(literal 1/4 binary64) (pow.f64 z #s(literal 4 binary64))) y)) z)) |
(/.f64 y z) |
(*.f64 (fma.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) z)) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) t) t) (/.f64 #s(literal -1/4 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 t (*.f64 z z)) (neg.f64 y))) (neg.f64 z)) |
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(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
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(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 t) z) (/.f64 y z) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 t) z) (/.f64 y z) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 t) z) (/.f64 y z) #s(literal 2 binary64)) (*.f64 z z)) |
x |
(-.f64 x (/.f64 y z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 t t)) (/.f64 y (pow.f64 z #s(literal 5 binary64))) (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) y (/.f64 #s(literal -1 binary64) z)) y x) |
(/.f64 y z) |
(*.f64 (fma.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) z)) y) |
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(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 7 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) t) (/.f64 t (pow.f64 z #s(literal 5 binary64))))) y (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64))) (*.f64 y y) (/.f64 y z)) |
(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
(*.f64 (*.f64 z y) #s(literal 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 (*.f64 z z) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
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(*.f64 #s(literal 2 binary64) y) |
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(*.f64 (neg.f64 t) y) |
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(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
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(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
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(*.f64 (*.f64 z y) #s(literal 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 (neg.f64 t) y) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64) t) (neg.f64 y)) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64) t) (neg.f64 y)) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64) t) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) x) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) x) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) x) |
x |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
x |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 0 | 21 | 49 |
| 1 | 71 | 49 |
| 2 | 541 | 49 |
| 3 | 7465 | 49 |
| 0 | 8831 | 46 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 y #s(literal 2 binary64)) |
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) |
| Outputs |
|---|
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Compiled 20 472 to 1 573 computations (92.3% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 543 | 5 | 548 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 544 | 5 | 549 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.6% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))) |
| ▶ | 60.5% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| ▶ | 64.7% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) |
| ▶ | 64.6% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
| ▶ | 21.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
Compiled 264 to 188 computations (28.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t) | |
| cost-diff | 0 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))) | |
| cost-diff | 6144 | (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) | |
| cost-diff | 0 | (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) t) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) (/.f64 z t)) | |
| cost-diff | 0 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 326 |
| 0 | 62 | 326 |
| 1 | 110 | 326 |
| 2 | 193 | 326 |
| 3 | 379 | 324 |
| 4 | 694 | 324 |
| 5 | 1291 | 318 |
| 6 | 2926 | 318 |
| 7 | 4114 | 318 |
| 8 | 5481 | 318 |
| 9 | 5997 | 318 |
| 10 | 6507 | 318 |
| 11 | 6804 | 318 |
| 12 | 7003 | 318 |
| 13 | 7563 | 318 |
| 14 | 7744 | 318 |
| 15 | 7780 | 318 |
| 16 | 7808 | 318 |
| 17 | 7828 | 318 |
| 18 | 7840 | 318 |
| 19 | 7858 | 318 |
| 20 | 7912 | 318 |
| 21 | 7912 | 318 |
| 22 | 7953 | 318 |
| 0 | 8040 | 316 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
#s(literal -2 binary64) |
(/.f64 z t) |
z |
t |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(/.f64 #s(literal 2 binary64) t) |
#s(literal 2 binary64) |
t |
z |
x |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) |
z |
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) |
(*.f64 #s(literal -2 binary64) z) |
#s(literal -2 binary64) |
(*.f64 t y) |
t |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t) |
(fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 #s(literal -4 binary64) t) |
#s(literal -4 binary64) |
t |
(/.f64 (pow.f64 z #s(literal 3 binary64)) y) |
(pow.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
y |
(*.f64 #s(literal -2 binary64) z) |
#s(literal -2 binary64) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64)))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64))) |
(*.f64 (/.f64 z t) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 z t) |
z |
t |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(/.f64 #s(literal 2 binary64) t) |
#s(literal 2 binary64) |
t |
z |
x |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) |
z |
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) |
(*.f64 #s(literal -2 binary64) z) |
#s(literal -2 binary64) |
(*.f64 t y) |
t |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 z t) z) (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) t) z))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 z t) z) (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) t) z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 z t) z) (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) t) z) |
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) z) |
(/.f64 #s(literal -4 binary64) t) |
#s(literal -4 binary64) |
t |
(/.f64 (pow.f64 z #s(literal 3 binary64)) y) |
(pow.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
y |
(*.f64 #s(literal -2 binary64) z) |
#s(literal -2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.6906120361143158 | (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t) | |
| accuracy | 3.4935448262762163 | (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) | |
| accuracy | 5.884952667438516 | (/.f64 (pow.f64 z #s(literal 3 binary64)) y) | |
| accuracy | 29.438920427493578 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) | |
| accuracy | 0.7499917428166807 | (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) | |
| accuracy | 5.747638886433967 | (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) | |
| accuracy | 15.350272849853011 | (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) | |
| accuracy | 44.42438741781761 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) t) | |
| accuracy | 0.12109375 | (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) | |
| accuracy | 22.60161812163784 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0.0078125 | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) | |
| accuracy | 33.72919434045912 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0.0078125 | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) | |
| accuracy | 0.0078125 | (*.f64 #s(literal -2 binary64) (/.f64 z t)) | |
| accuracy | 29.200490463499904 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) |
| 85.0ms | 256× | 0 | valid |
Compiled 588 to 78 computations (86.7% saved)
ival-mult: 31.0ms (55.8% of total)ival-div: 13.0ms (23.4% of total)ival-pow: 5.0ms (9% of total)ival-add: 3.0ms (5.4% of total)ival-sub: 2.0ms (3.6% 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 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) (/.f64 z t)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 z t) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | t | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (* -2 z) z) (* t y)) (/ (pow z 3) y)) |
| 22.0ms | z | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (* -2 z) z) (* t y)) (/ (pow z 3) y)) |
| 5.0ms | y | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (* -2 z) z) (* t y)) (/ (pow z 3) y)) |
| 5.0ms | z | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (* -2 z) z) (* t y)) (/ (pow z 3) y)) |
| 4.0ms | z | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (* -2 z) z) (* t y)) (/ (pow z 3) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 644 | 10362 |
| 1 | 1986 | 10185 |
| 2 | 6192 | 10106 |
| 0 | 8280 | 9535 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(/ y z) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(* -2 (/ z t)) |
(* -2 (/ z t)) |
(* -2 (/ z t)) |
(* -2 (/ z t)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(/ y z) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(* 2 (/ z t)) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(/ 2 t) |
(/ 2 t) |
(/ 2 t) |
(/ 2 t) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(* -1 (/ y z)) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))) |
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))) |
(/ -1/2 z) |
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z))) |
(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z))) |
(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z))) |
(* -4 (/ (pow z 3) (* t y))) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(/ y z) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(* -4 (/ (pow z 3) (* (pow t 2) y))) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2)) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2)) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2)) |
(* -2 (pow z 2)) |
(+ (* -2 (pow z 2)) (* t y)) |
(+ (* -2 (pow z 2)) (* t y)) |
(+ (* -2 (pow z 2)) (* t y)) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* -2 (/ z t)) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) |
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) |
(* -2 (/ z t)) |
(* -2 (/ z t)) |
(* -2 (/ z t)) |
(* -2 (/ z t)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* -2 (/ z t)) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) |
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(/ 2 t) |
(/ 2 t) |
(/ 2 t) |
(/ 2 t) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* 2 (/ z t)) |
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t) |
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t) |
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 3))))))) t) |
(/ z (* t y)) |
(/ (+ (* 2 (/ (pow z 3) (* t (pow y 2)))) (/ z y)) t) |
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (/ z y)) (* -2 (/ (pow z 3) (* t (pow y 2))))) t) |
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 3) (pow y 4)))) (/ z y)) (+ (* -4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* -2 (/ (pow z 3) (* t (pow y 2)))))) t) |
(* -2 z) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* -2 (/ z t)) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) |
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) |
(* -2 (/ z t)) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(* t y) |
(* t (+ y (* -2 (/ (pow z 2) t)))) |
(* t (+ y (* -2 (/ (pow z 2) t)))) |
(* t (+ y (* -2 (/ (pow z 2) t)))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(* -2 (/ z t)) |
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)) |
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(* 2 y) |
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(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z))) |
(* -4 (/ (pow z 3) (* (pow t 2) y))) |
(/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -2 (/ (* y z) t))) y) |
(/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -2 (/ (* y z) t))) y) |
(/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -2 (/ (* y z) t))) y) |
(* -2 (pow z 2)) |
(+ (* -2 (pow z 2)) (* t y)) |
(+ (* -2 (pow z 2)) (* t y)) |
(+ (* -2 (pow z 2)) (* t y)) |
(/ (pow z 3) y) |
(/ (pow z 3) y) |
(/ (pow z 3) y) |
(/ (pow z 3) y) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* 2 (/ z t)) |
(+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))) |
(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))) |
(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(/ z (* t y)) |
(/ (+ (* 2 (/ (pow z 3) (* (pow t 2) y))) (/ z t)) y) |
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (/ z t)) (* -2 (/ (pow z 3) (* (pow t 2) y)))) y) |
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (/ z t)) (+ (* -4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 3) (* (pow t 2) y))))) y) |
(* -2 z) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(* t y) |
(* y (+ t (* -2 (/ (pow z 2) y)))) |
(* y (+ t (* -2 (/ (pow z 2) y)))) |
(* y (+ t (* -2 (/ (pow z 2) y)))) |
(/ (pow z 3) y) |
(/ (pow z 3) y) |
(/ (pow z 3) y) |
(/ (pow z 3) y) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* 2 (/ z t)) |
(+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))) |
(+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))) |
(+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(/ z (* t y)) |
(* -1 (/ (+ (* -2 (/ (pow z 3) (* (pow t 2) y))) (* -1 (/ z t))) y)) |
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* 4 (/ (pow z 5) (* (pow t 3) y))) (* -2 (/ (pow z 3) (pow t 2)))) y))) y)) |
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* (pow t 4) y))) (* 4 (/ (pow z 5) (pow t 3)))) y)) (* -2 (/ (pow z 3) (pow t 2)))) y))) y)) |
(* -2 z) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(* t y) |
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y))))) |
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y))))) |
(/ (pow z 3) y) |
(/ (pow z 3) y) |
(/ (pow z 3) y) |
(/ (pow z 3) y) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* 2 (/ z t)) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
| Outputs |
|---|
(-.f64 x (/.f64 y z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (-.f64 x (/.f64 y z))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(/.f64 y z) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (/.f64 y z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(*.f64 (/.f64 z t) #s(literal -2 binary64)) |
(*.f64 (/.f64 z t) #s(literal -2 binary64)) |
(*.f64 (/.f64 z t) #s(literal -2 binary64)) |
(*.f64 (/.f64 z t) #s(literal -2 binary64)) |
(/.f64 z t) |
(/.f64 z t) |
(/.f64 z t) |
(/.f64 z t) |
(-.f64 x (/.f64 y z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (-.f64 x (/.f64 y z))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(/.f64 y z) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (/.f64 y z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(-.f64 x (/.f64 y z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (-.f64 x (/.f64 y z))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) t) |
(/.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) t) |
(/.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) t) |
(/.f64 #s(literal 2 binary64) t) |
(/.f64 #s(literal 2 binary64) t) |
(/.f64 #s(literal 2 binary64) t) |
(/.f64 #s(literal 2 binary64) t) |
(-.f64 x (/.f64 y z)) |
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(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) y) (*.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) t) #s(literal 4 binary64))) y) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 z #s(literal 2 binary64))) t) |
(fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) y) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 z #s(literal 2 binary64))) t)) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) y) (*.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) t) #s(literal 4 binary64))) y)) |
(*.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 (/.f64 z y) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 (neg.f64 z) y)) (neg.f64 t)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (*.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) t) #s(literal 2 binary64))) y) (/.f64 z t)) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) t) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 y))) y) (/.f64 z t)) y) |
(*.f64 #s(literal -2 binary64) z) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t)) |
(fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) y) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t))) |
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) y) (*.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) t) #s(literal 4 binary64))) y) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(*.f64 (/.f64 z t) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t) |
(fma.f64 (/.f64 #s(literal -2 binary64) t) z (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 (/.f64 #s(literal 8 binary64) y) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 y))) |
(fma.f64 (/.f64 #s(literal -2 binary64) t) z (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 (fma.f64 (/.f64 #s(literal -16 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 y))) (neg.f64 y))) |
(*.f64 (/.f64 z t) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t) |
(*.f64 t y) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -2 binary64) t) y) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -2 binary64) t) y) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal -2 binary64) t) y) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) y) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) y) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) y) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) y) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
x |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x) |
x |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x) |
x |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x) |
x |
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x) |
x |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x) |
x |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x) |
x |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
x |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
x |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
x |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64))) |
x |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
x |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 288 |
| 0 | 62 | 288 |
| 1 | 260 | 288 |
| 2 | 1865 | 288 |
| 0 | 8828 | 286 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
(/.f64 z t) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) |
(/.f64 y z) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(/.f64 #s(literal 2 binary64) t) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) |
(*.f64 #s(literal 2 binary64) y) |
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) |
(fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))) |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t) |
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) y) |
| Outputs |
|---|
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Compiled 48 516 to 2 567 computations (94.7% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 093 | 5 | 1 098 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 095 | 8 | 1 103 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.9% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) |
| ✓ | 60.5% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| ▶ | 60.4% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
| ✓ | 64.6% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
| ✓ | 21.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
| ▶ | 18.2% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
| ▶ | 12.8% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))) |
| ▶ | 14.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
Compiled 451 to 306 computations (32.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t) | |
| cost-diff | 0 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) | |
| cost-diff | 0 | #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))) | |
| cost-diff | 128 | (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (*.f64 (/.f64 z t) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (/.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 495 |
| 0 | 84 | 497 |
| 1 | 162 | 497 |
| 2 | 311 | 485 |
| 3 | 653 | 485 |
| 4 | 1501 | 485 |
| 5 | 3101 | 485 |
| 6 | 6263 | 485 |
| 0 | 8070 | 466 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
#s(literal 1 binary64) |
(/.f64 z y) |
z |
y |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) |
(/.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 z t) |
z |
t |
#s(literal 2 binary64) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) |
(*.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
(*.f64 y (/.f64 (/.f64 y z) z)) |
y |
(/.f64 (/.f64 y z) z) |
(/.f64 y z) |
z |
(neg.f64 z) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) |
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t) |
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) |
(*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z) |
(fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) |
(/.f64 (*.f64 z (/.f64 z t)) y) |
(*.f64 z (/.f64 z t)) |
z |
(/.f64 z t) |
t |
y |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) |
(/.f64 y z) |
#s(literal 1 binary64) |
(/.f64 z y) |
z |
y |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) |
(/.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/.f64 z t) |
z |
t |
#s(literal 2 binary64) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal -1 binary64)) z) y))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal -1 binary64)) z) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal -1 binary64)) z) y) |
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) y) (*.f64 #s(literal 1/2 binary64) t) y) |
(*.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
(*.f64 (/.f64 (/.f64 y z) z) y) |
y |
(/.f64 (/.f64 y z) z) |
(/.f64 y z) |
z |
(neg.f64 z) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) |
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t) |
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z) |
(fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 z t) z) y) |
(*.f64 (/.f64 z t) z) |
z |
(/.f64 z t) |
t |
y |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (*.f64 z (/.f64 z t)) | |
| accuracy | 1.6906120361143158 | (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t) | |
| accuracy | 7.954971690343686 | (/.f64 (*.f64 z (/.f64 z t)) y) | |
| accuracy | 29.438920427493578 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) | |
| accuracy | 3.967626323767575 | (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) | |
| accuracy | 4.080733561149036 | (*.f64 y (/.f64 (/.f64 y z) z)) | |
| accuracy | 34.13880281518361 | #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))) | |
| accuracy | 44.42438741781761 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 z t) #s(literal 2 binary64)) | |
| accuracy | 22.60161812163784 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) | |
| accuracy | 30.507071016940433 | #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) | |
| accuracy | 0 | (/.f64 (neg.f64 y) z) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 33.72919434045912 | #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) | |
| accuracy | 44.42438741781761 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 0.0078125 | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) | |
| accuracy | 0.29052981878405726 | (/.f64 #s(literal 1 binary64) (/.f64 z y)) | |
| accuracy | 33.72919434045912 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) |
| 95.0ms | 256× | 0 | valid |
Compiled 806 to 120 computations (85.1% saved)
ival-mult: 29.0ms (39.5% of total)ival-div: 27.0ms (36.8% of total)ival-pow: 6.0ms (8.2% of total)ival-add: 5.0ms (6.8% of total)ival-neg: 4.0ms (5.4% of total)ival-sub: 2.0ms (2.7% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 z t) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 z t) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y (/.f64 (/.f64 y z) z)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 z (/.f64 z t)) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 z (/.f64 z t)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (*.f64 (/.f64 z t) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (*.f64 (/.f64 z t) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (*.f64 (/.f64 z t) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (*.f64 (/.f64 z t) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | t | @ | 0 | ((/ 1 (/ z y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ z y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* y (/ (/ y z) z)) (/ (* z (/ z t)) y) (* z (/ z t))) |
| 8.0ms | y | @ | inf | ((/ 1 (/ z y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ z y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* y (/ (/ y z) z)) (/ (* z (/ z t)) y) (* z (/ z t))) |
| 4.0ms | z | @ | inf | ((/ 1 (/ z y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ z y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* y (/ (/ y z) z)) (/ (* z (/ z t)) y) (* z (/ z t))) |
| 4.0ms | z | @ | 0 | ((/ 1 (/ z y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ z y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* y (/ (/ y z) z)) (/ (* z (/ z t)) y) (* z (/ z t))) |
| 4.0ms | z | @ | -inf | ((/ 1 (/ z y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ z y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* y (/ (/ y z) z)) (/ (* z (/ z t)) y) (* z (/ z t))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 491 | 10691 |
| 1 | 1463 | 10510 |
| 2 | 4559 | 10424 |
| 0 | 8253 | 9845 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(/ y z) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(* -1 (/ y z)) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))) |
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(* 2 (/ z t)) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(* -1 (/ y z)) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(* -1 (/ y z)) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))) |
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))) |
y |
(+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(/ y z) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(* -4 (/ (pow z 3) (* (pow t 2) y))) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2)) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2)) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2)) |
(* -4 (/ (pow z 3) (* t y))) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) t) |
(/ (pow z 2) t) |
(/ (pow z 2) t) |
(/ (pow z 2) t) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* -2 (/ z t)) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) |
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* 2 (/ z t)) |
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t) |
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t) |
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 3))))))) t) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3))))) |
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3))))) |
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3))))) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* 2 (/ z t)) |
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t) |
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(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(/ y z) |
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(* -1 (/ y z)) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))) |
(* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* y (+ (* -1/4 (/ (pow t 2) (pow z 5))) (* -1/8 (/ (* (pow t 3) y) (pow z 7))))))) (/ 1 z))) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(* -1 (/ y z)) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(* -1 (/ y z)) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))) |
(* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* y (+ (* -1/4 (/ (pow t 2) (pow z 5))) (* -1/8 (/ (* (pow t 3) y) (pow z 7))))))) (/ 1 z))) |
y |
(* y (+ 1 (* 1/2 (/ (* t y) (pow z 2))))) |
(* y (+ 1 (* 1/2 (/ (* t y) (pow z 2))))) |
(* y (+ 1 (* 1/2 (/ (* t y) (pow z 2))))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(/ y z) |
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z))) |
(* -4 (/ (pow z 3) (* (pow t 2) y))) |
(/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -2 (/ (* y z) t))) y) |
(/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -2 (/ (* y z) t))) y) |
(/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -2 (/ (* y z) t))) y) |
(* -4 (/ (pow z 3) (* t y))) |
(/ (+ (* -4 (/ (pow z 3) t)) (* -2 (* y z))) y) |
(/ (+ (* -4 (/ (pow z 3) t)) (* -2 (* y z))) y) |
(/ (+ (* -4 (/ (pow z 3) t)) (* -2 (* y z))) y) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* 2 (/ z t)) |
(+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))) |
(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))) |
(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
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(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* 2 (/ z t)) |
(+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))) |
(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))) |
(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))) |
(* 1/2 (/ (* t (pow y 2)) (pow z 2))) |
(* (pow y 2) (+ (* 1/2 (/ t (pow z 2))) (/ 1 y))) |
(* (pow y 2) (+ (* 1/2 (/ t (pow z 2))) (/ 1 y))) |
(* (pow y 2) (+ (* 1/2 (/ t (pow z 2))) (/ 1 y))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(* -2 z) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* 2 (/ z t)) |
(+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))) |
(+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))) |
(+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* 2 (/ z t)) |
(+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))) |
(+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))) |
(+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))) |
(* 1/2 (/ (* t (pow y 2)) (pow z 2))) |
(* (pow y 2) (+ (* 1/2 (/ t (pow z 2))) (/ 1 y))) |
(* (pow y 2) (+ (* 1/2 (/ t (pow z 2))) (/ 1 y))) |
(* (pow y 2) (+ (* 1/2 (/ t (pow z 2))) (/ 1 y))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(* -2 z) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* 2 (/ z t)) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
| Outputs |
|---|
(-.f64 x (/.f64 y z)) |
(fma.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(/.f64 y z) |
(*.f64 (fma.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) z)) y) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
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(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x) |
x |
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x) |
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x) |
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x) |
x |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x) |
x |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 438 |
| 0 | 84 | 432 |
| 1 | 356 | 432 |
| 2 | 2532 | 422 |
| 0 | 8248 | 412 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) |
(/.f64 z y) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) |
(/.f64 (neg.f64 y) z) |
(neg.f64 y) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 z t) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) |
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t) |
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) |
(*.f64 y (/.f64 (/.f64 y z) z)) |
(/.f64 (*.f64 z (/.f64 z t)) y) |
(*.f64 z (/.f64 z t)) |
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Compiled 55 615 to 2 682 computations (95.2% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 194 | 8 | 1 202 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 196 | 14 | 1 210 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 14.5% | (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)))) |
| ✓ | 55.9% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) |
| ▶ | 54.0% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) |
| ✓ | 60.5% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| 20.7% | (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) #s(literal -1 binary64))) | |
| ✓ | 64.6% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
| ✓ | 21.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
| ▶ | 18.2% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))) |
| 18.1% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) | |
| ✓ | 12.8% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))) |
| ✓ | 14.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
| ▶ | 8.6% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z)))) |
| 14.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(literal -1 binary64) (/.f64 z y)))) | |
| ▶ | 14.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y))) |
Compiled 1 866 to 640 computations (65.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) | |
| cost-diff | 19776 | (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) | |
| cost-diff | 39552 | (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z))) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z)))) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) z) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) z) t) | |
| cost-diff | 0 | #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y)) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y))) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) z) y) | |
| cost-diff | 0 | #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t) | |
| cost-diff | 0 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 1960 |
| 0 | 124 | 1960 |
| 1 | 246 | 1767 |
| 2 | 569 | 1553 |
| 3 | 1623 | 1551 |
| 4 | 5006 | 1546 |
| 0 | 8251 | 1525 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) |
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t) |
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z) |
(fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) |
(/.f64 (*.f64 z z) (*.f64 t y)) |
(*.f64 z z) |
z |
(*.f64 t y) |
t |
y |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) y) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
y |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))) |
#s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)) |
(/.f64 (*.f64 #s(literal 2 binary64) z) t) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
t |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z)))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z))) |
(/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z)) |
#s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) |
(/.f64 #s(literal 1/2 binary64) z) |
#s(literal 1/2 binary64) |
z |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
(/.f64 y t) |
t |
(neg.f64 z) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)))) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) |
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t) |
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z) |
(fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 z t) z) y) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
t |
y |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
(+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) |
(*.f64 x x) |
(*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))) |
(pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) |
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t) |
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z)) |
(fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) t) (*.f64 z z) #s(literal -2 binary64)) |
(*.f64 (/.f64 (/.f64 z y) t) z) |
(*.f64 z z) |
z |
(*.f64 t y) |
t |
y |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) |
(/.f64 (neg.f64 y) z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
y |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(*.f64 z #s(literal 2 binary64)) |
#s(literal 2 binary64) |
z |
t |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) y) (*.f64 #s(literal 1/2 binary64) t) y)) (neg.f64 z)))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) y) (*.f64 #s(literal 1/2 binary64) t) y)) (neg.f64 z))) |
(/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) y) (*.f64 #s(literal 1/2 binary64) t) y)) (neg.f64 z)) |
#s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) y) (*.f64 #s(literal 1/2 binary64) t) y)) |
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) y) (*.f64 #s(literal 1/2 binary64) t) y) |
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) y) #s(literal 1/2 binary64) (/.f64 y t)) |
(/.f64 #s(literal 1/2 binary64) z) |
#s(literal 1/2 binary64) |
z |
(*.f64 (/.f64 y z) y) |
(*.f64 y y) |
y |
(/.f64 y t) |
t |
(neg.f64 z) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) (*.f64 x x))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) (*.f64 x x))) |
(*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) (*.f64 x x)) |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) |
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t) |
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z)) |
(fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) t) (*.f64 z z) #s(literal -2 binary64)) |
(*.f64 (/.f64 (/.f64 z y) t) z) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
t |
y |
#s(literal -4 binary64) |
#s(literal -2 binary64) |
(+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x) |
(*.f64 x x) |
(*.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) (*.f64 x x))) |
(pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) (*.f64 x x)) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) (*.f64 x x))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.954971690343686 | (/.f64 (*.f64 (/.f64 z t) z) y) | |
| accuracy | 13.22296982796692 | (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))) | |
| accuracy | 29.438920427493578 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) | |
| accuracy | 45.87332052173724 | (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)))) | |
| accuracy | 8.453202069881037 | (/.f64 (*.f64 y y) z) | |
| accuracy | 10.018640771513942 | (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t) | |
| accuracy | 34.13880281518361 | #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z))) | |
| accuracy | 44.42438741781761 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z)))) | |
| accuracy | 0 | (/.f64 (*.f64 #s(literal 2 binary64) z) t) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) z) | |
| accuracy | 22.60161812163784 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))) | |
| accuracy | 30.507071016940433 | #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0.20703125 | (*.f64 (/.f64 #s(literal -1 binary64) z) y) | |
| accuracy | 33.72919434045912 | #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y)) | |
| accuracy | 44.42438741781761 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y))) | |
| accuracy | 0.0390625 | (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z) | |
| accuracy | 1.6906120361143158 | (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t) | |
| accuracy | 10.444193658359595 | (/.f64 (*.f64 z z) (*.f64 t y)) | |
| accuracy | 29.438920427493578 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) |
| 514.0ms | 256× | 0 | valid |
Compiled 2 859 to 167 computations (94.2% saved)
ival-mult: 220.0ms (56.1% of total)ival-div: 145.0ms (37% of total)ival-pow: 12.0ms (3.1% of total)ival-add: 10.0ms (2.6% of total)ival-sub: 3.0ms (0.8% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
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| Outputs |
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 95.0ms | y | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* (/ -1 z) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ (* 2 z) t) (* 2 z) (* (+ (* (/ 1/2 z) (/ (* y y) z)) (/ y t)) t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (/ (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)))) (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (pow x 3) (/ (* z z) (* t y)) (* (+ (* (/ (* z z) (* t y)) -4) -2) z) (/ (* y y) z) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3)) (/ (* (/ z t) z) y)) |
| 81.0ms | y | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* (/ -1 z) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ (* 2 z) t) (* 2 z) (* (+ (* (/ 1/2 z) (/ (* y y) z)) (/ y t)) t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (/ (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)))) (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (pow x 3) (/ (* z z) (* t y)) (* (+ (* (/ (* z z) (* t y)) -4) -2) z) (/ (* y y) z) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3)) (/ (* (/ z t) z) y)) |
| 75.0ms | y | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* (/ -1 z) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ (* 2 z) t) (* 2 z) (* (+ (* (/ 1/2 z) (/ (* y y) z)) (/ y t)) t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (/ (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)))) (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (pow x 3) (/ (* z z) (* t y)) (* (+ (* (/ (* z z) (* t y)) -4) -2) z) (/ (* y y) z) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3)) (/ (* (/ z t) z) y)) |
| 53.0ms | z | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* (/ -1 z) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ (* 2 z) t) (* 2 z) (* (+ (* (/ 1/2 z) (/ (* y y) z)) (/ y t)) t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (/ (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)))) (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (pow x 3) (/ (* z z) (* t y)) (* (+ (* (/ (* z z) (* t y)) -4) -2) z) (/ (* y y) z) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3)) (/ (* (/ z t) z) y)) |
| 17.0ms | t | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* (/ -1 z) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ (* 2 z) t) (* 2 z) (* (+ (* (/ 1/2 z) (/ (* y y) z)) (/ y t)) t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (/ (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)))) (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (pow x 3) (/ (* z z) (* t y)) (* (+ (* (/ (* z z) (* t y)) -4) -2) z) (/ (* y y) z) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3)) (/ (* (/ z t) z) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1965 | 39159 |
| 1 | 6515 | 38972 |
| 0 | 8469 | 36877 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(/ y z) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(* -4 (/ (pow z 3) (* (pow t 2) y))) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2)) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2)) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2)) |
(* -4 (/ (pow z 3) (* t y))) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(* -1 (/ y z)) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))) |
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(* 2 (/ z t)) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
y |
(+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(* -1 (/ y z)) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))) |
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))) |
(* -1 (/ y z)) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(/ (- (* (pow x 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (/ (* (pow y 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 3))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 2)) |
(- (+ (* t (- (* 2 (/ (* (pow x 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 2))) (+ (* 4 (/ (* (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))) (- (* (pow x 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (/ (* (pow y 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 3)))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 3))) (* 8 (/ (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9)))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 2)))))) (/ (pow x 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (/ (pow y 3) (* (pow z 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))))) |
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(- (* (pow x 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (/ (* (pow y 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 3))) |
(- (+ (* t (- (* 2 (* (pow x 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))))) (* 8 (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))))))) (* (pow x 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (/ (* (pow y 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 3))) |
(- (+ (* t (- (+ (* 2 (* (pow x 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))))) (* t (- (* 2 (* (pow x 3) (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2)))))) (* 8 (- (* 1/4 (/ (* (pow y 3) (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))) (pow z 3))) (+ (* 1/64 (/ (* (pow y 3) (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))) (* 1/8 (/ (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))))) (pow z 6))))))))) (* 8 (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))))))) (* (pow x 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (/ (* (pow y 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 3))) |
(- (+ (* t (- (+ (* 2 (* (pow x 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))))) (* t (- (+ (* 2 (* (pow x 3) (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2)))))) (* t (- (* 2 (* (pow x 3) (- (* 1/16 (/ (pow y 5) (pow z 8))) (* -1/2 (/ (* y (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))) (pow z 2)))))) (* 8 (- (* 1/4 (/ (* (pow y 3) (- (* 1/16 (/ (pow y 5) (pow z 8))) (* -1/2 (/ (* y (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))) (pow z 2))))) (pow z 3))) (+ (* -1/64 (/ (* (pow y 6) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 9))) (+ (* 1/8 (/ (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (- (* 1/4 (/ (* (pow y 3) (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))) (pow z 3))) (+ (* 1/64 (/ (* (pow y 3) (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))) (* 1/8 (/ (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))))) (pow z 6)))))) (pow z 6))) (* 1/8 (/ (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))))) (pow z 6)))))))))) (* 8 (- (* 1/4 (/ (* (pow y 3) (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))) (pow z 3))) (+ (* 1/64 (/ (* (pow y 3) (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))) (* 1/8 (/ (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))))) (pow z 6))))))))) (* 8 (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))))))) (* (pow x 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (/ (* (pow y 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 3))) |
(* (pow x 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) |
(+ (* 2 (* t (* (pow x 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))))) (* (pow x 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) |
(+ (* t (+ (* 2 (* t (* (pow x 3) (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))))) (* 2 (* (pow x 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))))))) (* (pow x 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) |
(+ (* t (+ (* 2 (* (pow x 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))))) (* t (+ (* 2 (* t (* (pow x 3) (- (* 1/16 (/ (pow y 5) (pow z 8))) (* -1/2 (/ (* y (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))) (pow z 2))))))) (* 2 (* (pow x 3) (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2)))))))))) (* (pow x 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(* -4 (/ (pow z 3) (* t y))) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t) |
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t) |
(/ y z) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(/ (* (pow y 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 3)) |
(+ (* 8 (* t (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9)))))) (/ (* (pow y 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 3))) |
(+ (* t (+ (* 8 (* t (- (* 1/4 (/ (* (pow y 3) (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))) (pow z 3))) (+ (* 1/64 (/ (* (pow y 3) (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))) (* 1/8 (/ (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))))) (pow z 6))))))) (* 8 (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))))))) (/ (* (pow y 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 3))) |
(+ (* t (+ (* 8 (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))))) (* t (+ (* 8 (* t (- (* 1/4 (/ (* (pow y 3) (- (* 1/16 (/ (pow y 5) (pow z 8))) (* -1/2 (/ (* y (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))) (pow z 2))))) (pow z 3))) (+ (* -1/64 (/ (* (pow y 6) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 9))) (+ (* 1/8 (/ (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (- (* 1/4 (/ (* (pow y 3) (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))) (pow z 3))) (+ (* 1/64 (/ (* (pow y 3) (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))) (* 1/8 (/ (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))))) (pow z 6)))))) (pow z 6))) (* 1/8 (/ (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))))) (pow z 6)))))))) (* 8 (- (* 1/4 (/ (* (pow y 3) (- (* 1/8 (/ (pow y 4) (pow z 6))) (* -1/2 (/ (* y (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 2))))) (pow z 3))) (+ (* 1/64 (/ (* (pow y 3) (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))) (* 1/8 (/ (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9))))) (pow z 6)))))))))) (/ (* (pow y 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 3))) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* -2 (/ z t)) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) |
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) |
(* -2 (/ z t)) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(* -2 z) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* 2 (/ z t)) |
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t) |
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t) |
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 3))))))) t) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 1/2 (/ (* t (pow y 2)) (pow z 2))) |
(* t (+ (* 1/2 (/ (pow y 2) (pow z 2))) (/ y t))) |
(* t (+ (* 1/2 (/ (pow y 2) (pow z 2))) (/ y t))) |
(* t (+ (* 1/2 (/ (pow y 2) (pow z 2))) (/ y t))) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* 2 (/ z t)) |
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t) |
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t) |
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 3))))))) t) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3))))) |
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3))))) |
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3))))) |
x |
(- (+ x (* -2 (/ z t))) (* -4 (/ z t))) |
(- (+ x (+ (* -2 (/ z t)) (* 2 (/ (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))) (* (pow t 2) x))))) (+ (* -4 (/ z t)) (+ (* -4 (/ (* z (- (* -2 z) (* -4 z))) (* (pow t 2) x))) (+ (* 4 (/ (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))) (* (pow t 2) x))) (* 4 (/ (pow z 2) (* (pow t 2) x))))))) |
(- (+ x (+ (* -2 (/ z t)) (+ (* 2 (/ (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))) (* (pow t 2) x))) (* 2 (/ (- (* 4 (/ (pow z 4) y)) (* -2 (/ (* (pow z 2) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) y))) (* (pow t 3) x)))))) (+ (* -8 (/ (* z (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) (* (pow t 3) (pow x 2)))) (+ (* -8 (/ (pow z 3) (* (pow t 3) (pow x 2)))) (+ (* -4 (/ z t)) (+ (* -4 (/ (* z (- (* -2 z) (* -4 z))) (* (pow t 2) x))) (+ (* -4 (/ (* z (- (* 2 (/ (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))) x)) (+ (* -4 (/ (* z (- (* -2 z) (* -4 z))) x)) (+ (* 4 (/ (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))) x)) (* 4 (/ (pow z 2) x)))))) (* (pow t 3) x))) (+ (* 4 (/ (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))) (* (pow t 2) x))) (+ (* 4 (/ (- (* 4 (/ (pow z 4) y)) (* -2 (/ (* (pow z 2) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) y))) (* (pow t 3) x))) (+ (* 4 (/ (pow z 2) (* (pow t 2) x))) (/ (* (+ (* 4 (* (pow x 2) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))))) (* 4 (* (pow x 2) (pow z 2)))) (- (* -2 z) (* -4 z))) (* (pow t 3) (pow x 4)))))))))))) |
(pow x 5) |
(+ (* -2 (/ (* (pow x 4) z) t)) (pow x 5)) |
(+ (* -2 (/ (* (pow x 4) z) t)) (+ (* 2 (/ (* (pow x 3) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) (pow t 2))) (pow x 5))) |
(- (+ (* -2 (/ (* (pow x 4) z) t)) (+ (* 2 (/ (* (pow x 3) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) (pow t 2))) (+ (* 2 (/ (* (pow x 3) (- (* 4 (/ (pow z 4) y)) (* -2 (/ (* (pow z 2) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) y)))) (pow t 3))) (pow x 5)))) (* -8 (/ (* (pow x 2) (pow z 3)) (pow t 3)))) |
(pow x 5) |
(+ (* -2 (/ (* (pow x 4) z) t)) (pow x 5)) |
(+ (* -2 (/ (* (pow x 4) z) t)) (+ (* 2 (/ (* (pow x 3) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) (pow t 2))) (pow x 5))) |
(+ (* -2 (/ (* (pow x 4) z) t)) (+ (* 2 (/ (* (pow x 3) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) (pow t 2))) (+ (* 2 (/ (* (pow x 3) (- (* 4 (/ (pow z 4) y)) (* -2 (/ (* (pow z 2) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) y)))) (pow t 3))) (pow x 5)))) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(* -2 z) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(* -2 (/ z t)) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) |
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) |
(* -8 (/ (* (pow x 2) (pow z 3)) (pow t 3))) |
(/ (+ (* -8 (* (pow x 2) (pow z 3))) (* 8 (/ (- (* 2 (* x (pow z 4))) (/ (* (pow x 2) (* (pow z 3) (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))))) (pow y 3))) t))) (pow t 3)) |
(/ (+ (* -8 (* (pow x 2) (pow z 3))) (+ (* 8 (/ (- (* -2 (* (pow z 3) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))))) (+ (* -1 (/ (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (- (* 2 (* x (pow z 4))) (/ (* (pow x 2) (* (pow z 3) (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))))) (pow y 3)))) (pow y 3))) (/ (* (pow x 2) (* (pow z 3) (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))))) (pow y 3)))) (pow t 2))) (* 8 (/ (- (* 2 (* x (pow z 4))) (/ (* (pow x 2) (* (pow z 3) (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))))) (pow y 3))) t)))) (pow t 3)) |
(/ (+ (* -8 (* (pow x 2) (pow z 3))) (+ (* 8 (/ (- (* -2 (* (pow z 3) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))))) (+ (* -1 (/ (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (- (* 2 (* x (pow z 4))) (/ (* (pow x 2) (* (pow z 3) (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))))) (pow y 3)))) (pow y 3))) (/ (* (pow x 2) (* (pow z 3) (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))))) (pow y 3)))) (pow t 2))) (+ (* 8 (/ (- (* -2 (* (pow z 3) (- (* 4 (/ (pow z 4) y)) (* -2 (/ (* (pow z 2) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) y))))) (+ (* -1 (/ (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (- (* 2 (* x (pow z 4))) (/ (* (pow x 2) (* (pow z 3) (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))))) (pow y 3)))) (pow y 3))) (+ (* -1 (/ (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (- (* -2 (* (pow z 3) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))))) (+ (* -1 (/ (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (- (* 2 (* x (pow z 4))) (/ (* (pow x 2) (* (pow z 3) (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))))) (pow y 3)))) (pow y 3))) (/ (* (pow x 2) (* (pow z 3) (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))))) (pow y 3))))) (pow y 3))) (* 8 (/ (* (pow x 2) (pow z 9)) (pow y 3)))))) (pow t 3))) (* 8 (/ (- (* 2 (* x (pow z 4))) (/ (* (pow x 2) (* (pow z 3) (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))))) (pow y 3))) t))))) (pow t 3)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
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x |
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(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(* 2 (/ z t)) |
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(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)) |
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 3)))) (* -8 (/ (pow z 5) (pow y 2)))) t)) (* 4 (/ (pow z 3) y))) t))) t)) |
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(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
x |
(+ x (* 2 (/ z t))) |
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(+ x (* 2 (/ z t))) |
(* 2 (/ z t)) |
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(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 1/2 (/ (* t (pow y 2)) (pow z 2))) |
(* -1 (* t (+ (* -1 (/ y t)) (* -1/2 (/ (pow y 2) (pow z 2)))))) |
(* -1 (* t (+ (* -1 (/ y t)) (* -1/2 (/ (pow y 2) (pow z 2)))))) |
(* -1 (* t (+ (* -1 (/ y t)) (* -1/2 (/ (pow y 2) (pow z 2)))))) |
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(+ x (* 2 (/ z t))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
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(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)) |
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 3)))) (* -8 (/ (pow z 5) (pow y 2)))) t)) (* 4 (/ (pow z 3) y))) t))) t)) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (/ y (* t z))))) |
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (/ y (* t z))))) |
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (/ y (* t z))))) |
x |
(+ x (* -1 (/ (- (* 2 z) (* 4 z)) t))) |
(+ x (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))) x)) (+ (* 4 (/ (* z (- (* 2 z) (* 4 z))) x)) (+ (* 4 (/ (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))) x)) (* 4 (/ (pow z 2) x))))) t)) (* 2 z)) (* 4 z)) t))) |
(+ x (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ (- (* -4 (/ (pow z 4) y)) (* 2 (/ (* (pow z 2) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) y))) x)) (+ (* 4 (/ (* z (- (* 2 (/ (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))) x)) (+ (* 4 (/ (* z (- (* 2 z) (* 4 z))) x)) (+ (* 4 (/ (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))) x)) (* 4 (/ (pow z 2) x)))))) x)) (+ (* 4 (/ (- (* -4 (/ (pow z 4) y)) (* 2 (/ (* (pow z 2) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) y))) x)) (+ (* 8 (/ (* z (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) (pow x 2))) (+ (* 8 (/ (pow z 3) (pow x 2))) (/ (* (+ (* 4 (* (pow x 2) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))))) (* 4 (* (pow x 2) (pow z 2)))) (- (* 2 z) (* 4 z))) (pow x 4))))))) t)) (* 2 (/ (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))) x))) (+ (* 4 (/ (* z (- (* 2 z) (* 4 z))) x)) (+ (* 4 (/ (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))) x)) (* 4 (/ (pow z 2) x))))) t)) (* 2 z)) (* 4 z)) t))) |
(pow x 5) |
(+ (* -2 (/ (* (pow x 4) z) t)) (pow x 5)) |
(+ (* -1 (/ (+ (* -2 (/ (* (pow x 3) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) t)) (* 2 (* (pow x 4) z))) t)) (pow x 5)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 2 (* (pow x 3) (- (* -4 (/ (pow z 4) y)) (* 2 (/ (* (pow z 2) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) y))))) (* 8 (* (pow x 2) (pow z 3)))) t)) (* 2 (* (pow x 3) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))))) t)) (* 2 (* (pow x 4) z))) t)) (pow x 5)) |
(pow x 5) |
(+ (* -2 (/ (* (pow x 4) z) t)) (pow x 5)) |
(+ (* -1 (/ (+ (* -2 (/ (* (pow x 3) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) t)) (* 2 (* (pow x 4) z))) t)) (pow x 5)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow x 3) (- (* -4 (/ (pow z 4) y)) (* 2 (/ (* (pow z 2) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) y)))) t)) (* 2 (* (pow x 3) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))))) t)) (* 2 (* (pow x 4) z))) t)) (pow x 5)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(* -2 z) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(* -2 (/ z t)) |
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t)) |
(* -8 (/ (* (pow x 2) (pow z 3)) (pow t 3))) |
(* -1 (/ (+ (* -8 (/ (- (* 2 (* x (pow z 4))) (/ (* (pow x 2) (* (pow z 3) (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))))) (pow y 3))) t)) (* 8 (* (pow x 2) (pow z 3)))) (pow t 3))) |
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (- (* 2 (* (pow z 3) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))))) (+ (/ (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (- (* 2 (* x (pow z 4))) (/ (* (pow x 2) (* (pow z 3) (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))))) (pow y 3)))) (pow y 3)) (/ (* (pow x 2) (* (pow z 3) (+ (* 4 (* y (pow z 4))) (* 8 (* y (pow z 4)))))) (pow y 3)))) t)) (* 8 (- (* 2 (* x (pow z 4))) (/ (* (pow x 2) (* (pow z 3) (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))))) (pow y 3))))) t)) (* 8 (* (pow x 2) (pow z 3)))) (pow t 3))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (- (* 2 (* (pow z 3) (- (* -4 (/ (pow z 4) y)) (* 2 (/ (* (pow z 2) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y)))) y))))) (+ (* 8 (/ (* (pow x 2) (pow z 9)) (pow y 3))) (+ (/ (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (- (* 2 (* (pow z 3) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))))) (+ (/ (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (- (* 2 (* x (pow z 4))) (/ (* (pow x 2) (* (pow z 3) (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))))) (pow y 3)))) (pow y 3)) (/ (* (pow x 2) (* (pow z 3) (+ (* 4 (* y (pow z 4))) (* 8 (* y (pow z 4)))))) (pow y 3))))) (pow y 3)) (/ (* (+ (* 4 (* y (pow z 4))) (* 8 (* y (pow z 4)))) (- (* 2 (* x (pow z 4))) (/ (* (pow x 2) (* (pow z 3) (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))))) (pow y 3)))) (pow y 3))))) t)) (* 8 (- (* 2 (* (pow z 3) (- (* 2 (pow z 2)) (* 2 (/ (* x (pow z 3)) y))))) (+ (/ (* (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))) (- (* 2 (* x (pow z 4))) (/ (* (pow x 2) (* (pow z 3) (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))))) (pow y 3)))) (pow y 3)) (/ (* (pow x 2) (* (pow z 3) (+ (* 4 (* y (pow z 4))) (* 8 (* y (pow z 4)))))) (pow y 3)))))) t)) (* 8 (- (* 2 (* x (pow z 4))) (/ (* (pow x 2) (* (pow z 3) (+ (* 2 (* (pow y 2) (pow z 2))) (* 4 (* (pow y 2) (pow z 2)))))) (pow y 3))))) t)) (* 8 (* (pow x 2) (pow z 3)))) (pow t 3))) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* -2 (/ z t)) |
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* -2 (/ z t)) |
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))) |
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))) |
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))) |
(* -2 z) |
(* z (- (* -4 (/ (pow z 2) (* t y))) 2)) |
(* z (- (* -4 (/ (pow z 2) (* t y))) 2)) |
(* z (- (* -4 (/ (pow z 2) (* t y))) 2)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* 2 (/ z t)) |
(* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))) |
(* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 1/2 (/ (* t (pow y 2)) (pow z 2))) |
(/ (+ (* 1/2 (* t (pow y 2))) (* y (pow z 2))) (pow z 2)) |
(/ (+ (* 1/2 (* t (pow y 2))) (* y (pow z 2))) (pow z 2)) |
(/ (+ (* 1/2 (* t (pow y 2))) (* y (pow z 2))) (pow z 2)) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* 2 (/ z t)) |
(* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))) |
(* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 3)) |
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 3)) |
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 3)) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* (pow z 2) (- (+ (* 8 (/ 1 (* (pow t 2) y))) (* 24 (/ 1 (* (pow t 3) (pow x 2))))) (+ (* 2 (/ (+ (* 4 (/ (pow x 2) (pow t 2))) (* 8 (/ (pow x 2) (pow t 2)))) (* t (pow x 4)))) (* 4 (/ 1 (* (pow t 2) y)))))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (- (+ (* 8 (/ 1 (* (pow t 2) y))) (+ (* 24 (/ 1 (* (pow t 3) (pow x 2)))) (* z (- (* 16 (/ 1 (* (pow t 3) (* x y)))) (+ (* -4 (/ (- (+ (* 8 (/ 1 (* (pow t 2) y))) (* 24 (/ 1 (* (pow t 3) (pow x 2))))) (+ (* 2 (/ (+ (* 4 (/ (pow x 2) (pow t 2))) (* 8 (/ (pow x 2) (pow t 2)))) (* t (pow x 4)))) (* 4 (/ 1 (* (pow t 2) y))))) (* t x))) (+ (* 2 (/ (+ (* -16 (/ x (pow t 3))) (* -8 (/ (pow x 3) (* (pow t 2) y)))) (* t (pow x 4)))) (+ (* 32 (/ 1 (* (pow t 4) (pow x 3)))) (* 48 (/ 1 (* (pow t 3) (* x y))))))))))) (+ (* 2 (/ (+ (* 4 (/ (pow x 2) (pow t 2))) (* 8 (/ (pow x 2) (pow t 2)))) (* t (pow x 4)))) (* 4 (/ 1 (* (pow t 2) y)))))) (* 2 (/ 1 t))))) |
(pow x 5) |
(+ (* -2 (/ (* (pow x 4) z) t)) (pow x 5)) |
(+ (* z (+ (* -2 (/ (pow x 4) t)) (* 4 (/ (* (pow x 3) z) (pow t 2))))) (pow x 5)) |
(+ (* z (+ (* -2 (/ (pow x 4) t)) (* z (+ (* 4 (/ (pow x 3) (pow t 2))) (* z (- (* -4 (/ (pow x 4) (* (pow t 2) y))) (* -8 (/ (pow x 2) (pow t 3))))))))) (pow x 5)) |
(pow x 5) |
(+ (* -2 (/ (* (pow x 4) z) t)) (pow x 5)) |
(+ (* z (+ (* -2 (/ (pow x 4) t)) (* 4 (/ (* (pow x 3) z) (pow t 2))))) (pow x 5)) |
(+ (* z (+ (* -2 (/ (pow x 4) t)) (* z (+ (* -4 (/ (* (pow x 4) z) (* (pow t 2) y))) (* 4 (/ (pow x 3) (pow t 2))))))) (pow x 5)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(* -2 z) |
(* z (- (* -4 (/ (pow z 2) (* t y))) 2)) |
(* z (- (* -4 (/ (pow z 2) (* t y))) 2)) |
(* z (- (* -4 (/ (pow z 2) (* t y))) 2)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(* -2 (/ z t)) |
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* -8 (/ (* (pow x 2) (pow z 3)) (pow t 3))) |
(* (pow z 3) (+ (* -8 (/ (pow x 2) (pow t 3))) (* 16 (/ (* x z) (pow t 4))))) |
(* (pow z 3) (+ (* -8 (/ (pow x 2) (pow t 3))) (* z (+ (* -8 (* z (+ (* 4 (/ 1 (pow t 5))) (/ (* (pow x 2) (+ (* 2 (* (pow t 2) (pow y 2))) (* 4 (* (pow t 2) (pow y 2))))) (* (pow t 6) (pow y 3)))))) (* 16 (/ x (pow t 4))))))) |
(* (pow z 3) (+ (* -8 (/ (pow x 2) (pow t 3))) (* z (+ (* 16 (/ x (pow t 4))) (* z (+ (* -8 (+ (* 4 (/ 1 (pow t 5))) (/ (* (pow x 2) (+ (* 2 (* (pow t 2) (pow y 2))) (* 4 (* (pow t 2) (pow y 2))))) (* (pow t 6) (pow y 3))))) (* 8 (* z (- (* 4 (/ x (* (pow t 5) y))) (* -2 (/ (* x (+ (* 2 (* (pow t 2) (pow y 2))) (* 4 (* (pow t 2) (pow y 2))))) (* (pow t 7) (pow y 3))))))))))))) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
x |
(+ x (* -1 (/ y z))) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(/ y z) |
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z) |
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z) |
(* -4 (/ (pow z 3) (* (pow t 2) y))) |
(* -1 (* (pow z 3) (+ (* 2 (/ 1 (* t (pow z 2)))) (* 4 (/ 1 (* (pow t 2) y)))))) |
(* -1 (* (pow z 3) (+ (* 2 (/ 1 (* t (pow z 2)))) (* 4 (/ 1 (* (pow t 2) y)))))) |
(* -1 (* (pow z 3) (+ (* 2 (/ 1 (* t (pow z 2)))) (* 4 (/ 1 (* (pow t 2) y)))))) |
(* -4 (/ (pow z 3) (* t y))) |
(* -1 (* (pow z 3) (+ (* 4 (/ 1 (* t y))) (* 2 (/ 1 (pow z 2)))))) |
(* -1 (* (pow z 3) (+ (* 4 (/ 1 (* t y))) (* 2 (/ 1 (pow z 2)))))) |
(* -1 (* (pow z 3) (+ (* 4 (/ 1 (* t y))) (* 2 (/ 1 (pow z 2)))))) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
x |
(+ x (* -1 (/ y z))) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(* -1 (/ y z)) |
(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z) |
(/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z) |
(/ -1 z) |
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(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
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(* 2 z) |
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(* 2 z) |
(* 2 z) |
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(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z) |
(/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z) |
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(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
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(- (+ x (+ (* -1 (/ (+ (* 2 (/ (* y (- y (* 2 y))) x)) (* 2 (/ (pow y 2) x))) (pow z 2))) (/ y z))) (* 2 (/ y z))) |
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(pow x 5) |
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(pow x 5) |
(+ (/ (* (pow x 4) y) z) (pow x 5)) |
(+ (/ (* (pow x 3) (pow y 2)) (pow z 2)) (+ (/ (* (pow x 4) y) z) (pow x 5))) |
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(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z) |
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(/ (* (pow x 2) (pow y 3)) (pow z 3)) |
(/ (+ (* (pow x 2) (pow y 3)) (/ (* x (pow y 4)) z)) (pow z 3)) |
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(/ y z) |
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)) |
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(* -1 (* (pow z 3) (+ (* 4 (/ 1 (* t y))) (* 2 (/ 1 (pow z 2)))))) |
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(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
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(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
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(+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) |
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(+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) |
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(* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)) |
(* -1 (/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)) |
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(* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
x |
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(+ x (* -1 (/ (- (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) (* x z))) (+ (* -1 y) (* 2 (/ (pow y 2) (* x z))))) (* -2 y)) z))) |
(+ x (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1/2 (* t (pow y 2))) (+ (* -2 (/ (pow y 3) (pow x 2))) (+ (* -1 (* t (pow y 2))) (+ (* -1 (/ (pow y 3) (pow x 2))) (+ (* 2 (/ (* y (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) x)) (* 2 (/ (pow y 2) x)))) x)) (/ (* (+ (* 2 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) (- (* -1 y) (* -2 y))) (pow x 4))))))) z)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) x)) (* 2 (/ (pow y 2) x)))) z))) (* -2 y)) z))) |
(pow x 5) |
(+ (/ (* (pow x 4) y) z) (pow x 5)) |
(+ (* -1 (/ (+ (* -1 (* (pow x 4) y)) (* -1 (/ (* (pow x 3) (pow y 2)) z))) z)) (pow x 5)) |
(+ (* -1 (/ (+ (* -1 (* (pow x 4) y)) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (* t (* (pow x 4) (pow y 2)))) (* -1 (* (pow x 2) (pow y 3)))) z)) (* (pow x 3) (pow y 2))) z))) z)) (pow x 5)) |
(pow x 5) |
(+ (/ (* (pow x 4) y) z) (pow x 5)) |
(+ (* -1 (/ (+ (* -1 (* (pow x 4) y)) (* -1 (/ (* (pow x 3) (pow y 2)) z))) z)) (pow x 5)) |
(+ (* -1 (/ (+ (* -1 (* (pow x 4) y)) (* -1 (/ (+ (* 1/2 (/ (* t (* (pow x 4) (pow y 2))) z)) (* (pow x 3) (pow y 2))) z))) z)) (pow x 5)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(* -4 (/ (pow z 3) (* t y))) |
(* -1 (* (pow z 3) (+ (* 4 (/ 1 (* t y))) (* 2 (/ 1 (pow z 2)))))) |
(* -1 (* (pow z 3) (+ (* 4 (/ 1 (* t y))) (* 2 (/ 1 (pow z 2)))))) |
(* -1 (* (pow z 3) (+ (* 4 (/ 1 (* t y))) (* 2 (/ 1 (pow z 2)))))) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ y z) |
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z)) |
(/ (* (pow x 2) (pow y 3)) (pow z 3)) |
(* -1 (/ (+ (* -1 (* (pow x 2) (pow y 3))) (* -1 (/ (* x (pow y 4)) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* (pow x 2) (pow y 3))) (* -1 (/ (+ (* 8 (/ (- (* 1/8 (pow y 5)) (* 1/64 (* (pow x 2) (* (pow y 3) (+ (* -8 (* t y)) (* -4 (* t y))))))) z)) (* x (pow y 4))) z))) (pow z 3))) |
(* -1 (/ (+ (* -1 (* (pow x 2) (pow y 3))) (* -1 (/ (+ (* -1 (/ (+ (* -8 (- (* 1/8 (pow y 5)) (* 1/64 (* (pow x 2) (* (pow y 3) (+ (* -8 (* t y)) (* -4 (* t y)))))))) (* 8 (/ (- (* -1/16 (* t (* x (pow y 5)))) (* -1/64 (* x (* (pow y 4) (+ (* -8 (* t y)) (* -4 (* t y))))))) z))) z)) (* x (pow y 4))) z))) (pow z 3))) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(/ y z) |
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z))) |
(* -4 (/ (pow z 3) (* (pow t 2) y))) |
(/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -2 (/ (* y z) t))) y) |
(/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -2 (/ (* y z) t))) y) |
(/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -2 (/ (* y z) t))) y) |
(* -4 (/ (pow z 3) (* t y))) |
(/ (+ (* -4 (/ (pow z 3) t)) (* -2 (* y z))) y) |
(/ (+ (* -4 (/ (pow z 3) t)) (* -2 (* y z))) y) |
(/ (+ (* -4 (/ (pow z 3) t)) (* -2 (* y z))) y) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(* -1 (/ y z)) |
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(* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))) |
(* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* y (+ (* -1/4 (/ (pow t 2) (pow z 5))) (* -1/8 (/ (* (pow t 3) y) (pow z 7))))))) (/ 1 z))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
y |
(* y (+ 1 (* 1/2 (/ (* t y) (pow z 2))))) |
(* y (+ 1 (* 1/2 (/ (* t y) (pow z 2))))) |
(* y (+ 1 (* 1/2 (/ (* t y) (pow z 2))))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(* -1 (/ y z)) |
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(* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))) |
(* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* y (+ (* -1/4 (/ (pow t 2) (pow z 5))) (* -1/8 (/ (* (pow t 3) y) (pow z 7))))))) (/ 1 z))) |
(* -1 (/ y z)) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* y (- (+ (* 2 (/ (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3)))) x)) (/ 1 (* x (pow z 2)))) (* 4 (/ (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3)))) x)))) (/ 1 z)))) |
(+ x (* y (- (* y (- (+ (* 2 (/ (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3)))) x)) (+ (* y (- (* 2 (/ (- (* 1/4 (/ t (pow z 4))) (* -1/2 (/ (* t (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3))))) (pow z 2)))) x)) (+ (* -1 (/ (+ (* 4 (* (pow x 2) (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3)))))) (/ (pow x 2) (pow z 2))) (* (pow x 4) z))) (+ (* 2 (/ (- (+ (* 2 (/ (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3)))) x)) (/ 1 (* x (pow z 2)))) (* 4 (/ (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3)))) x))) (* x z))) (+ (* 4 (/ (- (* 1/4 (/ t (pow z 4))) (* -1/2 (/ (* t (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3))))) (pow z 2)))) x)) (+ (* 4 (/ (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3)))) (* (pow x 2) z))) (/ 1 (* (pow x 2) (pow z 3))))))))) (/ 1 (* x (pow z 2))))) (* 4 (/ (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3)))) x)))) (/ 1 z)))) |
(pow x 5) |
(+ (/ (* (pow x 4) y) z) (pow x 5)) |
(+ (* y (+ (* 2 (* (pow x 3) (* y (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3))))))) (/ (pow x 4) z))) (pow x 5)) |
(+ (* y (+ (* y (+ (* 2 (* (pow x 3) (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3)))))) (* y (- (* 2 (* (pow x 3) (- (* 1/4 (/ t (pow z 4))) (* -1/2 (/ (* t (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3))))) (pow z 2)))))) (/ (pow x 2) (pow z 3)))))) (/ (pow x 4) z))) (pow x 5)) |
(pow x 5) |
(+ (/ (* (pow x 4) y) z) (pow x 5)) |
(+ (* y (+ (* 2 (* (pow x 3) (* y (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3))))))) (/ (pow x 4) z))) (pow x 5)) |
(+ (* y (+ (* y (+ (* 2 (* (pow x 3) (* y (- (* 1/4 (/ t (pow z 4))) (* -1/2 (/ (* t (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3))))) (pow z 2))))))) (* 2 (* (pow x 3) (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3)))))))) (/ (pow x 4) z))) (pow x 5)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(* -4 (/ (pow z 3) (* t y))) |
(/ (+ (* -4 (/ (pow z 3) t)) (* -2 (* y z))) y) |
(/ (+ (* -4 (/ (pow z 3) t)) (* -2 (* y z))) y) |
(/ (+ (* -4 (/ (pow z 3) t)) (* -2 (* y z))) y) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ y z) |
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z))) |
(/ (* (pow x 2) (pow y 3)) (pow z 3)) |
(* (pow y 3) (+ (* 8 (* y (- (* 1/8 (/ x (pow z 4))) (* 1/64 (/ (* (pow x 2) (+ (* -8 (* t (pow z 4))) (* -4 (* t (pow z 4))))) (pow z 9)))))) (/ (pow x 2) (pow z 3)))) |
(* (pow y 3) (+ (* y (+ (* 8 (* y (- (* 1/4 (/ (- (* 1/2 (/ 1 (pow z 2))) (* -1/4 (/ (* t x) (pow z 3)))) (pow z 3))) (+ (* 1/64 (/ (* (pow x 2) (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2))))) (pow z 9))) (* 1/8 (/ (* (+ (* -8 (* t (pow z 4))) (* -4 (* t (pow z 4)))) (- (* 1/8 (/ x (pow z 4))) (* 1/64 (/ (* (pow x 2) (+ (* -8 (* t (pow z 4))) (* -4 (* t (pow z 4))))) (pow z 9))))) (pow z 6))))))) (* 8 (- (* 1/8 (/ x (pow z 4))) (* 1/64 (/ (* (pow x 2) (+ (* -8 (* t (pow z 4))) (* -4 (* t (pow z 4))))) (pow z 9))))))) (/ (pow x 2) (pow z 3)))) |
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(* 1/2 (/ (* t (pow y 2)) (pow z 2))) |
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(* 2 (/ z t)) |
(+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))) |
(+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))) |
(+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
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(- (+ (* -1 (/ (- (+ (* -2 (* (pow x 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2)))))) (* -1 (/ (- (* -2 (* (pow x 3) (- (* -8 (/ (pow z 6) (pow t 4))) (* 2 (/ (* (pow z 2) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) t))))) (* -8 (- (* -2 (/ (* (pow z 3) (- (* -8 (/ (pow z 6) (pow t 4))) (* 2 (/ (* (pow z 2) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) t)))) (pow t 3))) (+ (/ (* (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))) (- (* -2 (/ (* (pow z 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) (pow t 3))) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))))) (pow t 6)))) (pow t 3)) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 4 (* t (pow z 4))) (* 8 (* t (pow z 4)))))) (pow t 6)))))) y))) (* -8 (- (* -2 (/ (* (pow z 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) (pow t 3))) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))))) (pow t 6))))) y)) (* (pow x 3) (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)))) (* -8 (/ (* (pow z 3) (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2))) (pow t 3)))) |
(- (+ (* -1 (/ (- (+ (* -2 (* (pow x 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2)))))) (* -1 (/ (- (+ (* -2 (* (pow x 3) (- (* -8 (/ (pow z 6) (pow t 4))) (* 2 (/ (* (pow z 2) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) t))))) (* -1 (/ (- (* -2 (* (pow x 3) (- (* 16 (/ (pow z 8) (pow t 5))) (* 2 (/ (* (pow z 2) (- (* -8 (/ (pow z 6) (pow t 4))) (* 2 (/ (* (pow z 2) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) t)))) t))))) (* -8 (- (* -2 (/ (* (pow z 3) (- (* 16 (/ (pow z 8) (pow t 5))) (* 2 (/ (* (pow z 2) (- (* -8 (/ (pow z 6) (pow t 4))) (* 2 (/ (* (pow z 2) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) t)))) t)))) (pow t 3))) (+ (* 8 (/ (* (pow z 9) (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2))) (pow t 6))) (+ (/ (* (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))) (- (* -2 (/ (* (pow z 3) (- (* -8 (/ (pow z 6) (pow t 4))) (* 2 (/ (* (pow z 2) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) t)))) (pow t 3))) (+ (/ (* (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))) (- (* -2 (/ (* (pow z 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) (pow t 3))) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))))) (pow t 6)))) (pow t 3)) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 4 (* t (pow z 4))) (* 8 (* t (pow z 4)))))) (pow t 6))))) (pow t 3)) (/ (* (+ (* 4 (* t (pow z 4))) (* 8 (* t (pow z 4)))) (- (* -2 (/ (* (pow z 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) (pow t 3))) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))))) (pow t 6)))) (pow t 3))))))) y))) (* -8 (- (* -2 (/ (* (pow z 3) (- (* -8 (/ (pow z 6) (pow t 4))) (* 2 (/ (* (pow z 2) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) t)))) (pow t 3))) (+ (/ (* (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))) (- (* -2 (/ (* (pow z 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) (pow t 3))) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))))) (pow t 6)))) (pow t 3)) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 4 (* t (pow z 4))) (* 8 (* t (pow z 4)))))) (pow t 6)))))) y))) (* -8 (- (* -2 (/ (* (pow z 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) (pow t 3))) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))))) (pow t 6))))) y)) (* (pow x 3) (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)))) (* -8 (/ (* (pow z 3) (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2))) (pow t 3)))) |
(* (pow x 3) (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2))) |
(+ (* 2 (/ (* (pow x 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) y)) (* (pow x 3) (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)))) |
(+ (* -1 (/ (+ (* -2 (* (pow x 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2)))))) (* 2 (/ (* (pow x 3) (- (* -8 (/ (pow z 6) (pow t 4))) (* 2 (/ (* (pow z 2) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) t)))) y))) y)) (* (pow x 3) (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)))) |
(+ (* -1 (/ (+ (* -2 (* (pow x 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2)))))) (* -1 (/ (+ (* -2 (* (pow x 3) (- (* -8 (/ (pow z 6) (pow t 4))) (* 2 (/ (* (pow z 2) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) t))))) (* 2 (/ (* (pow x 3) (- (* 16 (/ (pow z 8) (pow t 5))) (* 2 (/ (* (pow z 2) (- (* -8 (/ (pow z 6) (pow t 4))) (* 2 (/ (* (pow z 2) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) t)))) t)))) y))) y))) y)) (* (pow x 3) (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)))) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(* -2 z) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) |
(* -8 (/ (* (pow z 3) (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2))) (pow t 3))) |
(+ (* -8 (/ (* (pow z 3) (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2))) (pow t 3))) (* 8 (/ (- (* -2 (/ (* (pow z 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) (pow t 3))) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))))) (pow t 6))) y))) |
(+ (* -8 (/ (* (pow z 3) (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2))) (pow t 3))) (* -1 (/ (+ (* -8 (- (* -2 (/ (* (pow z 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) (pow t 3))) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))))) (pow t 6)))) (* 8 (/ (- (* -2 (/ (* (pow z 3) (- (* -8 (/ (pow z 6) (pow t 4))) (* 2 (/ (* (pow z 2) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) t)))) (pow t 3))) (+ (/ (* (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))) (- (* -2 (/ (* (pow z 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) (pow t 3))) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))))) (pow t 6)))) (pow t 3)) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 4 (* t (pow z 4))) (* 8 (* t (pow z 4)))))) (pow t 6)))) y))) y))) |
(+ (* -8 (/ (* (pow z 3) (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2))) (pow t 3))) (* -1 (/ (+ (* -8 (- (* -2 (/ (* (pow z 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) (pow t 3))) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))))) (pow t 6)))) (* -1 (/ (+ (* -8 (- (* -2 (/ (* (pow z 3) (- (* -8 (/ (pow z 6) (pow t 4))) (* 2 (/ (* (pow z 2) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) t)))) (pow t 3))) (+ (/ (* (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))) (- (* -2 (/ (* (pow z 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) (pow t 3))) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))))) (pow t 6)))) (pow t 3)) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 4 (* t (pow z 4))) (* 8 (* t (pow z 4)))))) (pow t 6))))) (* 8 (/ (- (* -2 (/ (* (pow z 3) (- (* 16 (/ (pow z 8) (pow t 5))) (* 2 (/ (* (pow z 2) (- (* -8 (/ (pow z 6) (pow t 4))) (* 2 (/ (* (pow z 2) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) t)))) t)))) (pow t 3))) (+ (* 8 (/ (* (pow z 9) (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2))) (pow t 6))) (+ (/ (* (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))) (- (* -2 (/ (* (pow z 3) (- (* -8 (/ (pow z 6) (pow t 4))) (* 2 (/ (* (pow z 2) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) t)))) (pow t 3))) (+ (/ (* (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))) (- (* -2 (/ (* (pow z 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) (pow t 3))) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))))) (pow t 6)))) (pow t 3)) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 4 (* t (pow z 4))) (* 8 (* t (pow z 4)))))) (pow t 6))))) (pow t 3)) (/ (* (+ (* 4 (* t (pow z 4))) (* 8 (* t (pow z 4)))) (- (* -2 (/ (* (pow z 3) (- (* 4 (/ (pow z 4) (pow t 3))) (* 2 (/ (* (pow z 3) (+ x (* -2 (/ z t)))) (pow t 2))))) (pow t 3))) (/ (* (pow z 3) (* (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)) (+ (* 2 (* (pow t 2) (pow z 2))) (* 4 (* (pow t 2) (pow z 2)))))) (pow t 6)))) (pow t 3))))) y))) y))) y))) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(/ (pow z 2) (* t y)) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* 2 (/ z t)) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(+ x (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(+ (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* x (+ 1 (* x (- (+ (* -1/2 (/ (- (* 2 (pow z 2)) (* t y)) (* y z))) (/ t z)) (+ (* -1/8 (/ (* (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (pow (- (* 2 (pow z 2)) (* t y)) 3)) (* (pow y 3) (pow z 3)))) (* 2 (/ z y)))))))) |
(+ (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* x (+ 1 (* x (- (+ (* -1/2 (/ (- (* 2 (pow z 2)) (* t y)) (* y z))) (+ (* x (- (* 1/4 (/ (pow (- (* 2 (pow z 2)) (* t y)) 2) (* (pow y 2) (pow z 2)))) (+ (* -1/2 (/ (pow (- (* 2 (pow z 2)) (* t y)) 2) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (/ (* (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (pow (- (* 2 (pow z 2)) (* t y)) 4)) (* (pow y 4) (pow z 4)))) (/ (* (- (* 2 (pow z 2)) (* t y)) (- (+ (* -1/2 (/ (- (* 2 (pow z 2)) (* t y)) (* y z))) (/ t z)) (+ (* -1/8 (/ (* (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (pow (- (* 2 (pow z 2)) (* t y)) 3)) (* (pow y 3) (pow z 3)))) (* 2 (/ z y))))) (* y z)))))) (/ t z))) (+ (* -1/8 (/ (* (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (pow (- (* 2 (pow z 2)) (* t y)) 3)) (* (pow y 3) (pow z 3)))) (* 2 (/ z y)))))))) |
(* -32 (/ (* (pow y 5) (pow z 5)) (pow (- (* 2 (pow z 2)) (* t y)) 5))) |
(- (* -16 (/ (* x (* (pow y 4) (pow z 4))) (pow (- (* 2 (pow z 2)) (* t y)) 4))) (* 32 (/ (* (pow y 5) (pow z 5)) (pow (- (* 2 (pow z 2)) (* t y)) 5)))) |
(- (* x (- (* -8 (/ (* x (* (pow y 3) (pow z 3))) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* 16 (/ (* (pow y 4) (pow z 4)) (pow (- (* 2 (pow z 2)) (* t y)) 4))))) (* 32 (/ (* (pow y 5) (pow z 5)) (pow (- (* 2 (pow z 2)) (* t y)) 5)))) |
(- (* x (- (* x (- (* 4 (/ (* x (* (pow y 2) (pow z 2))) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))))) (* 16 (/ (* (pow y 4) (pow z 4)) (pow (- (* 2 (pow z 2)) (* t y)) 4))))) (* 32 (/ (* (pow y 5) (pow z 5)) (pow (- (* 2 (pow z 2)) (* t y)) 5)))) |
(* 4 (/ (* (pow x 3) (* (pow y 2) (pow z 2))) (pow (- (* 2 (pow z 2)) (* t y)) 2))) |
(* (pow x 3) (+ (* 2 (/ (* x (* y z)) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))))) |
(* (pow x 3) (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* x (+ x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))))) |
(* (pow x 3) (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* x (+ x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 32 (/ (* (pow y 5) (pow z 5)) (pow (- (* 2 (pow z 2)) (* t y)) 5))) |
(+ (* 16 (/ (* x (* (pow y 4) (pow z 4))) (pow (- (* 2 (pow z 2)) (* t y)) 4))) (* 32 (/ (* (pow y 5) (pow z 5)) (pow (- (* 2 (pow z 2)) (* t y)) 5)))) |
(+ (* 32 (/ (* (pow y 5) (pow z 5)) (pow (- (* 2 (pow z 2)) (* t y)) 5))) (* x (+ (* 8 (/ (* x (* (pow y 3) (pow z 3))) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* 16 (/ (* (pow y 4) (pow z 4)) (pow (- (* 2 (pow z 2)) (* t y)) 4)))))) |
(+ (* 32 (/ (* (pow y 5) (pow z 5)) (pow (- (* 2 (pow z 2)) (* t y)) 5))) (* x (+ (* 8 (/ (* x (* (pow y 3) (pow z 3))) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* 16 (/ (* (pow y 4) (pow z 4)) (pow (- (* 2 (pow z 2)) (* t y)) 4)))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (- (+ 1 (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))) (* 4 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (- (+ 1 (+ (* -1 (/ (+ (* 4 (/ (* y (* z (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))) (- (* 2 (pow z 2)) (* t y)))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (pow x 2))) (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (* 4 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (- (+ 1 (+ (* -8 (/ (* (pow y 3) (pow z 3)) (* (pow x 3) (pow (- (* 2 (pow z 2)) (* t y)) 3)))) (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (+ (* -4 (/ (* y (* z (+ (* 4 (/ (* y (* z (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))) (- (* 2 (pow z 2)) (* t y)))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))) (* (pow x 3) (- (* 2 (pow z 2)) (* t y))))) (+ (* 4 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (+ (* 4 (/ (* y (* z (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))) (* (pow x 2) (- (* 2 (pow z 2)) (* t y))))) (+ (* 8 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (+ (* 16 (/ (* (pow y 3) (pow z 3)) (* (pow x 3) (pow (- (* 2 (pow z 2)) (* t y)) 3)))) (/ (* (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))) (pow x 3))))))))) |
(pow x 5) |
(* (pow x 5) (+ 1 (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2))))))) |
(* (pow x 5) (+ 1 (+ (* -8 (/ (* (pow y 3) (pow z 3)) (* (pow x 3) (pow (- (* 2 (pow z 2)) (* t y)) 3)))) (+ (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))))) |
(pow x 5) |
(* (pow x 5) (+ 1 (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2))))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2))))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 8 (/ (* (pow x 2) (* (pow y 3) (pow z 3))) (pow (- (* 2 (pow z 2)) (* t y)) 3))) |
(* (pow x 2) (+ (* 8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* 16 (/ (* (pow y 4) (pow z 4)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 4)))))) |
(* (pow x 2) (+ (* 8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (+ (* 16 (/ (* (pow y 4) (pow z 4)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 4)))) (* 32 (/ (* (pow y 5) (pow z 5)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 5))))))) |
(* (pow x 2) (+ (* 8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (+ (* 16 (/ (* (pow y 4) (pow z 4)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 4)))) (* 32 (/ (* (pow y 5) (pow z 5)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 5))))))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (+ (* -4 (/ (* y (* z (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))) (- (* 2 (pow z 2)) (* t y)))) (* -1 (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))))))) x)) (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* -1 (/ (- (* -8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (+ (* -4 (/ (* y (* z (- (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (+ (* -4 (/ (* y (* z (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))) (- (* 2 (pow z 2)) (* t y)))) (* -1 (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))))))))) (- (* 2 (pow z 2)) (* t y)))) (+ (* 16 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))))) x))) (+ (* -4 (/ (* y (* z (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))) (- (* 2 (pow z 2)) (* t y)))) (* -1 (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))))))) x)) (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x)) 1))) |
(pow x 5) |
(* -1 (* (pow x 5) (- (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2))))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 3) (pow z 3)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 3))))) x)) (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x)) 1))) |
(pow x 5) |
(* -1 (* (pow x 5) (- (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2))))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2))))) x)) 1))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 8 (/ (* (pow x 2) (* (pow y 3) (pow z 3))) (pow (- (* 2 (pow z 2)) (* t y)) 3))) |
(* (pow x 2) (+ (* 8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* 16 (/ (* (pow y 4) (pow z 4)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 4)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -32 (/ (* (pow y 5) (pow z 5)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 5)))) (* -16 (/ (* (pow y 4) (pow z 4)) (pow (- (* 2 (pow z 2)) (* t y)) 4)))) x)) (* 8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -32 (/ (* (pow y 5) (pow z 5)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 5)))) (* -16 (/ (* (pow y 4) (pow z 4)) (pow (- (* 2 (pow z 2)) (* t y)) 4)))) x)) (* 8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))))) |
| Outputs |
|---|
(-.f64 x (/.f64 y z)) |
(-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) x) (/.f64 y z)) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 z #s(literal 5 binary64)))) t x) (/.f64 y z)) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) t)) (pow.f64 z #s(literal 7 binary64)))) t (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t x) (/.f64 y z)) |
(/.f64 y z) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 y z)) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) t) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) t) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 t t) y)) |
(/.f64 (fma.f64 (*.f64 t z) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) (*.f64 t t)) |
(/.f64 (fma.f64 (*.f64 t z) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) (*.f64 t t)) |
(/.f64 (fma.f64 (*.f64 t z) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) (*.f64 t t)) |
(/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 t y)) |
(/.f64 (fma.f64 (*.f64 t z) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t) |
(/.f64 (fma.f64 (*.f64 t z) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t) |
(/.f64 (fma.f64 (*.f64 t z) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t) |
(-.f64 x (/.f64 y z)) |
(-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) x) (/.f64 y z)) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 z #s(literal 5 binary64)))) t x) (/.f64 y z)) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) t)) (pow.f64 z #s(literal 7 binary64)))) t (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t x) (/.f64 y z)) |
(/.f64 (neg.f64 y) z) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) z)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (neg.f64 y) z)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) t)) (pow.f64 z #s(literal 7 binary64)))) t (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 (neg.f64 y) z)) |
(-.f64 x (/.f64 y z)) |
(-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) x) (/.f64 y z)) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 z #s(literal 5 binary64)))) t x) (/.f64 y z)) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) t)) (pow.f64 z #s(literal 7 binary64)))) t (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t x) (/.f64 y z)) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) t) |
(/.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) t) |
(/.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) t) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
y |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (*.f64 z z)) #s(literal 1/2 binary64) y) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (*.f64 z z)) #s(literal 1/2 binary64) y) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (*.f64 z z)) #s(literal 1/2 binary64) y) |
(-.f64 x (/.f64 y z)) |
(-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) x) (/.f64 y z)) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 z #s(literal 5 binary64)))) t x) (/.f64 y z)) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) t)) (pow.f64 z #s(literal 7 binary64)))) t (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t x) (/.f64 y z)) |
(/.f64 (neg.f64 y) z) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) z)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) t)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (neg.f64 y) z)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) t)) (pow.f64 z #s(literal 7 binary64)))) t (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 (neg.f64 y) z)) |
(/.f64 (neg.f64 y) z) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) z)) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) z)) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) z)) |
(/.f64 (fma.f64 (fma.f64 x x (/.f64 (*.f64 (+.f64 (/.f64 y z) x) y) z)) (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 x x (/.f64 (*.f64 (+.f64 (/.f64 y z) x) y) z)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (fma.f64 x x (/.f64 (*.f64 (+.f64 (/.f64 y z) x) y) z)) #s(literal 2 binary64))) |
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(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) x) (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 z y)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 z y)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) #s(literal 2 binary64))) #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) #s(literal 3 binary64)) x))) x)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(pow.f64 x #s(literal 5 binary64)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 z y) x) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y))) #s(literal -2 binary64) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) x) (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 z y)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 z y) (*.f64 z y)) x) (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 z y)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) #s(literal 3 binary64))) #s(literal 8 binary64)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) #s(literal 3 binary64))) #s(literal 8 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) #s(literal 4 binary64)) x))) (*.f64 x x)) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) #s(literal 4 binary64))) #s(literal -16 binary64) (/.f64 (*.f64 #s(literal -32 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) #s(literal 5 binary64)) x))) x)) (*.f64 x x)) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) #s(literal 4 binary64))) #s(literal -16 binary64) (/.f64 (*.f64 #s(literal -32 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))) (*.f64 (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) #s(literal 5 binary64)) x))) x)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 1408 |
| 0 | 124 | 1315 |
| 1 | 533 | 1122 |
| 2 | 3952 | 1112 |
| 0 | 8213 | 1081 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) |
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t) |
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) y) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y)) |
(/.f64 #s(literal -1 binary64) z) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))) |
#s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)) |
(/.f64 (*.f64 #s(literal 2 binary64) z) t) |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z)))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z))) |
(/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)))) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (*.f64 z z) (*.f64 t y)) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z) |
(/.f64 (*.f64 y y) z) |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) |
(*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (/.f64 z t) z) y) |
| Outputs |
|---|
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Compiled 662 068 to 5 923 computations (99.1% saved)
17 alts after pruning (7 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 246 | 4 | 2 250 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 2 247 | 17 | 2 264 |
| Status | Accuracy | Program |
|---|---|---|
| 14.5% | (/.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x))) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 2 binary64))) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)))) | |
| 12.9% | (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 (neg.f64 x) x)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)))) | |
| 14.4% | (/.f64 (*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) #s(literal 2 binary64))) | |
| ✓ | 55.9% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) |
| ✓ | 54.0% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) |
| ✓ | 60.5% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| 20.7% | (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) #s(literal -1 binary64))) | |
| 6.6% | (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))))) #s(literal -1 binary64))) | |
| ✓ | 64.6% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
| ✓ | 21.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
| ✓ | 18.2% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))) |
| 18.1% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) | |
| ✓ | 12.8% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))) |
| ✓ | 14.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
| ✓ | 8.6% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z)))) |
| 14.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(literal -1 binary64) (/.f64 z y)))) | |
| ✓ | 14.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y))) |
Compiled 4 756 to 741 computations (84.4% saved)
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(literal -1 binary64) (/.f64 z y)))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z)))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x))) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 2 binary64))) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 (neg.f64 x) x)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
6 calls:
| 20.0ms | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 8.0ms | z |
| 7.0ms | y |
| 7.0ms | t |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 1 | x |
| 85.8% | 2 | y |
| 93.1% | 3 | z |
| 84.1% | 1 | t |
| 92.9% | 2 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 92.5% | 2 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
Compiled 36 to 41 computations (-13.9% saved)
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(literal -1 binary64) (/.f64 z y)))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
3 calls:
| 4.0ms | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 4.0ms | z |
| 4.0ms | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.1% | 3 | z |
| 70.9% | 3 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 69.4% | 2 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
Compiled 33 to 29 computations (12.1% saved)
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
1 calls:
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.1% | 3 | z |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
6 calls:
| 5.0ms | x |
| 3.0ms | z |
| 3.0ms | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 3.0ms | y |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.5% | 1 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 60.5% | 1 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 60.5% | 1 | x |
| 60.5% | 1 | t |
| 60.5% | 1 | y |
| 60.5% | 1 | z |
Compiled 36 to 41 computations (-13.9% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
6 calls:
| 1.0ms | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 14.7% | 1 | t |
| 14.7% | 1 | z |
| 14.7% | 1 | y |
| 14.7% | 1 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 14.7% | 1 | x |
| 14.7% | 1 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
Compiled 36 to 41 computations (-13.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.635756767072214e+290 | 6.936495651362311e+293 |
Compiled 20 to 20 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.027263118505538e-71 | 8.553882870504972e-63 |
| 18.0ms | -1.5633753686486193e+32 | -1.541092768782914e+29 |
| 23.0ms | 272× | 0 | valid |
Compiled 768 to 598 computations (22.1% saved)
ival-mult: 8.0ms (50.7% of total)ival-sub: 6.0ms (38% of total)ival-div: 2.0ms (12.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.027263118505538e-71 | 8.553882870504972e-63 |
| 1.0ms | -1.5633753686486193e+32 | -1.541092768782914e+29 |
Compiled 785 to 598 computations (23.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 264 |
| 1 | 75 | 264 |
| 2 | 102 | 264 |
| 3 | 130 | 264 |
| 4 | 178 | 264 |
| 5 | 227 | 264 |
| 6 | 274 | 264 |
| 7 | 407 | 264 |
| 8 | 611 | 264 |
| 9 | 733 | 264 |
| 10 | 753 | 264 |
| 11 | 764 | 264 |
| 12 | 779 | 264 |
| 13 | 782 | 264 |
| 14 | 788 | 264 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #s(literal 499999999999999978930451175173142066076775939048257141926258886614516577002786239313118268535951812574041306445493431857101228510021003209840763187482937088894311771724997242528629131330872974013383816137806524948480039480659075272709232330533995834790894142764502740352844098034426819117056 binary64)) (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))) |
(if (<=.f64 z #s(literal -379999999999999970964410466304 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 7873862068137501/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) |
(if (<=.f64 z #s(literal -379999999999999970964410466304 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 7873862068137501/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 t y)))) #s(literal 499999999999999978930451175173142066076775939048257141926258886614516577002786239313118268535951812574041306445493431857101228510021003209840763187482937088894311771724997242528629131330872974013383816137806524948480039480659075272709232330533995834790894142764502740352844098034426819117056 binary64)) (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 t y)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))) |
(if (<=.f64 z #s(literal -379999999999999970964410466304 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 7873862068137501/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) |
(if (<=.f64 z #s(literal -379999999999999970964410466304 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 7873862068137501/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 347 | 2170 |
| 1 | 1030 | 2124 |
| 2 | 3147 | 2097 |
| 0 | 8645 | 1977 |
| 0 | 644 | 10362 |
| 1 | 1986 | 10185 |
| 2 | 6192 | 10106 |
| 0 | 8280 | 9535 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 297 to 103 computations (65.3% saved)
Compiled 588 to 162 computations (72.4% saved)
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